Non Local Partial Differential Equations For Engineering And Biology

Download Non Local Partial Differential Equations For Engineering And Biology full books in PDF, epub, and Kindle. Read online Non Local Partial Differential Equations For Engineering And Biology ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Non-Local Partial Differential Equations for Engineering and Biology

Author : Nikos I. Kavallaris
Publisher : Springer
ISBN 13 : 3319679449
Total Pages : 310 pages
Book Rating : 4.3/5 (196 download)

DOWNLOAD NOW!

Book Synopsis Non-Local Partial Differential Equations for Engineering and Biology by : Nikos I. Kavallaris

Download or read book Non-Local Partial Differential Equations for Engineering and Biology written by Nikos I. Kavallaris and published by Springer. This book was released on 2017-11-28 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new developments in non-local mathematical modeling and mathematical analysis on the behavior of solutions with novel technical tools. Theoretical backgrounds in mechanics, thermo-dynamics, game theory, and theoretical biology are examined in details. It starts off with a review and summary of the basic ideas of mathematical modeling frequently used in the sciences and engineering. The authors then employ a number of models in bio-science and material science to demonstrate applications, and provide recent advanced studies, both on deterministic non-local partial differential equations and on some of their stochastic counterparts used in engineering. Mathematical models applied in engineering, chemistry, and biology are subject to conservation laws. For instance, decrease or increase in thermodynamic quantities and non-local partial differential equations, associated with the conserved physical quantities as parameters. These present novel mathematical objects are engaged with rich mathematical structures, in accordance with the interactions between species or individuals, self-organization, pattern formation, hysteresis. These models are based on various laws of physics, such as mechanics of continuum, electro-magnetic theory, and thermodynamics. This is why many areas of mathematics, calculus of variation, dynamical systems, integrable systems, blow-up analysis, and energy methods are indispensable in understanding and analyzing these phenomena. This book aims for researchers and upper grade students in mathematics, engineering, physics, economics, and biology.

Systems of Nonlinear Partial Differential Equations

Author : A.W. Leung
Publisher : Springer Science & Business Media
ISBN 13 : 9401539375
Total Pages : 416 pages
Book Rating : 4.4/5 (15 download)

DOWNLOAD NOW!

Book Synopsis Systems of Nonlinear Partial Differential Equations by : A.W. Leung

Download or read book Systems of Nonlinear Partial Differential Equations written by A.W. Leung and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi ..., si j'avait su comment en reveru.r, One service mathematics has rendered the je n'y scrais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. o. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Systems of Nonlinear Partial Differential Equations

Author : Anthony Leung
Publisher : Springer
ISBN 13 : 9789401539388
Total Pages : 409 pages
Book Rating : 4.5/5 (393 download)

DOWNLOAD NOW!

Book Synopsis Systems of Nonlinear Partial Differential Equations by : Anthony Leung

Download or read book Systems of Nonlinear Partial Differential Equations written by Anthony Leung and published by Springer. This book was released on 2014-03-14 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations

Author : Günter Lumer
Publisher : De Gruyter Akademie Forschung
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.F/5 ( download)

DOWNLOAD NOW!

Book Synopsis Partial Differential Equations by : Günter Lumer

Download or read book Partial Differential Equations written by Günter Lumer and published by De Gruyter Akademie Forschung. This book was released on 1994 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions of the conference "Partial Differential Equations" in Han-sur-Lesse, Belgium, December 1993. The originally intended Belgian-French meeting developed into a truely international conference, including specialists from Argentina, Germany, Puerto Rico, Russia, Spain, and the USA. The authors was to discuss a variety of important questions in applied sciences, engineering and mathematical physics which lead to deep structures and new challenges to the analysis of partial differential equations. The articles show the complexity of phenomena for a broader readership in non-linear analysis, free boundary value problems, effects from singularities, asymptotics, and stability of solutions.

Input-to-State Stability for PDEs

Author : Iasson Karafyllis
Publisher : Springer
ISBN 13 : 3319910116
Total Pages : 296 pages
Book Rating : 4.3/5 (199 download)

DOWNLOAD NOW!

Book Synopsis Input-to-State Stability for PDEs by : Iasson Karafyllis

Download or read book Input-to-State Stability for PDEs written by Iasson Karafyllis and published by Springer. This book was released on 2018-06-07 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book lays the foundation for the study of input-to-state stability (ISS) of partial differential equations (PDEs) predominantly of two classes—parabolic and hyperbolic. This foundation consists of new PDE-specific tools. In addition to developing ISS theorems, equipped with gain estimates with respect to external disturbances, the authors develop small-gain stability theorems for systems involving PDEs. A variety of system combinations are considered: PDEs (of either class) with static maps; PDEs (again, of either class) with ODEs; PDEs of the same class (parabolic with parabolic and hyperbolic with hyperbolic); and feedback loops of PDEs of different classes (parabolic with hyperbolic). In addition to stability results (including ISS), the text develops existence and uniqueness theory for all systems that are considered. Many of these results answer for the first time the existence and uniqueness problems for many problems that have dominated the PDE control literature of the last two decades, including—for PDEs that include non-local terms—backstepping control designs which result in non-local boundary conditions. Input-to-State Stability for PDEs will interest applied mathematicians and control specialists researching PDEs either as graduate students or full-time academics. It also contains a large number of applications that are at the core of many scientific disciplines and so will be of importance for researchers in physics, engineering, biology, social systems and others.

Analytical Properties of Nonlinear Partial Differential Equations

Author : Alexei Cheviakov
Publisher : Springer Nature
ISBN 13 : 3031530748
Total Pages : 322 pages
Book Rating : 4.0/5 (315 download)

DOWNLOAD NOW!

Book Synopsis Analytical Properties of Nonlinear Partial Differential Equations by : Alexei Cheviakov

Download or read book Analytical Properties of Nonlinear Partial Differential Equations written by Alexei Cheviakov and published by Springer Nature. This book was released on with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Superlinear Parabolic Problems

Author : Prof. Dr. Pavol Quittner
Publisher : Springer
ISBN 13 : 3030182223
Total Pages : 719 pages
Book Rating : 4.0/5 (31 download)

DOWNLOAD NOW!

Book Synopsis Superlinear Parabolic Problems by : Prof. Dr. Pavol Quittner

Download or read book Superlinear Parabolic Problems written by Prof. Dr. Pavol Quittner and published by Springer. This book was released on 2019-06-13 with total page 719 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure; namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas. Many open problems are mentioned and commented. The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics. The first edition of this book has become one of the standard references in the field. This second edition provides a revised text and contains a number of updates reflecting significant recent advances that have appeared in this growing field since the first edition.

Flow and Transport Properties of Unconventional Reservoirs 2018

Author : Jianchao Cai
Publisher : MDPI
ISBN 13 : 3039211161
Total Pages : 364 pages
Book Rating : 4.0/5 (392 download)

DOWNLOAD NOW!

Book Synopsis Flow and Transport Properties of Unconventional Reservoirs 2018 by : Jianchao Cai

Download or read book Flow and Transport Properties of Unconventional Reservoirs 2018 written by Jianchao Cai and published by MDPI. This book was released on 2019-07-23 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unconventional reservoirs are usually complex and highly heterogeneous, such as shale, coal, and tight sandstone reservoirs. The strong physical and chemical interactions between fluids and pore surfaces lead to the inapplicability of conventional approaches for characterizing fluid flow in these low-porosity and ultralow-permeability reservoir systems. Therefore, new theories and techniques are urgently needed to characterize petrophysical properties, fluid transport, and their relationships at multiple scales for improving production efficiency from unconventional reservoirs. This book presents fundamental innovations gathered from 21 recent works on novel applications of new techniques and theories in unconventional reservoirs, covering the fields of petrophysical characterization, hydraulic fracturing, fluid transport physics, enhanced oil recovery, and geothermal energy. Clearly, the research covered in this book is helpful to understand and master the latest techniques and theories for unconventional reservoirs, which have important practical significance for the economic and effective development of unconventional oil and gas resources.

Statistical Rock Physics

Author : Gabor Korvin
Publisher : Springer Nature
ISBN 13 : 3031467000
Total Pages : 541 pages
Book Rating : 4.0/5 (314 download)

DOWNLOAD NOW!

Book Synopsis Statistical Rock Physics by : Gabor Korvin

Download or read book Statistical Rock Physics written by Gabor Korvin and published by Springer Nature. This book was released on with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Methods in Engineering

Author : K. Tas
Publisher : Springer Science & Business Media
ISBN 13 : 1402056788
Total Pages : 451 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Methods in Engineering by : K. Tas

Download or read book Mathematical Methods in Engineering written by K. Tas and published by Springer Science & Business Media. This book was released on 2007-11-25 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains some of the contributions that have been carefully selected and peer-reviewed, which were presented at the International Symposium MME06 Mathematical Methods in Engineering, held in Cankaya University, Ankara, April 2006. The Symposium provided a setting for discussing recent developments in Fractional Mathematics, Neutrices and Generalized Functions, Boundary Value Problems, Applications of Wavelets, Dynamical Systems and Control Theory.

Analytical Properties of Nonlinear Partial Differential Equations

Author : Alexei F. Cheviakov
Publisher :
ISBN 13 : 9783031530760
Total Pages : 0 pages
Book Rating : 4.5/5 (37 download)

DOWNLOAD NOW!

Book Synopsis Analytical Properties of Nonlinear Partial Differential Equations by : Alexei F. Cheviakov

Download or read book Analytical Properties of Nonlinear Partial Differential Equations written by Alexei F. Cheviakov and published by . This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear partial differential equations (PDE) are at the core of mathematical modeling. In the past decades and recent years, multiple analytical methods to study various aspects of the mathematical structure of nonlinear PDEs have been developed. Those aspects include C- and S-integrability, Lagrangian and Hamiltonian formulations, equivalence transformations, local and nonlocal symmetries, conservation laws, and more. Modern computational approaches and symbolic software can be employed to systematically derive and use such properties, and where possible, construct exact and approximate solutions of nonlinear equations. This book contains a consistent overview of multiple properties of nonlinear PDEs, their relations, computation algorithms, and a uniformly presented set of examples of application of these methods to specific PDEs. Examples include both well known nonlinear PDEs and less famous systems that arise in the context of shallow water waves and far beyond. The book will be of interest to researchers and graduate students in applied mathematics, physics, and engineering, and can be used as a basis for research, study, reference, and applications.

Nonlinear Partial Differential Equations in Engineering

Author : W. F. Ames
Publisher : Academic Press
ISBN 13 : 008095524X
Total Pages : 528 pages
Book Rating : 4.0/5 (89 download)

DOWNLOAD NOW!

Book Synopsis Nonlinear Partial Differential Equations in Engineering by : W. F. Ames

Download or read book Nonlinear Partial Differential Equations in Engineering written by W. F. Ames and published by Academic Press. This book was released on 1965-01-01 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Partial Differential Equations in Engineering

Non-linear Partial Differential Equations Applied to Diffusion Problems Arising in Mathematical Biology

Author : Marwan S. Abu Al-rub
Publisher :
ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.:/5 (271 download)

DOWNLOAD NOW!

Book Synopsis Non-linear Partial Differential Equations Applied to Diffusion Problems Arising in Mathematical Biology by : Marwan S. Abu Al-rub

Download or read book Non-linear Partial Differential Equations Applied to Diffusion Problems Arising in Mathematical Biology written by Marwan S. Abu Al-rub and published by . This book was released on 1992 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractional-in-Time Semilinear Parabolic Equations and Applications

Author : Ciprian G. Gal
Publisher : Springer Nature
ISBN 13 : 3030450430
Total Pages : 193 pages
Book Rating : 4.0/5 (34 download)

DOWNLOAD NOW!

Book Synopsis Fractional-in-Time Semilinear Parabolic Equations and Applications by : Ciprian G. Gal

Download or read book Fractional-in-Time Semilinear Parabolic Equations and Applications written by Ciprian G. Gal and published by Springer Nature. This book was released on 2020-09-23 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations. This class of equations is characterized by the presence of a nonlinear time-dependent source, generally of arbitrary growth in the unknown function, a time derivative in the sense of Caputo and the presence of a large class of diffusion operators. The global regularity problem is then treated separately and the analysis is extended to some systems of fractional kinetic equations, including prey-predator models of Volterra–Lotka type and chemical reactions models, all of them possibly containing some fractional kinetics. Besides classical examples involving the Laplace operator, subject to standard (namely, Dirichlet, Neumann, Robin, dynamic/Wentzell and Steklov) boundary conditions, the framework also includes non-standard diffusion operators of "fractional" type, subject to appropriate boundary conditions. This book is aimed at graduate students and researchers in mathematics, physics, mathematical engineering and mathematical biology, whose research involves partial differential equations.

Stochastic Evolution Equations

Author : Wilfried Grecksch
Publisher : De Gruyter Akademie Forschung
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!

Book Synopsis Stochastic Evolution Equations by : Wilfried Grecksch

Download or read book Stochastic Evolution Equations written by Wilfried Grecksch and published by De Gruyter Akademie Forschung. This book was released on 1995 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors give a self-contained exposition of the theory of stochastic evolution equations. Elements of infinite dimensional analysis, martingale theory in Hilbert spaces, stochastic integrals, stochastic convolutions are applied. Existence and uniqueness theorems for stochastic evolution equations in Hilbert spaces in the sense of the semigroup theory, the theory of evolution operators, and monotonous operators in rigged Hilbert spaces are discussed. Relationships between the different concepts are demonstrated. The results are used to concrete stochastic partial differential equations like parabolic and hyperbolic Ito equations and random constitutive equations of elastic viscoplastic materials. Furthermore, stochastic evolution equations in rigged Hilbert spaces are approximated by time discretization methods.

Spaces of Measures and their Applications to Structured Population Models

Author : Christian Düll
Publisher : Cambridge University Press
ISBN 13 : 1009020471
Total Pages : 322 pages
Book Rating : 4.0/5 (9 download)

DOWNLOAD NOW!

Book Synopsis Spaces of Measures and their Applications to Structured Population Models by : Christian Düll

Download or read book Spaces of Measures and their Applications to Structured Population Models written by Christian Düll and published by Cambridge University Press. This book was released on 2021-10-07 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animals or humans, including phenomena such as crowd dynamics or pedestrian flows. This book introduces the mathematical underpinnings of these applications, providing a comprehensive analytical framework for structured population models in spaces of Radon measures. The unified approach allows for the study of transport processes on structures that are not vector spaces (such as traffic flow on graphs) and enables the analysis of the numerical algorithms used in applications. Presenting a coherent account of over a decade of research in the area, the text includes appendices outlining the necessary background material and discusses current trends in the theory, enabling graduate students to jump quickly into research.

Weak and Measure-Valued Solutions to Evolutionary PDEs

Author : J. Necas
Publisher : CRC Press
ISBN 13 : 1000723127
Total Pages : 334 pages
Book Rating : 4.0/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Weak and Measure-Valued Solutions to Evolutionary PDEs by : J. Necas

Download or read book Weak and Measure-Valued Solutions to Evolutionary PDEs written by J. Necas and published by CRC Press. This book was released on 2019-08-16 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations. It provides a rigorous analysis of non-Newtonian fluids, and outlines its results for applications in physics, biology, and mechanical engineering