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Some Additional Remarks On The Nonexistence Of Global Solutions To Nonlinear Wave Equations
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Book Synopsis Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations by : Howard A. Levine
Download or read book Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations written by Howard A. Levine and published by . This book was released on 1972 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu(tt) by : Howard A. Levine
Download or read book Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu(tt) written by Howard A. Levine and published by . This book was released on 1972 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Blow-Up in Nonlinear Equations of Mathematical Physics by : Maxim Olegovich Korpusov
Download or read book Blow-Up in Nonlinear Equations of Mathematical Physics written by Maxim Olegovich Korpusov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-08-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics. The included material is based on lectures read by the authors at the Lomonosov Moscow State University, and the book is addressed to a wide range of researchers and graduate students working in nonlinear partial differential equations, nonlinear functional analysis, and mathematical physics. Contents Nonlinear capacity method of S. I. Pokhozhaev Method of self-similar solutions of V. A. Galaktionov Method of test functions in combination with method of nonlinear capacity Energy method of H. A. Levine Energy method of G. Todorova Energy method of S. I. Pokhozhaev Energy method of V. K. Kalantarov and O. A. Ladyzhenskaya Energy method of M. O. Korpusov and A. G. Sveshnikov Nonlinear Schrödinger equation Variational method of L. E. Payne and D. H. Sattinger Breaking of solutions of wave equations Auxiliary and additional results
Book Synopsis Ill-Posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory by : Frederick Bloom
Download or read book Ill-Posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory written by Frederick Bloom and published by SIAM. This book was released on 1981-10-01 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines initial-history boundary-value problems associated with systems of partial-integrodifferential equations arising in mechanics and electromagnetic theories.
Book Synopsis Improperly Posed Problems in Partial Differential Equations by : L. E. Payne
Download or read book Improperly Posed Problems in Partial Differential Equations written by L. E. Payne and published by SIAM. This book was released on 1975-06-01 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discussion of improperly posed Cauchy problems in partial differential equations
Book Synopsis Nonlinear Equations in the Applied Sciences by : W. F. Ames
Download or read book Nonlinear Equations in the Applied Sciences written by W. F. Ames and published by Academic Press. This book was released on 1991-08-16 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Equations in the Applied Sciences
Book Synopsis Harmonic Analysis and Nonlinear Differential Equations by : Victor Lenard Shapiro
Download or read book Harmonic Analysis and Nonlinear Differential Equations written by Victor Lenard Shapiro and published by American Mathematical Soc.. This book was released on 1997 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are also several survey articles on recent developments in multiple trigonometric series, dyadic harmonic analysis, special functions, analysis on fractals, and shock waves, as well as papers with new results in nonlinear differential equations. These survey articles, along with several of the research articles, cover a wide variety of applications such as turbulence, general relativity and black holes, neural networks, and diffusion and wave propagation in porous media.
Book Synopsis New Achievements in Continuum Mechanics and Thermodynamics by : Bilen Emek Abali
Download or read book New Achievements in Continuum Mechanics and Thermodynamics written by Bilen Emek Abali and published by Springer. This book was released on 2019-03-13 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a liber amicorum dedicated to Wolfgang H. Müller, and highlights recent advances in Prof. Müller’s major fields of research: continuum mechanics, generalized mechanics, thermodynamics, mechanochemistry, and geomechanics. Over 50 of Prof. Müller’s friends and colleagues contributed to this book, which commemorates his 60th birthday and was published in recognition of his outstanding contributions.
Book Synopsis Mathematical Problems of Classical Nonlinear Electromagnetic Theory by : Frederick Bloom
Download or read book Mathematical Problems of Classical Nonlinear Electromagnetic Theory written by Frederick Bloom and published by CRC Press. This book was released on 2020-11-29 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of some problems of current interest in the realm of classical nonlinear electromagnetic theory.
Book Synopsis Singular and Degenerate Cauchy Problems by :
Download or read book Singular and Degenerate Cauchy Problems written by and published by Academic Press. This book was released on 1977-01-13 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Book Synopsis Mathematics & Mathematics Education by : Saber Elaydi
Download or read book Mathematics & Mathematics Education written by Saber Elaydi and published by World Scientific. This book was released on 2002 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers a wide range of areas in mathematics and mathematics education. There is emphasis on applied mathematics, including partial differential equations, dynamical systems, and difference equations. Other areas represented include algebra and number theory, statistics, and issues in mathematics education.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)
Book Synopsis Applied Analysis, Computation and Mathematical Modelling in Engineering by : Santanu Saha Ray
Download or read book Applied Analysis, Computation and Mathematical Modelling in Engineering written by Santanu Saha Ray and published by Springer Nature. This book was released on 2022-06-29 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compendium of the proceedings of the International Conference on Applied Analysis, Computation, and Mathematical Modelling in Engineering (AACMME-2021). The book covers a variety of applications such as mechanical, acoustical, physical, electrical, bio-mathematical, and computational fluid dynamics. Since mathematical modeling necessitates a wide range of skills and methods, the book concentrates on techniques that will be of specific interest to engineers, scientists, and those who work with discrete and continuous systems models. This book guides students, researchers, and professionals through the new approaches, the powerful tools for quickly mastering the most popular mathematical and computational models used in engineering and science. These new approaches enable readers to not only systematically create effective models, but also extend these models to any macroscopic physical structure.
Book Synopsis Nonlinear Wave Equations by : Walter A. Strauss
Download or read book Nonlinear Wave Equations written by Walter A. Strauss and published by American Mathematical Soc.. This book was released on 1990-01-12 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of nonlinear wave equations in the absence of shocks began in the 1960s. Despite a great deal of recent activity in this area, some major issues remain unsolved, such as sharp conditions for the global existence of solutions with arbitrary initial data, and the global phase portrait in the presence of periodic solutions and traveling waves. This book, based on lectures presented by the author at George Mason University in January 1989, seeks to present the sharpest results to date in this area. The author surveys the fundamental qualitative properties of the solutions of nonlinear wave equations in the absence of boundaries and shocks. These properties include the existence and regularity of global solutions, strong and weak singularities, asymptotic properties, scattering theory and stability of solitary waves. Wave equations of hyperbolic, Schrodinger, and KdV type are discussed, as well as the Yang-Mills and the Vlasov-Maxwell equations. The book offers readers a broad overview of the field and an understanding of the most recent developments, as well as the status of some important unsolved problems. Intended for mathematicians and physicists interested in nonlinear waves, this book would be suitable as the basis for an advanced graduate-level course.
Book Synopsis Non-Existence of Global Solutions of Partial of F(u Sub T) with Respect to T in Two and Three Space Dimensions by : F. John
Download or read book Non-Existence of Global Solutions of Partial of F(u Sub T) with Respect to T in Two and Three Space Dimensions written by F. John and published by . This book was released on 1984 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solutions of nonlinear hyperbolic partial differential equations often develop singularities spontaneously. Physically this phenomenon corresponds to the formation of shocks in nonlinear waves. One is confronted with the questions: What are the factors contributing to this blow-up of solutions? How long does it take for blow-up to develop (i.e. what is the life span T of the solution)? What goes on precisely during blow-up? There is no general answer covering the great variety of situations encountered. A critical role certainly is played by the size of the initial disturbance that gives rise to the wave solution, and by the number of dimensions of the space in which the wave propagates. One finds that larger disturbances are more likely to result in shocks, and that, on the other hand, with increased dimension there are more possibilities for the wave to spread out and to decay, thus counteracting the formation of shocks. This document is concerned with a special type of second order nonlinear wave equation, whose behavior can be expected to be typical for a large class of equations occurring in applications, e.g. in the propagation of waves of finite amplitude in elastic materials.
Book Synopsis Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors by : Yuming Qin
Download or read book Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors written by Yuming Qin and published by Springer Science & Business Media. This book was released on 2008-11-25 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent results concerning the global existence in time, the large-time behavior, decays of solutions and the existence of global attractors for nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential equations.
Download or read book Journal of Mathematics written by and published by . This book was released on 2001 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topological Methods in Nonlinear Analysis by :
Download or read book Topological Methods in Nonlinear Analysis written by and published by . This book was released on 2001 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
