Boundary Value Problems And Free Boundary Problems For Quasilinear Hyperbolic Parabolic Coupled Systems

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Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems

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Author : Songmu Zheng
Publisher : CRC Press
ISBN 13 : 149874964X
Total Pages : 269 pages
Book Rating : 4.4/5 (987 download)

Book Synopsis Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems by : Songmu Zheng

Download or read book Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems written by Songmu Zheng and published by CRC Press. This book was released on 2020-05-05 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the global existence, uniqueness and asymptotic behaviour of smooth solutions to both initial value problems and initial boundary value problems for nonlinear parabolic equations and hyperbolic parabolic coupled systems. Most of the material is based on recent research carried out by the author and his collaborators. The book can be divided into two parts. In the first part, the results on decay of solutions to nonlinear parabolic equations and hyperbolic parabolic coupled systems are obtained, and a chapter is devoted to the global existence of small smooth solutions to fully nonlinear parabolic equations and quasilinear hyperbolic parabolic coupled systems. Applications of the results to nonlinear thermoelasticity and fluid dynamics are also shown. Some nonlinear parabolic equations and coupled systems arising from the study of phase transitions are investigated in the second part of the book. The global existence, uniqueness and asymptotic behaviour of smooth solutions with arbitrary initial data are obtained. The final chapter is further devoted to related topics: multiplicity of equilibria and the existence of a global attractor, inertial manifold and inertial set. A knowledge of partial differential equations and Sobolev spaces is assumed. As an aid to the reader, the related concepts and results are collected and the relevant references given in the first chapter. The work will be of interest to researchers and graduate students in pure and applied mathematics, mathematical physics and applied sciences.

Free Boundary Problems in Fluid Flow with Applications

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Author : J M Chadam
Publisher : CRC Press
ISBN 13 : 9780582215672
Total Pages : 278 pages
Book Rating : 4.2/5 (156 download)

Book Synopsis Free Boundary Problems in Fluid Flow with Applications by : J M Chadam

Download or read book Free Boundary Problems in Fluid Flow with Applications written by J M Chadam and published by CRC Press. This book was released on 1993-02-22 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third of three volumes containing the proceedings of the International Colloquium 'Free Boundary problems: Theory and Applications', held in Montreal from June 13 to June 22, 1990. The main part of this volume studies the flow of fluids, an area which has led to many of the classical free boundary problems. The first two sections contain the papers on various problems in fluid mechanics. The types of problems vary fromthe collision of two jets to the growth of a sand wave. In the next two sections porous flow is considered. This has important practical applications in fields such as petroleum engineering and groundwater pollution. Some new and interesting free boundary problems in geology and engineering are treated in the final section.

Scientific and Technical Aerospace Reports

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Author :
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.:/5 (3 download)

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Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Lectures on Nonlinear Evolution Equations

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Author : Reinhard Racke
Publisher : Springer Science & Business Media
ISBN 13 : 3663106292
Total Pages : 268 pages
Book Rating : 4.6/5 (631 download)

Book Synopsis Lectures on Nonlinear Evolution Equations by : Reinhard Racke

Download or read book Lectures on Nonlinear Evolution Equations written by Reinhard Racke and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as an elementary, self contained introduction into some important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The presentation is made using the classical method of continuation of local solutions with the help of a priori estimates obtained for small data.

MRC Technical Summary Report

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Author : University of Wisconsin--Madison. Mathematics Research Center
Publisher :
ISBN 13 :
Total Pages : 634 pages
Book Rating : 4.:/5 (89 download)

Book Synopsis MRC Technical Summary Report by : University of Wisconsin--Madison. Mathematics Research Center

Download or read book MRC Technical Summary Report written by University of Wisconsin--Madison. Mathematics Research Center and published by . This book was released on 1981 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Differential Equations

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Author : Shiing-shen Chern
Publisher : Springer
ISBN 13 : 354039107X
Total Pages : 301 pages
Book Rating : 4.5/5 (43 download)

Book Synopsis Partial Differential Equations by : Shiing-shen Chern

Download or read book Partial Differential Equations written by Shiing-shen Chern and published by Springer. This book was released on 2006-11-14 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains a selection of papers presented at the 7th Symposium on differential geometry and differential equations (DD7) held at the Nankai Institute of Mathematics, Tianjin, China, in 1986. Most of the contributions are original research papers on topics including elliptic equations, hyperbolic equations, evolution equations, non-linear equations from differential geometry and mechanics, micro-local analysis.

International Workshop on Applied Differential Equations

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Author : Shutie Xiao
Publisher :
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.:/5 (44 download)

Book Synopsis International Workshop on Applied Differential Equations by : Shutie Xiao

Download or read book International Workshop on Applied Differential Equations written by Shutie Xiao and published by . This book was released on 1986 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Differential Equations: Evolutionary Equations

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Author : C.M. Dafermos
Publisher : Elsevier
ISBN 13 : 0080521827
Total Pages : 579 pages
Book Rating : 4.0/5 (85 download)

Book Synopsis Handbook of Differential Equations: Evolutionary Equations by : C.M. Dafermos

Download or read book Handbook of Differential Equations: Evolutionary Equations written by C.M. Dafermos and published by Elsevier. This book was released on 2004-08-24 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations. The main objective is to present clear, rigorous,and in depth surveys on the most important aspects of the present theory. The table of contents includes: W.Arendt: Semigroups and evolution equations: Calculus, regularity and kernel estimatesA.Bressan: The front tracking method for systems of conservation lawsE.DiBenedetto, J.M.Urbano,V.Vespri: Current issues on singular and degenerate evolution equations;L.Hsiao, S.Jiang: Nonlinear hyperbolic-parabolic coupled systemsA.Lunardi: Nonlinear parabolic equations and systemsD.Serre:L1-stability of nonlinear waves in scalar conservation laws B.Perthame:Kinetic formulations of parabolic and hyperbolic PDE's: from theory to numerics

Nonlinear Second Order Parabolic Equations

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Author : Mingxin Wang
Publisher : CRC Press
ISBN 13 : 1000353958
Total Pages : 240 pages
Book Rating : 4.0/5 (3 download)

Book Synopsis Nonlinear Second Order Parabolic Equations by : Mingxin Wang

Download or read book Nonlinear Second Order Parabolic Equations written by Mingxin Wang and published by CRC Press. This book was released on 2021-04-26 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The parabolic partial differential equations model one of the most important processes in the real-world: diffusion. Whether it is the diffusion of energy in space-time, the diffusion of species in ecology, the diffusion of chemicals in biochemical processes, or the diffusion of information in social networks, diffusion processes are ubiquitous and crucial in the physical and natural world as well as our everyday lives. This book is self-contained and covers key topics such as theory and Schauder theory, maximum principle, comparison principle, regularity and uniform estimates, initial-boundary value problems of semilinear parabolic scalar equations and weakly coupled parabolic systems, the upper and lower solutions method, monotone properties and long-time behaviours of solutions, convergence of solutions and stability of equilibrium solutions, global solutions and finite time blowup. It also touches on periodic boundary value problems, free boundary problems, and semigroup theory. The book covers major theories and methods of the field, including topics that are useful but hard to find elsewhere. This book is based on tried and tested teaching materials used at the Harbin Institute of Technology over the past ten years. Special care was taken to make the book suitable for classroom teaching as well as for self-study among graduate students. About the Author: Mingxin Wang is Professor of Mathematics at Harbin Institute of Technology, China. He has published ten monographs and textbooks and 260 papers. He is also a supervisor of 30 PhD students.

MRC Technical Summary Report

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Author : United States. Army. Mathematics Research Center
Publisher :
ISBN 13 :
Total Pages : 202 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis MRC Technical Summary Report by : United States. Army. Mathematics Research Center

Download or read book MRC Technical Summary Report written by United States. Army. Mathematics Research Center and published by . This book was released on 1984 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hyperbolic Problems: Theory, Numerics, Applications

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Author : Heinrich Freistühler
Publisher : Springer Science & Business Media
ISBN 13 : 9783764367091
Total Pages : 494 pages
Book Rating : 4.3/5 (67 download)

Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications by : Heinrich Freistühler

Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Heinrich Freistühler and published by Springer Science & Business Media. This book was released on 2002-01-01 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Eighth International Conference on Hyperbolic Problems - Theory, Nu merics, Applications, was held in Magdeburg, Germany, from February 27 to March 3, 2000. It was attended by over 220 participants from many European countries as well as Brazil, Canada, China, Georgia, India, Israel, Japan, Taiwan, und the USA. There were 12 plenary lectures, 22 further invited talks, and around 150 con tributed talks in parallel sessions as well as posters. The speakers in the parallel sessions were invited to provide a poster in order to enhance the dissemination of information. Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. Despite considerable progress, the mathematical theory is still strug gling with fundamental open problems concerning systems of such equations in multiple space dimensions. For various applications the development of accurate and efficient numerical schemes for computation is of fundamental importance. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended ther modynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability ofshock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite ele ment schemes, adaptive, multiresolution, and artificial dissipation methods.

Publications of the Mathematics Research Center, July 1, 1975 Thru December 31, 1985

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Author : University of Wisconsin--Madison. Mathematics Research Center
Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.0/5 ( download)

Book Synopsis Publications of the Mathematics Research Center, July 1, 1975 Thru December 31, 1985 by : University of Wisconsin--Madison. Mathematics Research Center

Download or read book Publications of the Mathematics Research Center, July 1, 1975 Thru December 31, 1985 written by University of Wisconsin--Madison. Mathematics Research Center and published by . This book was released on 1985 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government Reports Announcements & Index

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Author :
Publisher :
ISBN 13 :
Total Pages : 854 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1982 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied mechanics reviews

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Author :
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (243 download)

Book Synopsis Applied mechanics reviews by :

Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Physics Briefs

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Publisher :
ISBN 13 :
Total Pages : 1264 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Physics Briefs by :

Download or read book Physics Briefs written by and published by . This book was released on 1985 with total page 1264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

China Science & Technology Abstracts

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Author :
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

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Download or read book China Science & Technology Abstracts written by and published by . This book was released on 1987 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews

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Author :
Publisher :
ISBN 13 :
Total Pages : 722 pages
Book Rating : 4.:/5 (43 download)

Book Synopsis Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews by :

Download or read book Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews written by and published by . This book was released on 1988 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: