Nonlinear Partial Differential Equations and Free Boundaries PDF Download

Author: J. I. Díaz
Publisher: Pitman Advanced Publishing Program
ISBN: 9780273085720
Category : Boundary value problems
Languages : en
Pages : 0

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Author: Hervé Le Dret
Publisher: Springer
ISBN: 3319783904
Category : Mathematics
Languages : en
Pages : 253

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Book Description
This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations. After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations. Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.

Author: J. I. Diaz
Publisher: Longman Sc & Tech
ISBN: 9780470206546
Category : Mathematics
Languages : en
Pages : 323

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Author: S.N. Antontsev
Publisher: Springer Science & Business Media
ISBN: 1461200911
Category : Technology & Engineering
Languages : en
Pages : 338

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Book Description
For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999). From the proceedings of these meetings, we can learn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Interfaces and Free Boundaries: Modeling, Analysis and Computation gives us an idea of the vitality of the subject and its present state of development. This book is a result of collaboration among the authors over the last 15 years.

Author: DIAZ J.I.
Publisher:
ISBN:
Category :
Languages : it
Pages :

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Author: Valentin Nikolaevich Monakhov
Publisher: American Mathematical Soc.
ISBN: 9780821898079
Category : Mathematics
Languages : en
Pages : 540

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This book is concerned with certain classes of nonlinear problems for elliptic systems of partial differential equations: boundary-value problems with free boundaries. The first part has to do with the general theory of boundary-value problems for analytic functions and its applications to hydrodynamics. The second presents the theory of quasiconformal mappings, along with the theory of boundary-value problems for elliptic systems of equations and applications of it to problems in the mechanics of continuous media with free boundaries: problems in subsonic gas dynamics, filtration theory, and problems in elastico-plasticity.

Author: Gui-Qiang Chen
Publisher: American Mathematical Soc.
ISBN: 0821835335
Category : Mathematics
Languages : en
Pages : 336

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Book Description
The Emphasis Year on Nonlinear Partial Differential Equations and Related Analysis at Northwestern University produced this fine collection of original research and survey articles. Many well-known mathematicians attended the events and submitted their contributions for this volume. Eighteen papers comprise this work, representing the most significant advances and current trends in nonlinear PDEs and their applications. Topics covered include elliptic and parabolic equations, NavierStokes equations, and hyperbolic conservation laws. Important applications are presented from incompressible and compressible fluid mechanics, combustion, and electromagnetism. Also included are articles on recent advances in statistical reliability in modeling, simulation, level set methods forimage processing, shock waves, free boundaries, boundary layers, errors in numerical solutions, stability, instability, and singular limits. The volume is suitable for researchers and graduate students interested in partial differential equations.

Author: A Benkirane
Publisher: CRC Press
ISBN: 9780582292130
Category : Mathematics
Languages : en
Pages : 220

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Book Description
This book presents a collection of selected contributions on recent results in nonlinear partial differential equations from participants to an international conference held in Fes, Morocco in 1994. The emphasis is on nonlinear elliptic boundary value problems, but there are also papers deveoted to related areas such as monotone operator theory, calculus of variations, Hamiltonian systems and periodic solutions. Some of the papers are exhaustive surveys, while others contain new results,published here for the first time. This book will be of particular interest to graduate or postgraduate students as well as to specialists in these areas.

Author: C.V. Pao
Publisher: Springer Science & Business Media
ISBN: 1461530342
Category : Mathematics
Languages : en
Pages : 786

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In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems. It is an important reference for mathematicians and engineers, as well as a practical text for graduate students.

Author: Mingxin Wang
Publisher: Springer Nature
ISBN: 9819986923
Category :
Languages : en
Pages : 319

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