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Weak Convergence Methods for Nonlinear Partial Differential Equations

Weak Convergence Methods for Nonlinear Partial Differential Equations PDF Author: Lawrence C. Evans
Publisher: American Mathematical Soc.
ISBN: 0821807242
Category : Mathematics
Languages : en
Pages : 98

Book Description
"Expository lectures from the the CBMS Regional Conference held at Loyola University of Chicago, June 27-July 1, 1988."--T.p. verso.

Weak Convergence Methods for Nonlinear Partial Differential Equations

Weak Convergence Methods for Nonlinear Partial Differential Equations PDF Author: Lawrence C. Evans
Publisher: American Mathematical Soc.
ISBN: 0821807242
Category : Mathematics
Languages : en
Pages : 98

Book Description
"Expository lectures from the the CBMS Regional Conference held at Loyola University of Chicago, June 27-July 1, 1988."--T.p. verso.

Nonlinear Partial Differential Equations for Future Applications

Nonlinear Partial Differential Equations for Future Applications PDF Author: Shigeaki Koike
Publisher: Springer
ISBN: 9789813348240
Category : Mathematics
Languages : en
Pages : 261

Book Description
This volume features selected, original, and peer-reviewed papers on topics from a series of workshops on Nonlinear Partial Differential Equations for Future Applications that were held in 2017 at Tohoku University in Japan. The contributions address an abstract maximal regularity with applications to parabolic equations, stability, and bifurcation for viscous compressible Navier–Stokes equations, new estimates for a compressible Gross–Pitaevskii–Navier–Stokes system, singular limits for the Keller–Segel system in critical spaces, the dynamic programming principle for stochastic optimal control, two kinds of regularity machineries for elliptic obstacle problems, and new insight on topology of nodal sets of high-energy eigenfunctions of the Laplacian. This book aims to exhibit various theories and methods that appear in the study of nonlinear partial differential equations.

Nonlinear Partial Differential Equations

Nonlinear Partial Differential Equations PDF Author: Helge Holden
Publisher: Springer Science & Business Media
ISBN: 3642253601
Category : Mathematics
Languages : en
Pages : 369

Book Description
The topic of the 2010 Abel Symposium, hosted at the Norwegian Academy of Science and Letters, Oslo, was Nonlinear Partial Differential Equations, the study of which is of fundamental importance in mathematics and in almost all of natural sciences, economics, and engineering. This area of mathematics is currently in the midst of an unprecedented development worldwide. Differential equations are used to model phenomena of increasing complexity, and in areas that have traditionally been outside the realm of mathematics. New analytical tools and numerical methods are dramatically improving our understanding of nonlinear models. Nonlinearity gives rise to novel effects reflected in the appearance of shock waves, turbulence, material defects, etc., and offers challenging mathematical problems. On the other hand, new mathematical developments provide new insight in many applications. These proceedings present a selection of the latest exciting results by world leading researchers.

A Stability Technique for Evolution Partial Differential Equations

A Stability Technique for Evolution Partial Differential Equations PDF Author: Victor A. Galaktionov
Publisher: Springer Science & Business Media
ISBN: 1461220505
Category : Mathematics
Languages : en
Pages : 388

Book Description
* Introduces a state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equations. * Written by established mathematicians at the forefront of their field, this blend of delicate analysis and broad application is ideal for a course or seminar in asymptotic analysis and nonlinear PDEs. * Well-organized text with detailed index and bibliography, suitable as a course text or reference volume.

Seminar on Nonlinear Partial Differential Equations

Seminar on Nonlinear Partial Differential Equations PDF Author: S.S. Chern
Publisher: Springer Science & Business Media
ISBN: 1461211107
Category : Mathematics
Languages : en
Pages : 376

Book Description
When the Mathematical Sciences Research Institute was started in the Fall of 1982, one of the programs was "non-linear partial differential equations". A seminar was organized whose audience consisted of graduate students of the University and mature mathematicians who are not experts in the field. This volume contains 18 of these lectures. An effort is made to have an adequate Bibliography for further information. The Editor wishes to take this opportunity to thank all the speakers and the authors of the articles presented in this volume for their cooperation. S. S. Chern, Editor Table of Contents Geometrical and Analytical Questions Stuart S. Antman 1 in Nonlinear Elasticity An Introduction to Euler's Equations Alexandre J. Chorin 31 for an Incompressible Fluid Linearizing Flows and a Cohomology Phillip Griffiths 37 Interpretation of Lax Equations The Ricci Curvature Equation Richard Hamilton 47 A Walk Through Partial Differential Fritz John 73 Equations Remarks on Zero Viscosity Limit for Tosio Kato 85 Nonstationary Navier-Stokes Flows with Boundary Free Boundary Problems in Mechanics Joseph B. Keller 99 The Method of Partial Regularity as Robert V.

Seminar on Nonlinear Partial Differential Equations

Seminar on Nonlinear Partial Differential Equations PDF Author: S S Chern
Publisher:
ISBN: 9781461211112
Category :
Languages : en
Pages : 384

Book Description


Nonlinear Partial Differential Equations and Their Applications

Nonlinear Partial Differential Equations and Their Applications PDF Author: Doina Cioranescu
Publisher: Elsevier
ISBN: 0080537677
Category : Mathematics
Languages : en
Pages : 665

Book Description
This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions. It is the 14th and last of the series, due to the recent and untimely death of Professor Lions. The texts in this volume deal mostly with various aspects of the theory of nonlinear partial differential equations. They present both theoretical and applied results in many fields of growing importance such as Calculus of variations and optimal control, optimization, system theory and control, operations research, fluids and continuum mechanics, nonlinear dynamics, meteorology and climate, homogenization and material science, numerical analysis and scientific computations The book is of interest to everyone from postgraduate, who wishes to follow the most recent progress in these fields.

Numerical Continuation and Bifurcation in Nonlinear PDEs

Numerical Continuation and Bifurcation in Nonlinear PDEs PDF Author: Hannes Uecker
Publisher: SIAM
ISBN: 1611976618
Category : Mathematics
Languages : en
Pages : 380

Book Description
This book provides a hands-on approach to numerical continuation and bifurcation for nonlinear PDEs in 1D, 2D, and 3D. Partial differential equations (PDEs) are the main tool to describe spatially and temporally extended systems in nature. PDEs usually come with parameters, and the study of the parameter dependence of their solutions is an important task. Letting one parameter vary typically yields a branch of solutions, and at special parameter values, new branches may bifurcate. After a concise review of some analytical background and numerical methods, the author explains the free MATLAB package pde2path by using a large variety of examples with demo codes that can be easily adapted to the reader's given problem. Numerical Continuation and Bifurcation in Nonlinear PDEs will appeal to applied mathematicians and scientists from physics, chemistry, biology, and economics interested in the numerical solution of nonlinear PDEs, particularly the parameter dependence of solutions. It can be used as a supplemental text in courses on nonlinear PDEs and modeling and bifurcation.

Nonlinear Dispersive Equations

Nonlinear Dispersive Equations PDF Author: Terence Tao
Publisher: American Mathematical Soc.
ISBN: 0821841432
Category : Mathematics
Languages : en
Pages : 394

Book Description
"Starting only with a basic knowledge of graduate real analysis and Fourier analysis, the text first presents basic nonlinear tools such as the bootstrap method and perturbation theory in the simpler context of nonlinear ODE, then introduces the harmonic analysis and geometric tools used to control linear dispersive PDE. These methods are then combined to study four model nonlinear dispersive equations. Through extensive exercises, diagrams, and informal discussion, the book gives a rigorous theoretical treatment of the material, the real-world intuition and heuristics that underlie the subject, as well as mentioning connections with other areas of PDE, harmonic analysis, and dynamical systems.".

Nonlinear Partial Differential Equations and Related Analysis

Nonlinear Partial Differential Equations and Related Analysis PDF Author: Gui-Qiang Chen
Publisher: American Mathematical Soc.
ISBN: 0821835335
Category : Mathematics
Languages : en
Pages : 336

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.