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Nonlinear partial differential equations and related analysis : the Emphasis Year 2002-2003 program on nonlinear partial differential equations and related analysis, September 2002-July 2003, Northwestern University, Evanston, Illinois / Gui-Qiang Chen, George Gasper, Joseph Jerome, editors.
- Format:
- Book
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 371.
- Contemporary mathematics, 0271-4132 ; 371
- Language:
- English
- Subjects (All):
- Nonlinear partial differential operators.
- Partial differential operators.
- Physical Description:
- 1 online resource (336 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2005]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Contents""; ""Preface""; ""Uniqueness of Entropy Solutions for Doubly Nonlinear Anisotropic Degenerate Parabolic Equations""; ""Nonlinear Regularizations of TV Based PDEs for Image Processing""; ""Wave Generation by a Moving Boundary""; ""Analysis on Models for Exothermically Reacting, Compressible Flows with Large Discontinuous Initial Data""; ""Eulerian-Lagrangian Hydrodynamic Equations""; ""Quantum Hydrodynamic Models Derived from the Entropy Principle""; ""Mathematics of Viscous, Compressible, and Heat Conducting Fluids""; ""Symmetry-Breaking Bifurcations for Free Boundary Problems""
- ""Errors in Numerical Solutions of Spherically Symmetric Shock Physics Problems""""Existence to Solutions of a Kinetic Aerosol Model""; ""Functional Analytic Methods for Evolution Systems""; ""Stability of Riemann Solutions with Large Oscillation for the Euler Equations""; ""Some Recent Results on Instability of Ideal Plane Flows""; ""Boundary Conditions for an Ocean Related System with Small Parameter""; ""A Remark on Y. Brenier's Approach to Born-Infeld Electro-Magnetic Fields""; ""On Recent Developments in the Spectral Problem for the Linearized Euler Equation""
- ""Transonic Flow Arising from 2-D Riemann Problems""""A Note on Long-Time Behavior of Solutions to the Boussinesq System at Large Prandtl Number""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7961-8
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