Contemporary Mathematics 2005; 321 pp; softcover Volume: 371 ISBN10: 0821835335 ISBN13: 9780821835333 List Price: US$103 Member Price: US$82.40 Order Code: CONM/371
 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 wellknown 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, Navier Stokes 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 for image 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. Readership Graduate students and research mathematicians interested in partial differential equations. Table of Contents  M. Bendahmane and K. H. Karlsen  Uniqueness of entropy solutions for doubly nonlinear anisotropic degenerate parabolic equations
 A. Bertozzi, J. Greer, S. Osher, and K. Vixie  Nonlinear regularizations of TV based PDEs for image processing
 J. L. Bona and V. V. Varlamov  Wave generation by a moving boundary
 G.Q. Chen and K. Trivisa  Analysis on models for exothermically reacting, compressible flows with large discontinuous initial data
 P. Constantin  EulerianLagrangian hydrodynamic equations
 P. Degond, F. Méhats, and C. Ringhofer  Quantum hydrodynamic models derived from the entropy principle
 E. Feireisl  Mathematics of viscous, compressible, and heat conducting fluids
 A. Friedman  Symmetrybreaking bifurcations for free boundary problems
 J. Glimm, J. W. Grove, Y. Kang, T. Lee, X. Li, D. H. Sharp, K. Q. Ye, Y. Yu, and M. Zhao  Errors in numerical solutions of spherically symmetric shock physics problems
 P.E. Jabin and C. Klingenberg  Existence to solutions of a kinetic aerosol model
 J. W. Jerome  Functional analytic methods for evolution systems
 Y. Li  Stability of Riemann solutions with large oscillation for the Euler equations
 Z. Lin  Some recent results on instability of ideal plane flows
 A. Rousseau, R. Temam, and J. Tribbia  Boundary conditions for an ocean related system with a small parameter
 D. Serre  A remark on Y. Brenier's approach to BornInfeld electromagnetic fields
 R. Shvydkoy and S. Friedlander  On recent developments in the spectral problem for the linearized Euler equation
 K. Song  Transonic flow arising from 2D Riemann problems
 X. Wang  A note on longtime behavior of solutions to the Boussinesq system at large Prandtl number
