Overview

This volume is a collection of original research papers and expository articles stemming from the scientific program of the Nonlinear PDE Emphasis Year held at Northwestern University (Evanston, IL) in March 1998. The book offers a cross-section of the most significant recent advances and current trends and directions in nonlinear partial differential equations and related topics. The book's contributions offer two perspectives. There are papers on general analytical treatment of the theory and papers on computational methods and applications originating from significant realistic mathematical models of natural phenomena. Also included are articles that bridge the gap between these two perspectives, seeking synergistic links between theory and modeling and computation. The volume offers direct insight into recent trends in PDEs. This volume is also available on the Web. Those who purchase the print edition can gain free access by going to www ams.org/conm/.

Full Product Details

Author:   American Mathematical Society ,  Emmanuele DiBenedetto
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 238
Weight:   0.567kg
ISBN:  

9780821811962

ISBN 10:   0821811967
Pages:   320
Publication Date:   30 October 1999
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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Table of Contents

Nonclassical shocks and the Cauchy problem: General conservation laws by P. Baiti, P. G. LeFloch, and B. Piccoli The Harnack inequality and non-divergence equations by L. A. Caffarelli Vanishing viscosity limit for initial-boundary value problems for conservation laws by G.-Q. Chen and H. Frid On the prediction of large-scale dynamics using unresolved computations by A. J. Chorin, A. P. Kast, and R. Kupferman Variational bounds in turbulent convection by P. Constantin On the solvability of implicit nonlinear systems in the vectorial case by B. Dacorogna and P. Marcellini Genuinely nonlinear hyperbolic systems of two conservation laws by C. M. Dafermos Milne problem for strong force scaling by I. M. Gamba Simple front tracking by J. Glimm, J. W. Grove, X. L. Li, and N. Zhao Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics by Y. Guo and A. S. Tahvildar-Zadeh Asymptotic stability of plane diffusion waves for the $2$-$D$ quasilinear wave equation by C. Lattanzio and P. Marcati $L_1$ stability for systems of hyperbolic conservation laws by T.-P. Liu and T. Yang The geometry of the stream lines of steady states of the Navier-Stokes equations by T. Ma and S. Wang On complex-valued solutions to a 2D eikonal equation. Part one: Qualitative properties by R. Magnanini and G. Talenti On diffusion-induced grain-boundary motion by U. F. Mayer and G. Simonett Local estimates for solutions to singular and degenerate quasilinear parabolic equations by M. O'Leary The geometry of Wulff crystal shapes and its relations with Riemann problems by D. Peng, S. Osher, B. Merriman, and H.-K. Zhao.

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