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Nonlinear Partial Differential Equations
Nonlinear PDE Emphasis Year
March 1998 Northwestern University (Evanston, IL)
Editors: Gui-Qiang Chen, Emmanuele DiBenedetto
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). 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. |
Table of Contents
Click on a title to display or download that article in Postscript format. Public
domain and commercial PostScript viewers
are available. Articles are also available in PDF
format.
-
- Paolo Baiti, Philippe G. LeFloch and Benedetto Piccoli;
- Nonclassical shocks and the Cauchy
problem: Generalconservation laws
- Cont. Math 238 (1999), pp. 1-25.
- Luis A. Caffarelli;
- The Harnack inequality and
non-divergence equations
- Cont. Math 238 (1999), pp. 27-34.
- Gui-Qiang Chen and Hermano Frid;
- Vanishing viscosity limit for
initial-boundary value problems for conservation laws
- Cont. Math 238 (1999), pp. 35-51.
- Alexandre J. Chorin, Anton P. Kast, and Raz Kupferman;
- On the prediction of large-scale
dynamics using unresolved computations
- Cont. Math 238 (1999), pp. 53-75.
- Peter Constantin;
- Variational bounds in turbulent
convection
- Cont. Math 238 (1999), pp. 77-88.
- Bernard Dacorogna and Paolo Marcellini;
- On the solvability of implicit
nonlinear systems in the vectorial case
- Cont. Math 238 (1999), pp. 89-113.
- Constantine M. Dafermos;
- Genuinely nonlinear hyperbolic systems
of two conservation laws
- Cont. Math 238 (1999), pp. 115-126.
- Irene M. Gamba;
- Milne problem for strong force scaling
- Cont. Math 238 (1999), pp. 127-132.
- James Glimm, John W. Grove, X.~L. Li, and N. Zhao;
- Simple front tracking
- Cont. Math 238 (1999), pp. 133-149.
- Yan Guo and A. Shadi Tahvildar-Zadeh;
- Formation of singularities in
relativistic fluid dynamics and in spherically symmetric plasma dynamics
- Cont. Math 238 (1999), pp. 151-161.
- Corrado Lattanzio and Pierangelo Marcati;
- Asymptotic stability of plane diffusion
waves for the $2$-$D$ quasilinear wave equation
- Cont. Math 238 (1999), pp. 163-182.
- Tai-Ping Liu and Tong Yang;
- $L_1$ stability for systems of
hyperbolic conservation laws
- Cont. Math 238 (1999), pp. 183-192.
- Tian Ma and Shouhong Wang;
- The geometry of the stream lines of
steady states of the Navier-Stokes equations
- Cont. Math 238 (1999), pp. 193-202.
- Rolando Magnanini and Giorgio Talenti;
- On complex-valued solutions to a
$2$-$D$ eikonal equation, Part One: Qualitative properties
- Cont. Math 238 (1999), pp. 203-229.
- Uwe F. Mayer and Gieri Simonett;
- On diffusion-induced grain-boundary
motion
- Cont. Math 238 (1999), pp. 231-240.
- Mike O'Leary;
- Local estimates for solutions to
singular and degenerate quasilinear parabolic equations
- Cont. Math 238 (1999), pp. 241-249.
- Danping Peng, Stanley Osher, Barry Merriman, and Hong-Kai Zhao;
- The geometry of Wulff crystal shapes
and its relations with Riemann problems
- Cont. Math 238 (1999), pp. 251-303.
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