publication . Other literature type . Preprint . 2010

On degenerate partial differential equations

Name: On degenerate partial differential equations
Creator: Chen, Gui-Qiang G.

Chen, Gui-Qiang G.;

Open Access

Published: 15 May 2010 Journal: Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena (issn: 0271-4132, eissn: 1098-3627,

Publisher: American Mathematical Society

Summary
references
157

Abstract

Some of recent developments, including recent results, ideas, techniques, and approaches, in the study of degenerate partial differential equations are surveyed and analyzed. Several examples of nonlinear degenerate, even mixed, partial differential equations, are presented, which arise naturally in some longstanding, fundamental problems in fluid mechanics and differential geometry. The solution to these fundamental problems greatly requires a deep understanding of nonlinear degenerate partial differential equations. Our emphasis is on exploring and/or developing unified mathematical approaches, as well as new ideas and techniques. The potential approaches we h...

doi: 10.1090/conm/526/10377

Subjects

ACM Computing Classification System: ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONMathematicsofComputing_NUMERICALANALYSIS

free text keywords: Mathematics - Analysis of PDEs, Mathematical Physics, Mathematics - Differential Geometry

Related Organizations

Universidad del Norte
Paraguay

Funded by

NSF| Research on Nonlinear Partial Differential Equations in Conservation Laws and Related Applications, NSF| Conferences/Workshops on Partial Differential Equations and Related Analysis and Applications, NSF| Mathematical Problems in Nonlinear Conservation Laws and Related Applications

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