publication . Other literature type . Preprint . 2010

On degenerate partial differential equations

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, Copyright policy)
  • Publisher: American Mathematical Society
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...
Subjects
ACM Computing Classification System: ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONMathematicsofComputing_NUMERICALANALYSIS
free text keywords: Mathematics - Analysis of PDEs, Mathematical Physics, Mathematics - Differential Geometry
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NSF| Research on Nonlinear Partial Differential Equations in Conservation Laws and Related Applications
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0807551
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Mathematical Sciences
,
NSF| Conferences/Workshops on Partial Differential Equations and Related Analysis and Applications
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0935967
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Mathematical Sciences
,
NSF| Mathematical Problems in Nonlinear Conservation Laws and Related Applications
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0505473
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Mathematical Sciences
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publication . Other literature type . Preprint . 2010

On degenerate partial differential equations

Chen, Gui-Qiang G.;