On Degenerate Partial Differential Equations

Details On Degenerate Partial Differential Equations On Degenerate Partial Differential Equations

2010-05-15

arxiv.org/abs/1005.2713v1

Mathematics

Analysis of PDEs

Scientific paper

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 have identified and/or developed through these examples include kinetic approaches, free boundary approaches, weak convergence approaches, and related nonlinear ideas and techniques. We remark that most of the important problems for nonlinear degenerate partial differential equations are truly challenging and still widely open, which require further new ideas, techniques, and approaches, and deserve our special attention and further efforts.

Affiliated with

Also associated with

No associations

Rating

On Degenerate Partial Differential Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Degenerate Partial Differential Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Degenerate Partial Differential Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-671845