Global continuous solutions to diagonalizable hyperbolic systems with large and monotone data

Details Global continuous solutions to diagonalizable hyperbolic systems with large and monotone data Global continuous solutions to diagonalizable hyperbolic systems with large and monotone data

2008-04-25

arxiv.org/abs/0804.4137v1

Physics

Mathematical Physics

Scientific paper

In this paper, we study diagonalizable hyperbolic systems in one space dimension. Based on a new gradient entropy estimate, we prove the global existence of a continuous solution, for large and nondecreasing initial data. Moreover, we show in particular cases some uniqueness results. We also remark that these results cover the case of systems which are hyperbolic but not strictly hyperbolic. Physically, this kind of diagonalizable hyperbolic systems appears naturally in the modelling of the dynamics of dislocation densities.

Affiliated with

Also associated with

No associations

Rating

Global continuous solutions to diagonalizable hyperbolic systems with large and monotone data 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 Global continuous solutions to diagonalizable hyperbolic systems with large and monotone data, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global continuous solutions to diagonalizable hyperbolic systems with large and monotone data will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-728183