An Interesting Class of Partial Differential Equations

Details An Interesting Class of Partial Differential Equations An Interesting Class of Partial Differential Equations

2007-07-25

arxiv.org/abs/0707.3708v2

Physics

Mathematical Physics

Scientific paper

This paper presents an observation that under reasonable conditions, many partial differential equations from mathematical physics possess three structural properties. One of them can be understand as a variant of the celebrated Onsager reciprocal relation in Modern Thermodynamics. It displays a direct relation of irreversible processes to the entropy change. We show that the properties imply various entropy dissipation conditions for hyperbolic relaxation problems. As an application of the observation, we propose an approximation method to solve relaxation problems. Moreover, the observation is interpreted physically and verified with eight (sets of) systems from different fields.

Affiliated with

Also associated with

No associations

Rating

An Interesting Class of 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 An Interesting Class of Partial Differential Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Interesting Class of Partial Differential Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-547005