Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589983 | Journal of Functional Analysis | 2014 | 54 Pages |
Abstract
This article is an attempt to complement some recent developments on conservation laws with stochastic forcing. In a pioneering development, Feng and Nualart [8] have developed the entropy solution theory for such problems and the presence of stochastic forcing necessitates introduction of strong entropy condition. However, the authors' formulation of entropy inequalities are weak-in-space but strong-in-time. In the absence of a priori path continuity for the solutions, we take a critical outlook towards this formulation and offer an entropy formulation which is weak-in-time and weak-in-space.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Imran H. Biswas, Ananta K. Majee,