Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899588 | Journal of Mathematical Analysis and Applications | 2018 | 15 Pages |
Abstract
We introduce a new concept of weak solution for the conservative stochastic Burgers equation in any dimension. The definition is based on weak solution concepts introduced by various authors in order to make sense of equations which do not have solutions in the sense of distributions. In one dimension the solution reduces to the classical distributional solution of the 1-D stochastic Burgers equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
P. Catuogno, J.F. Colombeau, C. Olivera,