Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6892245 | Computers & Mathematics with Applications | 2018 | 16 Pages |
Abstract
In this paper we consider the first order evolutionary inclusions with nonlinear weakly continuous operators and a multivalued term which involves the Clarke subgradient of a locally Lipschitz function. First, we provide a surjectivity result for stationary inclusion with weakly-weakly upper semicontinuous multifunction. Then, we use this result to prove the existence of solutions to the Rothe sequence and the evolutionary subgradient inclusion. Finally, we apply our results to the non-stationary Navier-Stokes equation with nonmonotone and multivalued frictional boundary conditions.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Biao Zeng, StanisÅaw Migórski,