Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772365 | Journal of Functional Analysis | 2017 | 33 Pages |
Abstract
The authors derive a general diffusion (GD) system with nonlocal interactions of special structure via energetic variational approach and observe that there exist two critical values of s, i.e. s=12,1, for the nonlocal interactions, where s=12 reflects how strong nonlocal property we have and s=1 affects the linearization and choice of initial data spaces. The authors also establish the global existence and uniqueness of mild solution.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Chao Deng, Chun Liu,