Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053775 | Applied Mathematics Letters | 2018 | 8 Pages |
Abstract
We prove well-posedness for a transport-diffusion problem coupled with a wave equation for the potential. We assume that the initial data are small. A bilinear form in the spirit of Kato's proof for the Navier-Stokes equations is used, coupled with suitable estimates in Chemin-Lerner spaces. In the one dimensional case, we get well-posedness for arbitrarily large initial data by using Gagliardo-Nirenberg inequalities.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Arnaud Heibig,