@Article{JPDE-29-71, author = {Liu , ChundiLi , Yong and Wang , Shu}, title = {Asymptotic Behavior of the Solution to a 3-D Simplified Energy-Transport Model for Semiconductors}, journal = {Journal of Partial Differential Equations}, year = {2016}, volume = {29}, number = {1}, pages = {71--88}, abstract = { The well-posedness of smooth solution to a 3-Dsimplified Energy-Transport model is discussed in this paper. We prove the local existence, uniqueness, and asymptotic behavior of solution to the equations with hybrid cross-diffusion. The smooth solution convergences to a stationary solution with an exponential rate as time tends to infinity when the initial date is a small perturbation of the stationary solution.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v29.n1.7}, url = {http://global-sci.org/intro/article_detail/jpde/5080.html} }