Boundary Value Problems
Volume 2007 (2007), Article ID 56945, 10 pages
doi:10.1155/2007/56945
A note on the relaxation-time limit of the isothermal Euler equations
Jiang Xu1
and Daoyuan Fang2
1Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2Department of Mathematics, Zhejiang University, Hangzhou 310027, China
Abstract
This work is concerned with the relaxation-time limit of the multidimensional isothermal Euler equations with relaxation. We show that Coulombel-Goudon's results (2007) can hold in the weaker and more general Sobolev space of fractional order. The method of proof used is the Littlewood-Paley decomposition.