... ProblemsReferences[1] J F. Coulombel and T. Goudon, The strong relaxation limit of the multidimensional isother-mal Euler equations,” Transactions of the American Mathematical Society, vol. 359, no. 2, ... 9Together with the inequalities (4.8)and(4.21), (4.2) follows immediately, which com-pletes the proof of Proposition 4.1.Proof of Theorem 1.1. In fact, Proposition 3.1 also holds on the framework ... equation as the limit of the isentropic Euler equations in one space dimension. Recently, Coulombel and Goudon[1] constructed the uniform smooth solutions to (1.1) in the multidimensional case...