﻿ 混合气体Euler方程解的整体存在性及大时间行为

# 混合气体Euler方程解的整体存在性及大时间行为The Global Existence and Large Time Behavior of the Solution of Euler Equation of Mixed Gas

Abstract: In this paper, the global existence and large time behavior problem of three gases of Euler equation in the small initial value are studied. The main content of this chapter is the proof of theorem 1.1. First of all, we first give a lemma 3.1 for a sufficiently small. Using the Hölder inequality, Young inequality and other calculation methods, the derivative of unknown function with respect to x is estimated using the derivative of with respect to time t. Then, standard energy estimation method is used to estimate the concentration of flux . Finally, by constructing the and function equivalent, we prove meets uniformly bounded and exponential decay rate, so as to get is uniformly bounded and exponential decay rate.

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