带阻尼项一维非等熵流方程组初边值问题解的收敛速度

带阻尼项一维非等熵流方程组初边值问题解的收敛速度 Convergence Rates of Solutions to Initial Boundary Value Problem for One Dimensional Nonisentropic Gas Dynamics System With Damping 金宗成 KIM Jong sung 1 first-author 王维克 WANG Wei ke 1 武汉大学数学与统计学院,湖北,武汉,430072 武汉大学数学与统计学院,湖北,武汉,430072 School of Mathematics and Statistics, Wuhan University School of Mathematics and Statistics, Wuhan University 研究了带阻尼项一维非等熵流方程组的初边值问题 ,利用能量估计的办法证明了整体解的存在性和得到在 L2 -模及 L∞ -模意义下解的大时间状态稳定性估计 We study convergence rates of solutions to with initial bounday value problem for one dimensional nonisentropic gas dynamics system with damping. By the energy method, we obtain the global smooth resolvability and the large time convergence rates of solutions in L 2 and L ∞ norms. 阻尼 非等熵流方程组 大时间状态 收敛速度 damping nonisentropic gas dynamics large time behavior convergence rates O175.27 国家自然科学基金资助项目 （ 198710 65 ） 2001-03-01 2021-04-01 3