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# The initial value problem for the compressible Navier-Stokes equations without heat conductivity

2018/11/08 09:36  点击：[]

:2018年 11月9日 上午9:00--10:00

:理科楼LD202

:In this paper, we are concerned with the global existence and convergence rates of strong solutions for the compressible Navier-Stokes equations without heat conductivity in $\mathbb R^3$. The global existence and uniqueness of strong solutions are established by the delicate energy method under the condition that the initial data are close to the constant equilibrium state in $H^2$-framework. Furthermore, if additionally the initial data belong to $L^p$ with $1\leq p<\frac{6}{5}$, the optimal convergence rates of the solutions in $L^q$-norm with $2 \leq q\leq 6$ and optimal convergence rates of their spatial derivatives in $L^2$-norm are obtained.