Large Time Asymptotic Behavior Of Solutions To IBVP Of Non-isentropic P-equations With Nonlinear Damping

In this paper,we consider the large time asymptotic behavior of the solution to the initial boundary value problem of non-isentropic p-equations with nonlin-ear damping.Non-isentropic p-equations with nonlinear damping can be used to describe the motion modes of compressible fluid through porous media Type,with abundant physical meaning.Using the energy method and careful energy esti-mation,we proved the solution to the initial boundary value problem of the non-isentropic p-equations with nonlinear damping in a quarter of the plane,which con-verges asymptotically to the corresponding parabolic equation.In the Mathematical Journal of the Pan(Michigan Mathematical Journal,Compared with the results of 2001,49(49):519-540),our convergence results do not include(1+log(1+t))?1,?1>1/3 and(1+log(1+t))?2,?2>1/2 This article is arranged as follows:·In Chapter One,mainly introduces the research status of p-equations with non-linear and non-isentropic damping,and summarizes the main content,structure arrangement and preparation knowledge of this paper.·In Chapter Two,Research p-equations of the solution to the initial-boundary value problem for L? convergence rate,to prove the main theorem.