A REMARK ON LARGE TIME ASYMTOTICS FOR SOLUTIONS OF A NONHOMOGENEOUS VISCOUS BURGERS EQUATION  

作　　者：Manas Ranjan SAHOO Satyanarayana ENGU Smriti TIWARI 

机构地区：[1]School of Mathematical Sciences,National Institute of Science Education and Research,An OCC of Homi Bhabha National Institute,Bhubaneswar,Khurda,Odisha,P.O.Jatni,752050,India [2]Department of Mathematics,National Institute of Technology,Warangal,Telangana,506004,India

出　　处：《Acta Mathematica Scientia》2023年第3期1323-1332,共10页数学物理学报（B辑英文版）

基　　金：S.Engu was supported by Council of Scientific and Industrial Research,India (File no. 25 (0302)/19/EMR-Ⅱ)。

摘　　要：The existence, uniqueness and regularity of solutions to the Cauchy problem posed for a nonhomogeneous viscous Burger's equation were shown in Chung, Kim and Slemrod [1] by assuming suitable conditions on initial data. Moreover, they derived the asymptotic behaviour of solutions of the Cauchy problem by imposing additional conditions on initial data. In this article, we obtain the same asymptotic behaviour of solutions to the Cauchy problem without imposing additional condition on initial data.

关 键 词：modified Bessel functions integral equation large time asymptotics convolution of functions 

分 类 号：O175.8[理学—数学]