Nonlinear asymptotic stability of non-self-similar rarefaction wave for two-dimensional viscous Burgers equation

Feimin Huang, Guiqin Qiu, Yi Wang +1

We investigate the large time behavior of solutions to the two-dimensional viscous Burgers equation $u_t+u{u}_x+u{u}_y=\hat{I}”u$, toward a non-self-similar rarefaction wave of inviscid Burg…