Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations
Large-time behavior of periodic entropy solutions to anisotropic degenerate parabolic-hyperbolic equations
We are interested in the large-time behavior of periodic entropy solutions in $L^\infty$ to anisotropic degenerate parabolic-hyperbolic equations of second order. Unlike the pure hyperbolic case, the nonlinear equation is no longer self-similar invariant, and the diffusion term in the equation significantly affects the large-time behavior of solutions; thus the …