The entropy solution of a hyperbolic-parabolic mixed type equation.
The entropy solution of the equation [Formula: see text]is considered. Besides the usual initial value, only a partial boundary value is imposed. By choosing some special test functions, the stability of the solutions is obtained by Kruzkov's bi-variables method, provided that [Formula: see text] is an unitn-dimensional cube or the half space.
School of Applied Mathematics, Xiamen University of Technology, Xiamen, 361024 China.
Huashui
H
Zhan
Entropy solution; Hyperbolic-parabolic mixed type equation; Kruzkov’s bi-variables method; [Formula: see text]dimensional cube