Stability of entropy solutions to the Cauchy problem for a class of nonlinear hyperbolic-parabolic equations

Stability of entropy solutions to the Cauchy problem for a class of nonlinear hyperbolic-parabolic equations

Consider the Cauchy problem for the nonlinear hyperbolic-parabolic equation: ut + 1/2a · ∇xu2 = Δu+ for t > 0, where a is a constant vector and u+ = max{u, 0}. The equation is hyperbolic in the region [u < 0] and parabolic in the region [u > 0]. It is shown that entropy solution...

Полное описание

Библиографические подробности
Главные авторы:	Chen, G, Dibenedetto, E
Формат:	Journal article
Язык:	English
Опубликовано:	2001

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