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...
| Egile Nagusiak: | , |
|---|---|
| Formatua: | Journal article |
| Hizkuntza: | English |
| Argitaratua: |
2001
|