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...
| Main Authors: | , |
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| 格式: | Journal article |
| 语言: | English |
| 出版: |
2001
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