Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222115 | Nonlinear Analysis: Real World Applications | 2018 | 21 Pages |
Abstract
We present in this work existence results for various types of diffusive-dispersive traveling waves associated with shock waves with the same shock speed in van der Waals fluids. For any shock satisfies a single entropy inequality, there exist corresponding traveling waves with suitable choices of viscosity and capillarity coefficients. The shock may be a classical shock, a nonclassical shock satisfying Lax's shock inequalities, or a nonclassical shock violating Lax's shock inequalities. Therefore, shock waves satisfying a single entropy inequality are also admissible under the criterion of vanishing viscosity/capillarity effects.
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Authors
Nguyen Huu Hiep, Mai Duc Thanh, Nguyen Dinh Huy,