Global existence of diffusive-dispersive traveling waves for general flux functions |
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| Authors: | Mai Duc Thanh |
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| Affiliation: | Department of Mathematics, International University, Quarter 6, Linh Trung Ward, Thu Duc District, Ho Chi Minh City, Viet Nam |
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| Abstract: | We establish a global existence of traveling waves for diffusive-dispersive conservation laws for locally Lipschitz flux functions. Using Lyapunov stability techniques, we reduce the global problem of finding traveling waves to considering local behaviors of a stable trajectory of the saddle point. |
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| Keywords: | 35L65 76N10 76L05 |
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