Kinetic decomposition for singularly perturbed higher order partial differential equations |
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Authors: | Seok Hwang |
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Institution: | Department of Mathematics, University of Southern California, 1042 W. Downey Way, Los Angeles, CA 90089, USA |
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Abstract: | In this paper, we consider singularly perturbed higher order partial differential equations. We establish the condition under which the approximate solutions converge in a strong topology to the entropy solution of a scalar conservation laws using methodology developed in Hwang and Tzavaras (Comm. Partial Differential Equations 27 (2002) 1229). First, we obtain the approximate transport equation for the given dispersive equations. Then using the averaging lemma, we obtain the convergence. |
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Keywords: | Hyperbolic conservation laws Singularly perturbed higher order partial differential equations Kinetic formulation Averaging lemmas |
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