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https://open.uns.ac.rs/handle/123456789/4819
Title: | Discrete shock profiles for scalar conservation laws with discontinuous fluxes | Authors: | Krunić, Momčilo Nedeljković, Milena |
Issue Date: | 1-Mar-2016 | Journal: | Journal of Mathematical Analysis and Applications | Abstract: | © 2015 Elsevier Inc. The paper considers a scalar conservation law with a discontinuous flux F of the form F(x, u) = H(x)g(u) + (1 - H( x)) h(u) where H(x) is the Heaviside function. Herein, the fluxes g and h are supposed to have one minimum and no maximum and at most one crossing in the interior of the domain of definition. The aim is to verify a weak solution of such a problem in the following way: We are looking for discrete shock profiles for its continuously differentiable perturbation with a parameter ε and Godunov's scheme for conservation laws with spatially varying flux functions. The obtained discrete shock profile satisfies a discrete entropy condition of Kruzkhov type and after letting ε→0, approaches an entropy weak solution of the original equation. | URI: | https://open.uns.ac.rs/handle/123456789/4819 | ISSN: | 0022247X | DOI: | 10.1016/j.jmaa.2015.10.064 |
Appears in Collections: | FTN Publikacije/Publications |
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