MULTI-DIMENSIONAL SCALAR CONSERVATION LAWS WITH FLUXES DISCONTINUOUS IN THE UNKNOWN AND THE SPATIAL VARIABLE
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Publication:4909168
DOI10.1142/S0218202512500510zbMath1270.35307MaRDI QIDQ4909168
Agnieszka Świerczewska-Gwiazda, Miroslav Bulíček, Piotr Gwiazda
Publication date: 12 March 2013
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Hyperbolic conservation laws (35L65) PDEs with low regular coefficients and/or low regular data (35R05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for first-order hyperbolic systems (35L45) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (8)
A splitting algorithm for LWR traffic models with flux discontinuous in the unknown ⋮ On unified theory for scalar conservation laws with fluxes and sources discontinuous with respect to the unknown ⋮ Entropy conditions for scalar conservation laws with discontinuous flux revisited ⋮ On entropy solutions of scalar conservation laws with discontinuous flux ⋮ Multi-dimensional scalar balance laws with discontinuous flux ⋮ Relative entropy method for measure-valued solutions in natural sciences ⋮ A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function ⋮ Vanishing Viscosity and Backward Euler Approximations for Conservation Laws with Discontinuous Flux
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