How parabolic free boundaries approximate hyperbolic fronts


Gilding, Brian H. and Natalini, Roberto and Tesei, Alberto (1999) How parabolic free boundaries approximate hyperbolic fronts. Transactions of the American Mathematical Society, 352 (4). pp. 1797-1824. ISSN 0002-9947

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Abstract:A rather complete study of the existence and qualitative behaviour of the boundaries of the support of solutions of the Cauchy problem for nonlinear first-order and second-order scalar conservation laws is presented. Among other properties, it is shown that, under appropriate assumptions, parabolic interfaces converge to hyperbolic ones in the vanishing viscosity limit.
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Copyright:© 2000 American Mathematical Society
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Metis ID: 140536