How parabolic free boundaries approximate hyperbolic fronts


Gilding, Brian H. and Natalini, Roberto and Tesei, Alberto (1997) How parabolic free boundaries approximate hyperbolic fronts. Memoirs on Differential Equations and Mathematical Physics, 12 . pp. 62-67. ISSN 1512-0015

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Abstract:Some recent results concerning existence and qualitative behaviour of the boundaries of the suppurts of solutions of the Cauchy problem for nonlinear first-order hyperbolic and second-order parabolic scalar conservation laws are discussed. 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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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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