How parabolic free boundaries approximate hyperbolic fronts

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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.
Item Type:Article
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Link to this item:http://purl.utwente.nl/publications/70865
Official URL:http://www.jeomj.rmi.acnet.ge/memoirs/vol12/contents.htm
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