Geodesic
A Riemann problem with small viscosity and dispersion
Electronic Journal of Differential Equations, Tome 2006 (2006).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we prove existence of global solutions to a hyperbolic system in elastodynamics, with small viscosity and dispersion terms and derive estimates uniform in the viscosity-dispersion parameters. By passing to the limit, we prove the existence of solution the Riemann problem for the hyperbolic system with arbitrary Riemann data.
Classification : 35B40, 35L65
Keywords: elastodynamics equation, viscosity, dispersion, Riemann problem 
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     author = {Joseph, Kayyunnapara Thomas},
     title = {A {Riemann} problem with small viscosity and dispersion},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2006},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a117/}
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Joseph, Kayyunnapara Thomas. A Riemann problem with small viscosity and dispersion. Electronic Journal of Differential Equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a117/