Geodesic
A Riemann problem with small viscosity and dispersion
Electronic journal of differential equations, Tome 2006 (2006)
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 
@article{EJDE_2006__2006__a17,
     author = {Joseph,  Kayyunnapara Thomas},
     title = {A {Riemann} problem with small viscosity and dispersion},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1112.35121},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a17/}
}
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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__a17/