Geodesic
Weak asymptotic solution for a non-strictly hyperbolic system of conservation laws
Electronic journal of differential equations, Tome 2015 (2015)
In this article, we construct the weak asymptotic solution developed by Panov and Shelkovich for piecewise known solutions to a prolonged system of conservation laws. This is done by introducing four singular waves along a discontinuity curve, which in turn implies the existence of weak asymptotic solutions for the Riemann type initial data. By piecing together the Riemann problems, we construct weak asymptotic solution for general type initial data.
Classification : 35A20, 35F25, 35R05
Keywords: system of pdes, initial conditions, weak asymptotic solutions 
@article{EJDE_2015__2015__a1,
     author = {Singh,  Harendra and Sahoo,  Manas Ranjan and Singh,  Om Prakash},
     title = {Weak asymptotic solution for a non-strictly hyperbolic system of conservation laws},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1315.35123},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a1/}
}
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Singh,  Harendra; Sahoo,  Manas Ranjan; Singh,  Om Prakash. Weak asymptotic solution for a non-strictly hyperbolic system of conservation laws. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a1/