Geodesic
Global solution to a Hopf equation and its application to non-strictly hyperbolic systems of conservation laws
Electronic journal of differential equations, Tome 2007 (2007)
From a Hopf equation we develop a recently introduced technique, the weak asymptotic method, for describing the shock wave formation and the interaction processes. Then, this technique is applied to a system of conservation laws arising from pressureless gas dynamics. As an example, we study the shock wave formation process in a two-dimensional scalar conservation laws arising in oil reservoir problems.
Classification : 35L65
Keywords: weak asymptotic method, Hopf equation, shock wave formation, pressureless gas dynamics, system of conservation laws, multidimensional shocks 
@article{EJDE_2007__2007__a254,
     author = {Mitrovic,  Darko and Susic,  Jela},
     title = {Global solution to a {Hopf} equation and its application to non-strictly hyperbolic systems of conservation laws},
     journal = {Electronic journal of differential equations},
     year = {2007},
     volume = {2007},
     zbl = {1138.35367},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a254/}
}
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AU  - Susic,  Jela
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VL  - 2007
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%A Susic,  Jela
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%J Electronic journal of differential equations
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%V 2007
%U http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a254/
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%F EJDE_2007__2007__a254
Mitrovic,  Darko; Susic,  Jela. Global solution to a Hopf equation and its application to non-strictly hyperbolic systems of conservation laws. Electronic journal of differential equations, Tome 2007 (2007). http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a254/