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).

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

Summary: 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__a154,
     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},
     publisher = {mathdoc},
     volume = {2007},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2007__2007__a154/}
}
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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__a154/