In this paper the existence of global weak solutions for a 2×2 system of non-strictly hyperbolic non-linear conservation laws is established for data in L1.. The result is proven by means of viscous approximation and application of the com-. pensated compactness method.. The presence of a degeneracy in the hyperbolicity of the system requires a careful. analysis of the entropy functions, whose regularity is necessary to obtain an existence. result. For this purpose we combine the classical techniques referring to a singular Euler-Poisson-Darboux equation with the compensated compactness method.
Global existence to the Cauchy problem for hyperbolic conservation laws with an isolated umbilic point
RUBINO, BRUNO;SAMPALMIERI, ROSELLA COLOMBA
2013-01-01
Abstract
In this paper the existence of global weak solutions for a 2×2 system of non-strictly hyperbolic non-linear conservation laws is established for data in L1.. The result is proven by means of viscous approximation and application of the com-. pensated compactness method.. The presence of a degeneracy in the hyperbolicity of the system requires a careful. analysis of the entropy functions, whose regularity is necessary to obtain an existence. result. For this purpose we combine the classical techniques referring to a singular Euler-Poisson-Darboux equation with the compensated compactness method.File in questo prodotto:
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