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| The Brio System with Initial Conditions Involving DiracMasses: A Result Afforded by a Distributional Product |
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Citation： |
C. O. R. SARRICO.The Brio System with Initial Conditions Involving DiracMasses: A Result Afforded by a Distributional Product[J].Chinese Annals of Mathematics B,2014,35(6):941~954 |
| Page view： 1306
Net amount： 1001 |
Authors： |
C. O. R. SARRICO; |
Foundation： |
FCT, PEst-OE/MAT/UI0209/2013. |
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| Abstract： |
The Brio system is a 2 × 2 fully nonlinear system of conservation laws which
arises as a simplified model in the study of plasmas. The present paper offers explicit solutions
to this system subjected to initial conditions containing Dirac masses. The concept
of a solution emerges within the framework of a distributional product and represents a
consistent extension of the concept of a classical solution. Among other features, the result
shows that the space of measures is not sufficient to contain all solutions of this problem. |
Keywords： |
Products of distributions, Brio’s system, δ-Shock waves, δ'-Shock waves,
Riemann problem |
Classification： |
46F10, 35D |
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