A system of two conservation laws with flux conditions and small viscosity

• Autorzy: Joseph K. T.
• Języki publikacji: EN

Abstrakty

EN

We construct explicit solutions of a system of two conservation laws with small viscosity in the quarter plane {(x, t): x > 0, t > 0}, with initial conditions at t = 0 and flux conditions at x = 0. We derive a formula for the limit as viscosity goes to zero which generally belongs to the space of locally bounded Borel measures. This limit satisfies the inviscid equation, in the sense of LeFloch [26]. We also treat more general initial and boundary datas and obtain solution in the algebra of generalized functions of Colombeau [9, 10].

Słowa kluczowe

EN

δ-waves; exact solutions with flux condition

PL

fale delta

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2009
• Tom: Vol. 15, nr 2
• Strony: 247--267
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Joseph K. T.

• School of Mathematics Tata Institute of Fundamental Research,

Bibliografia

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