Two-dimension Riemann initial-boundary value problem of scalar conservation laws with curved boundary.

Chen, Huazhou; Pan, Tao

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Displaying similar documents to “Two-dimension Riemann initial-boundary value problem of scalar conservation laws with curved boundary.”

The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section

Dietmar Kröner, Philippe G. LeFloch, Mai-Duc Thanh (2008)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider the Euler equations for compressible fluids in a nozzle whose cross-section is variable and may contain discontinuities. We view these equations as a hyperbolic system in nonconservative form and investigate weak solutions in the sense of Dal Maso, LeFloch and Murat [ (1995) 483–548]. Observing that the entropy equality has a fully conservative form, we derive a minimum entropy principle satisfied by entropy solutions. We then establish the stability of a...

Wave front tracking in systems of conservation laws

Rinaldo M. Colombo (2004)

Applications of Mathematics

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This paper contains several recent results about nonlinear systems of hyperbolic conservation laws obtained through the technique of Wave Front Tracking.

Nonclassical Riemann solvers and kinetic relations III: A nonconvex hyperbolic model for Van der Waals fluids.

LeFloch, Philippe G., Mai Duc Thanh (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Conservation laws. II: Weak solutions.

Tao, Ming, Cheng, Zhixin, Yan, Jin (2007)

Revista Colombiana de Matemáticas

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