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New entropy conditions for scalar conservation laws with discontinuous flux
New entropy conditions scalar conservation laws discontinuous flux
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2010/11/23
We propose new Kruzhkov type entropy conditions for one dimensional scalar conservation law with a discontinuous flux. We prove existence and uniqueness of the entropy admissible weak solution to the ...
ERROR BOUNDS FOR GLIMM DIFFERENCE APPROXIMATIONS FOR SCALAR CONSERVATION LAWS WITHOUT CONVEXITY
error bounds Glimm's scheme non-convexity
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2007/12/12
In last century, D. Hoff and J. Smoller derived the error bounds for the Glimm difference approximations of the solutions to scalar conservation laws with convexity. Our work is to extend the correspo...