Ho Dac Nghia, Mai Duc Thanh
Abstract:
We consider the Riemann problem for non-genuinely nonlinear
conservation laws where the flux function admits two inflection
points. This is a simplification of van der Waals fluid pressure,
which can be seen as a function of the specific volume for a
specific entropy at which the system lacks the non-genuine
nonlinearity. Corresponding to each inflection point, A
nonclassical Riemann solver can be uniquely constructed.
Furthermore, two kinetic relations can be used to construct
nonclassical Riemann solutions.
Submitted September 7, 2006. Published December 5, 2006.
Math Subject Classifications: 35L65, 76N10, 76L05.
Key Words: Conservation law; non-genuine nonlinearity;
nonclassical solution; kinetic relation.
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Ho Dac Nghia Horizon International Bilingual School 02 Luong Huu hanh, Pham Ngu Lao Ward District 1, Ho Chi Minh City, Vietnam email: dacnghia@yahoo.com |
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Mai Duc Thanh Department of Mathematics International University, Quarter 6 Linh Trung Ward, Thu Duc District Ho Chi Minh City, Vietnam email: mdthanh@hcmiu.edu.vn |
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