One-Dimensional Riemann Problem for Equations of Constant Pressure Fluid Dynamics with Measure Solutions by the Viscosity Method |
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| Authors: | Jiaxin Hu |
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| Affiliation: | (1) The Young Scientist Laboratory of Mathematical Physics, Wuhan Institute of Physics and Mathematics, Academia Sinica, P.O. Box 71007, Wuhan, 430071, P.R. China e-mail |
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| Abstract: | The Riemann problem for the equations of constant pressure fluid dynamics was considered. Solutions of this problem were constructed by employing the viscosity vanishing approach. For some initial data, solutions can be viewed as bounded functions in L (R × R+) plus bounded linear functionals on C0(R× R+) with nonclassical waves as their supports. Vacuum regions appear so that uniqueness of Riemann solutions fails for some initial data. |
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| Keywords: | Riemann problem viscosity method nonclassical wave |
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