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| Generalized Tricomi Problem for a Quasilinear Mixed Type Equation |
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Citation： |
Shuxing CHEN.Generalized Tricomi Problem for a Quasilinear Mixed Type Equation[J].Chinese Annals of Mathematics B,2009,30(5):527~538 |
| Page view： 1717
Net amount： 1247 |
Authors： |
Shuxing CHEN; |
Foundation： |
the National Natural Science Foundation of China (No. 10531020), the National Basic
Research Program of China (No. 2006CB805902), the Doctorial Program Foundation of the Ministry of
Education of China and the Science and Technology Commission of Shanghai Municipality. |
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| Abstract： |
In this paper, the Tricomi problem and the generalized Tricomi problem for a
quasilinear mixed type equation are studied. The coefficients of the mixed type equation
are discontinuous on the line, where the equation changes its type. The existence of solution
to these problems is proved. The method developed in this paper can be used to study
more difficult problems for nonlinear mixed type equations arising in gas dynamics. |
Keywords： |
Mixed type equation, Tricomi problem, Mach configuration |
Classification： |
35M10 |
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