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A class of hyperbolic conservation laws of Generalized Riemann Problems Research

Author: ZengHui
Tutor: ZhangKaiJun
School: Northeast Normal University
Course: Operational Research and Cybernetics
Keywords: Hyperbolic equations Conservation law Generalized Riemann problem Global solution
CLC: O175.27
Type: Master's thesis
Year: 2009
Downloads: 130
Quote: 0
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Abstract


Partial differential equations is people to explore the nature of the phenomenon and the change rule is an important method and the hyperbolic conservation law equation is a partial differential equation is an important part of it in fluid mechanics, aerodynamics, aerospace, combustion theory, the nonlinear elastic theory, etc all have important applications. In this article, consider a class of hyperbolic conservation law equation the generalized Riemann problem, summarizes the mathematics workers on the existence of the solutions to get some of the major conclusions. First of all, we introduced the background of the hyperbolic conservation law equation the generalized Riemann problem, development process and present situation; And then we expounded several cases to the global existence theorem of solution; Then we introduced the theorem of the hyperbolic conservation law of the generalized Riemann problem by using some of the major mathematical method; Finally, we further discussed the hyperbolic conservation law equation the generalized Riemann problem to be solved in a couple of questions.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations > Hyperbolic equations
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