On the Riemann Problem for a Combustion Model
Copyright policy )On the Riemann Problem for a Combustion Model
Summary: This paper studies the Riemann problem for a combustion model and proves that the solution exists globally and the solution converges uniformly, away from the shock, to a travelling wave solution as \(t\to +\infty\). The results are obtained by using the method of characteristics, a maximum principle and that of the equation is a nonlinear conservation law.
Hyperbolic conservation laws, Asymptotic behavior of solutions to PDEs, Supersonic flows, Combustion, travelling wave solution, Shock waves and blast waves in fluid mechanics, Riemann problem, Maximum principles in context of PDEs, Shocks and singularities for hyperbolic equations
Hyperbolic conservation laws, Asymptotic behavior of solutions to PDEs, Supersonic flows, Combustion, travelling wave solution, Shock waves and blast waves in fluid mechanics, Riemann problem, Maximum principles in context of PDEs, Shocks and singularities for hyperbolic equations
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