Quarterly of Applied Mathematics · 2010 · 38 citations · 38 references
Natural SciencesMathematicsComputational Fluid DynamicsDifferential EquationsFluid DynamicsBoundary ConditionsContinuity EquationNavier-stokes EquationsPartial Differential EquationsSystems Of Differential EquationsTransonic AerodynamicsGas DynamicsNonlinear Partial Differential EquationsParabolic Partial Differential EquationsTransonic FlowTransonic Flow SimulationTransonic Unsteady FlowsTransport EquationsViscous Transonic Flow
The paper is mainly concerned with mixed type partial differential equations and their connections with transonic flow. Some typical problems in gas dynamics related to the mixed type equations are presented and analyzed. In the meantime, the crucial points on the study of these problems, including some recent developments and new approaches, are introduced.
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Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1959 · 3.8K citations
Natural Sciences, Mechanical Engineering, Differential Equations +10
Hyperbolic systems of conservation laws II
Peter D. Lax · Communications on Pure and Applied Mathematics · 1957 · 2.9K citations
Supersonic Flow and Shock Waves
M. J. Lighthill · Nature · 1949 · 2.2K citations · Full text