Solvability of a problem for transonic flow with a local supersonic region

DOI10.1007/PL00001450zbMath0980.35136OpenAlexW1970664879MaRDI QIDQ5943658

Alexander Kuz'min

Publication date: 2001

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00001450

zbMATH Keywords

existenceuniquenessa priori estimatesvon Kármán equationsmooth solutionFredholm alternativenonlinear perturbationdamping conditionlocal supersonic regionstransonic channel flows

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Transonic flows (76H05) PDEs of mixed type (35M10)

Related Items (11)

GLOBAL MULTIDIMENSIONAL SHOCK WAVE FOR THE STEADY SUPERSONIC FLOW PAST A THREE-DIMENSIONAL CURVED CONE ⋮ Global supersonic conic shock wave for the steady supersonic flow past a cone: Polytropic gas ⋮ On a Supersonic-Sonic Patch in the Three-Dimensional Steady Axisymmetric Transonic Flows ⋮ A modified Frankl-Morawetz problem on a transonic flow past an airfoil ⋮ Semi-hyperbolic patch characterized by 2D steady relativistic Euler equations ⋮ Existence and regularity of solutions of a supersonic-sonic patch arising in axisymmetric relativistic transonic flow with general equation of state ⋮ Global transonic conic shock wave for the symmetrically perturbed supersonic flow past a cone ⋮ Solvability of a boundary-value problem for transonic flow in a nozzle ⋮ Instability of one global transonic shock wave for the steady supersonic Euler flow past a sharp cone ⋮ On a supersonic-sonic patch arising from the Frankl problem in transonic flows ⋮ Sonic-supersonic Solutions to a Mixed-type Boundary Value Problem for the Two-Dimensional Full Euler Equations

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