A Localized Approximation Method for Vortical Flows
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Publication:3197528
DOI10.1137/0150089zbMath0712.76026OpenAlexW1989310887MaRDI QIDQ3197528
Michael Siegel, Oscar Orellana, Russel E. Caflisch
Publication date: 1990
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0150089
Kelvin-Helmholtz instabilityapproximation methodvortex sheetstratified flowperiodic vortex sheetstwo-dimensional, incompressible, inviscid flows
PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Reaction effects in flows (76V05) Parallel shear flows in hydrodynamic stability (76E05)
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Unnamed Item ⋮ The Muskat problem with 𝐶¹ data ⋮ Existence and uniqueness of analytic solution for Rayleigh-Taylor problem ⋮ Regularity for a special case of two-phase Hele-Shaw flow via parabolic integro-differential equations ⋮ On the interface dynamics for convection in porous media ⋮ Wave collapse in plasmas and fluids ⋮ On the Cauchy problem for the Muskat equation. II: Critical initial data ⋮ Poles and branch cuts in free surface hydrodynamics ⋮ Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion ⋮ On the Cauchy problem for the Muskat equation with non-Lipschitz initial data ⋮ Singularity formation during Rayleigh–Taylor instability ⋮ Singularity formation for complex solutions of the 3D incompressible Euler equations ⋮ On the Two‐Dimensional Muskat Problem with Monotone Large Initial Data ⋮ Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem
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