Solvability in Hölder spaces of a model initial-boundary value problem generated by a problem on the motion of two fluids

DOI10.1007/BF02149145zbMath0835.35108OpenAlexW1977284998WikidataQ114395630 ScholiaQ114395630MaRDI QIDQ1190943

Vsevolod A. Solonnikov, Irina V. Denisova

Publication date: 27 September 1992

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02149145

zbMATH Keywords

initial-boundary value problemsurface tensionfree surfaceexistence of unique solutionunsteady motion of two fluids

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Navier-Stokes equations (35Q30) PDEs with low regular coefficients and/or low regular data (35R05) Free boundary problems for PDEs (35R35)

Related Items (6)

Global Solvability of the Problem on Two-Phase Capillary Fluid Motion in the Oberbeck–Boussinesq Approximation ⋮ On the Rayleigh-Taylor instability for the two-phase Navier-Stokes equations in cylindrical domains ⋮ ℛ $${\mathcal R}$$ Boundedness, Maximal Regularity and Free Boundary Problems for the Navier Stokes Equations ⋮ Maximal \(L_{p}\)-\(L_{q}\) regularity for the two-phase Stokes equations; model problems ⋮ Compressible-incompressible two-phase flows with phase transition: model problem ⋮ Oberbeck-Boussinesq approximation for the motion of two incompressible fluids

Cites Work

• Solvability of a noncoercive initial-boundary value problem for a Stokes system in Hölder classes of functions (half-space case)
• Solvability of the linearized problem on the motion of a drop in a liquid flow
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