On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain
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Publication:1659619
DOI10.3934/cpaa.2018081zbMath1397.35179OpenAlexW2795485882MaRDI QIDQ1659619
Publication date: 22 August 2018
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2018081
Navier-Stokes equationsfree boundary problemlocal well-posednessexterior domainsmaximal \(L_p-L_q\) regularityweak Dirichet problemwithout surface tension
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35)
Related Items (9)
On the global wellposedness of free boundary problem for the Navier-Stokes system with surface tension ⋮ ℛ $${\mathcal R}$$ Boundedness, Maximal Regularity and Free Boundary Problems for the Navier Stokes Equations ⋮ Some Free Boundary Problem for Two-Phase Inhomogeneous Incompressible Flows ⋮ Strong solutions to compressible-incompressible two-phase flows with phase transitions ⋮ On the isothermal compressible multi-component mixture flow: the local existence and maximal \(L_p-L_q\) regularity of solutions ⋮ \(L^r\)-Helmholtz-Weyl decomposition for three dimensional exterior domains ⋮ Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains ⋮ On periodic solutions for one-phase and two-phase problems of the Navier-Stokes equations ⋮ On Strong Dynamics of Compressible Two-Component Mixture Flow
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