Free Boundary Fluid Systems in a Semigroup Approach and Oscillatory Behavior

DOI10.1137/S0036141096299892zbMath0889.35075MaRDI QIDQ4377468

Ben Schweizer

Publication date: 9 February 1998

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationsurface tensionfree boundaryviscous fluid

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Waves for incompressible viscous fluids (76D33)

Related Items

Unnamed Item, Unnamed Item, On the maximal \(L_{p}\)-\(L_{q}\) regularity of the Stokes problem with first order boundary condition; model problems, Global well-posedness of unsteady motion of viscous incompressible capillary liquid bounded by a free surface, ℛ $${\mathcal R}$$ Boundedness, Maximal Regularity and Free Boundary Problems for the Navier Stokes Equations, The Viscous Surface-Internal Wave Problem: Nonlinear Rayleigh–Taylor Instability, Existence and approximation results for shape optimization problems in rotordynamics, On a resolvent estimate of the Stokes system in a half space arising from a free boundary problem for the Navier-Stokes equations, Fluid Flows and Free Boundaries, Report on a local in time solvability of free surface problems for the Navier–Stokes equations with surface tension, A two-phase flow with a viscous and an inviscid fluid, A well-posed model for dynamic contact angles, On some free boundary problem of the Navier-Stokes equations in the maximal \(L_p - L_q\) regularity class, Local well-posedness of free surface problems for the Navier-Stokes equations in a general domain