Small-time existence for the Navier-Stokes equations with a free surface
From MaRDI portal
Publication:1109619
DOI10.1007/BF01442184zbMath0655.76021MaRDI QIDQ1109619
Publication date: 1987
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Related Items
Global solutions to the free boundary value problem of a chemotaxis-Navier–Stokes system ⋮ Uniform Estimate of Viscous Free-Boundary Magnetohydrodynamics with Zero Vacuum Magnetic Field ⋮ The compressible viscous surface-internal wave problem: stability and vanishing surface tension limit ⋮ The steady Navier-Stokes equations with mixed boundary conditions: application to free boundary flows ⋮ The transient lubrication problem as a generalized Hele-Shaw type problem ⋮ Analytic Solutions for the Two-phase Navier-Stokes Equations with Surface Tension and Gravity ⋮ The Compressible Viscous Surface-Internal Wave Problem: Local Well-Posedness ⋮ Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids ⋮ Well-posedness of surface wave equations above a viscoelastic fluid ⋮ Small-time existence for the three-dimensional Navier-Stokes equations for an incompressible fluid with a free surface ⋮ Global solvability of the Navier-Stokes equations with a free surface in the maximal \(L_{p}-L_{q}\) regularity class ⋮ Stability of stationary solutions to the three-dimensional Navier-Stokes equations with surface tension ⋮ On the global wellposedness of free boundary problem for the Navier-Stokes system with surface tension ⋮ On the maximal \(L_{p}\)-\(L_{q}\) regularity of the Stokes problem with first order boundary condition; model problems ⋮ Uniform regularity for free-boundary Navier–Stokes equations with surface tension ⋮ On a linearized problem arising in the Navier-Stokes flow of a free liquid jet ⋮ Global well-posedness of unsteady motion of viscous incompressible capillary liquid bounded by a free surface ⋮ The viscous surface-internal wave problem: global well-posedness and decay ⋮ Applications of operator-splitting methods to the direct numerical simulation of particulate and free-surface flows and to the numerical solution of the two-dimensional elliptic Monte-Ampère equation ⋮ ℛ $${\mathcal R}$$ Boundedness, Maximal Regularity and Free Boundary Problems for the Navier Stokes Equations ⋮ Unnamed Item ⋮ Variational Formulation of a Model Free-Boundary Problem ⋮ Zero surface tension limit of viscous surface waves ⋮ Report on a local in time solvability of free surface problems for the Navier–Stokes equations with surface tension ⋮ Loss of control of motions from initial data for pending capillary liquid ⋮ Compressible viscous heat-conducting surface wave without surface tension ⋮ Existence for an Unsteady Fluid-Structure Interaction Problem ⋮ On the ‐boundedness of solution operator families of the generalized Stokes resolvent problem in an infinite layer ⋮ 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
Cites Work
- Unnamed Item
- Large-time regularity of viscous surface waves
- Finite element approximation of the Navier-Stokes equations. Rev. repr. of the 1st ed
- The solvability of the second initial boundary-value problem for the linear, time-dependent system of Navier-Stokes equations
- Un problème de Navier-Stokes avec surface libre et tension superficielle
- The initial value problem for the navier-stokes equations with a free surface
- SOLVABILITY OF A PROBLEM ON THE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID BOUNDED BY A FREE SURFACE