ℛ $${\mathcal R}$$ Boundedness, Maximal Regularity and Free Boundary Problems for the Navier Stokes Equations
From MaRDI portal
Publication:3296721
DOI10.1007/978-3-030-36226-3_3zbMath1458.76027arXiv1905.12900OpenAlexW2947812015MaRDI QIDQ3296721
Publication date: 1 July 2020
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.12900
Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Other free boundary flows; Hele-Shaw flows (76D27)
Related Items (14)
Maximal \(L^p-L^q\) regularity for two-phase fluid motion in the linearized Oberbeck-Boussinesq approximation ⋮ Global well posedness for a Q-tensor model of nematic liquid crystals ⋮ The \(L_p\)-\(L_q\) decay estimate for the multidimensional compressible flow with free surface in the exterior domain ⋮ New thought on Matsumura-Nishida theory in the \(L_p\)-\(L_q\) Maximal regularity framework ⋮ On the Stokes system in cylindrical domains ⋮ The \(\mathcal{R}\)-bounded operator families arising from the study of the barotropic compressible flows with free surface ⋮ Stability of stationary solutions to the three-dimensional Navier-Stokes equations with surface tension ⋮ Periodic \(\mathrm{L}_p\) estimates by \(\mathscr{R}\)-boundedness: applications to the Navier-Stokes equations ⋮ Local well-posedness for two-phase fluid motion in the Oberbeck-Boussinesq approximation ⋮ Strong solutions to compressible-incompressible two-phase flows with phase transitions ⋮ Maximal \(L^1\)-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space ⋮ On periodic solutions for one-phase and two-phase problems of the Navier-Stokes equations ⋮ Resolvent estimates for a compressible fluid model of Korteweg type and their application ⋮ Local well-posedness of incompressible viscous fluids in bounded cylinders with \(90^\circ \)-contact angle
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local well-posedness of free surface problems for the Navier-Stokes equations in a general domain
- Decaying solution of the Navier-Stokes flow of infinite volume without surface tension
- On the maximal \(L_{p}\)-\(L_{q}\) regularity of the Stokes problem with first order boundary condition; model problems
- On the local solvability of free boundary problem for the Navier-Stokes equations
- On decay properties of solutions to the Stokes equations with surface tension and gravity in the half space
- On a free boundary problem for the Navier-Stokes equations.
- On the two-phase Navier-Stokes equations with surface tension
- Large-time regularity of viscous surface waves
- On an initial-boundary value problem for the Stokes systems arising in the study of a problem with a free boundary
- Solvability of a noncoercive initial-boundary value problem for a Stokes system in Hölder classes of functions (half-space case)
- Decaying solution of a Navier-Stokes flow without surface tension
- Classical solutions of the Stefan problem
- Unsteady motion of a finite mass of fluid, bounded by a free surface
- Small-time existence for the Navier-Stokes equations with a free surface
- Solvability in Hölder spaces of a model initial-boundary value problem generated by a problem on the motion of two fluids
- Bounded \(H_ \infty\)-calculus for elliptic operators
- Problem of the motion of two viscous incompressible fluids separated by a closed free interface
- On a resolvent estimate of the interface problem for the Stokes system in a bounded domain
- On a resolvent estimate for the Stokes system with Neumann boundary condition.
- On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain
- Global solvability of the Navier-Stokes equations with a free surface in the maximal \(L_{p}-L_{q}\) regularity class
- Global well-posedness of unsteady motion of viscous incompressible capillary liquid bounded by a free surface
- A priori estimates of the solution of a linear time-dependent problem connected with the motion of a drop in a fluid medium
- Large-time existence of surface waves in incompressible viscous fluids with or without surface tension
- An existence theorem for the multifluid Navier-Stokes problem
- Small-time existence for the three-dimensional Navier-Stokes equations for an incompressible fluid with a free surface
- Generalized resolvent estimates of the Stokes equations with first order boundary condition in a general domain
- On the \(\mathcal {R}\)-boundedness of solution operators for the Stokes equations with free boundary condition.
- A structurally damped plate equation with Dirichlet-Neumann boundary conditions
- On generalized solutions of two-phase flows for viscous incompressible fluids
- Qualitative behaviour of solutions for the two-phase Navier-Stokes equations with surface tension
- The initial-value problem for the Navier-Stokes equations with a free surface in \(L^q\)-Sobolev spaces
- Singular integrals
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- Analytic Solutions for the Two-phase Navier-Stokes Equations with Surface Tension and Gravity
- Local Solvability of Free Boundary Problems for the Two-phase Navier-Stokes Equations with Surface Tension in the Whole Space
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- On the linear problem arising in the study of a free boundary problem for the Navier–Stokes equations
- Large time existence of small viscous surface waves without surface tension
- The initial value problem for the navier-stokes equations with a free surface
- Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods.
- On Global Weak Solutions of the Nonstationary Two-Phase Stokes Flow
- Free Boundary Fluid Systems in a Semigroup Approach and Oscillatory Behavior
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- On local existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion
- On the L p - L q decay estimate for the Stokes equations with free boundary conditions in an exterior domain
- ON THE TRANSIENT MOTION OF AN ISOLATED VOLUME OF VISCOUS INCOMPRESSIBLE FLUID
- On the $${\mathscr {R}}$$ R -Bounded Solution Operator and the Maximal $$L_p$$ L p - $$L_q$$ L q Regularity of the Stokes Equations With Free Boundary Condition
- On the $\mathcal{R}$-Sectoriality and the Initial Boundary Value Problem for the Viscous Compressible Fluid Flow
- On the Lp-Lq maximal regularity of the Neumann problem for the Stokes equations in a bounded domain
- Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
This page was built for publication: ℛ $${\mathcal R}$$ Boundedness, Maximal Regularity and Free Boundary Problems for the Navier Stokes Equations
