Well-posedness of the stationary and slowly traveling wave problems for the free boundary incompressible Navier-Stokes equations
From MaRDI portal
Publication:6611754
DOI10.1016/j.jfa.2024.110617zbMath1547.35506MaRDI QIDQ6611754
Publication date: 27 September 2024
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Symbolic computation and algebraic computation (68W30) Pseudodifferential operators as generalizations of partial differential operators (35S05) Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35) Waves for incompressible viscous fluids (76D33) Traveling wave solutions (35C07) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Local well-posedness of the viscous surface wave problem without surface tension
- Finite time singularities for the free boundary incompressible Euler equations
- Viscous incompressible free-surface flow down an inclined perturbed plane
- Solvability of the free boundary value problem of the Navier-Stokes equations
- Free boundary value problems for the stationary Navier-Stokes equations in domains with noncompact boundaries
- Some remarks on Banach spaces in which martingale difference sequences are unconditional
- Large-time regularity of viscous surface waves
- Operator-valued Fourier multiplier theorems on Triebel spaces
- Resolvent estimates for the Stokes operator on an infinite layer.
- On a free boundary problem for the stationary Navier-Stokes equations
- Small-time existence for the Navier-Stokes equations with a free surface
- Existenz- und Eindeutigkeitsbeweis für ein freies Randwertproblem für die stationären Navier-Stokesschen Bewegungsgleichungen
- Free surface of the steady flow of a Newtonian fluid in a finite channel
- A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
- Liquid drops in a viscous fluid under the influence of gravity and surface tension
- Manifolds, tensor analysis, and applications.
- Pseudodifferential operators and nonlinear PDE
- Stokes waves
- On a resolvent estimate of the Stokes equation on an infinite layer.
- On a resolvent estimate of the Stokes equation on an infinite layer. II: \( \lambda=0\) case
- Operator-valued Fourier multiplier theorems on \(L_{p}\)(\(X\)) and geometry of Banach spaces.
- On the splash singularity for the free-surface of a Navier-Stokes fluid
- Reduced and generalized Stokes resolvent equations in asymptotically flat layers. I: Unique solvability
- Reduced and generalized Stokes resolvent equations in asymptotically flat layers. II: \(H_\infty\)-calculus
- Small-time existence for the three-dimensional Navier-Stokes equations for an incompressible fluid with a free surface
- On a stationary problem of the Stokes equation in an infinite layer in Sobolev and Besov spaces
- Decay of viscous surface waves without surface tension in horizontally infinite domains
- The initial-value problem for the Navier-Stokes equations with a free surface in \(L^q\)-Sobolev spaces
- Bifurcation from simple eigenvalues
- Free boundary problem of steady incompressible flow with contact angle \(\frac \pi2\)
- Moving Interfaces and Quasilinear Parabolic Evolution Equations
- Analysis in Banach Spaces
- Well-Posedness and Decay of the Viscous Surface Wave
- Spaces of Operator-valued Functions Measurable with Respect to the Strong Operator Topology
- Fourier Analysis and Nonlinear Partial Differential Equations
- Report on a local in time solvability of free surface problems for the Navier–Stokes equations with surface tension
- Resonantly forced gravity–capillary lumps on deep water. Part 1. Experiments
- Resonantly forced gravity–capillary lumps on deep water. Part 2. Theoretical model
- Steady water waves
- Wave formation in laminar flow down an inclined plane
- A remark on inequalities of Calderon-Zygmund type for vector-valued functions
- On Fourier Multiplier Transformations of Banach-Valued Functions
- The initial value problem for the navier-stokes equations with a free surface
- On vector-valued Fourier multiplier theorems
- A geometric approach to the study of stationary free surface flows for viscous liquids
- The solvability of a free boundary problem for the stationary Navier-Stokes equations with a dynamic contact line
- Operator-Valued Fourier Multipliers, Vector - Valued Besov Spaces, and Applications
- A Joint Functional Calculus for Sectorial Operators with Commuting Resolvents
- A First Course in Sobolev Spaces
- Steady Water Waves
- Viscous two‐fluid flows in perturbed unbounded domains
- Analysis of Two Linearized Problems Modeling Viscous Two-Layer Flows
- Operator–valued Fourier multiplier theorems on Besov spaces
- Free boundary problems for nonstationary Navier–Stokes equations
- ON A TWO-FLUID INCLINED FILM FLOW WITH EVAPORATION
- On the regularity of the composition of diffeomorphisms
- Traveling Wave Solutions to the Multilayer Free Boundary Incompressible Navier--Stokes Equations
- Traveling water waves — the ebb and flow of two centuries
- Classical Fourier Analysis
- Modern Fourier Analysis
- Gleichgewichtsfiguren zäher Flüssigkeiten mit Oberflächenspannung
- Experimental observation of gravity–capillary solitary waves generated by a moving air suction
- Generalized Stokes resolvent equations in an infinite layer with mixed boundary conditions
- Some Maximal Inequalities
- Traveling wave solutions to the inclined or periodic free boundary incompressible Navier-Stokes equations
- Smooth stationary water waves with exponentially localized vorticity
- Traveling wave solutions to the one-phase Muskat problem: existence and stability
- Solitary solutions to the steady Euler equations with piecewise constant vorticity in a channel
- 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Well-posedness of the stationary and slowly traveling wave problems for the free boundary incompressible Navier-Stokes equations
