Traveling Wave Solutions to the Free Boundary Incompressible Navier‐Stokes Equations (Q6074557)

scientific article; zbMATH DE number 7749389

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English	Traveling Wave Solutions to the Free Boundary Incompressible Navier‐Stokes Equations	scientific article; zbMATH DE number 7749389

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instance of

scholarly article

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title

Traveling Wave Solutions to the Free Boundary Incompressible Navier‐Stokes Equations (English)

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Communications on Pure and Applied Mathematics

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publication date

12 October 2023

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full work available at URL

https://arxiv.org/abs/1912.10091

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zbMATH Keywords

incompressible Navier-Stokes equations

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surface tension

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traveling velocity

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overdetermined Stokes problem

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free boundary

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moving upper boundaries

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MaRDI profile type

MaRDI publication profile

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cites work

On a resolvent estimate of the Stokes equation on an infinite layer.

0 references

On a resolvent estimate of the Stokes equation on an infinite layer. II: \( \lambda=0\) case

0 references

On a stationary problem of the Stokes equation in an infinite layer in Sobolev and Besov spaces

0 references

Reduced and generalized Stokes resolvent equations in asymptotically flat layers. I: Unique solvability

0 references

Reduced and generalized Stokes resolvent equations in asymptotically flat layers. II: \(H_\infty\)-calculus

0 references

The initial-value problem for the Navier-Stokes equations with a free surface in \(L^q\)-Sobolev spaces

0 references

Generalized Stokes resolvent equations in an infinite layer with mixed boundary conditions

0 references

Resolvent estimates for the Stokes operator on an infinite layer.

0 references

Manifolds, tensor analysis, and applications.

0 references

Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

0 references

On the water-wave equations with surface tension

0 references

On the Cauchy problem for gravity water waves

0 references

Cauchy theory for the gravity water waves system with non-localized initial data

0 references

Global solutions and asymptotic behavior for two dimensional gravity water waves

0 references

Sobolev estimates for two dimensional gravity water waves

0 references

On the Stokes conjecture for the wave of extreme form

0 references

On solitary water-waves of finite amplitude

0 references

Solvability of the free boundary value problem of the Navier-Stokes equations

0 references

Free surface problem of stationary non-Newtonian fluids

0 references

The existence of solitary water waves

0 references

The initial value problem for the navier-stokes equations with a free surface

0 references

Large-time regularity of viscous surface waves

0 references

Q3783708

0 references

Q4112938

0 references

New estimates for elliptic equations and Hodge type systems

0 references

Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves

0 references

A variational reduction and the existence of a fully localised solitary wave for the three-dimensional water-wave problem with weak surface tension

0 references

On the wind generation of water waves

0 references

Travelling wave-like solutions of the Navier-Stokes and the related equations

0 references

Existence and qualitative theory for stratified solitary water waves

0 references

Existence, nonexistence, and asymptotics of deep water solitary waves with localized vorticity

0 references

Resonantly forced gravity–capillary lumps on deep water. Part 2. Theoretical model

0 references

Exact steady periodic water waves with vorticity

0 references

Global solutions of the gravity-capillary water-wave system in three dimensions

0 references

Resonantly forced gravity–capillary lumps on deep water. Part 1. Experiments

0 references

Travelling waves in dilatant non-Newtonian thin films

0 references

Phase transitions and traveling waves in compressible fluids

0 references

Free boundary value problems for the stationary Navier-Stokes equations in domains with noncompact boundaries

0 references

Global solutions for 2D quadratic Schrödinger equations

0 references

Global Existence for Capillary Water Waves

0 references

On the existence of non-flat profiles for a Bernoulli free boundary problem

0 references

On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions

0 references

Steady Water Waves

0 references

Fully localised solitary-wave solutions of the three-dimensional gravity -- capillary water-wave problem

0 references

Small-amplitude Stokes and solitary gravity water waves with an arbitrary distribution of vorticity

0 references

Almost exponential decay of periodic viscous surface waves without surface tension

0 references

Decay of viscous surface waves without surface tension in horizontally infinite domains

0 references

Local well-posedness of the viscous surface wave problem without surface tension

0 references

Decaying solution of a Navier-Stokes flow without surface tension

0 references

Two dimensional water waves in holomorphic coordinates

0 references

Exact solitary water waves with vorticity

0 references

Two dimensional water waves in holomorphic coordinates II: global solutions

0 references

On the regularity of the composition of diffeomorphisms

0 references

Global solutions for the gravity water waves system in 2d

0 references

Global Regularity for 2d Water Waves with Surface Tension

0 references

Small divisor problem in the theory of three-dimensional water gravity waves

0 references

The compressible viscous surface-internal wave problem: stability and vanishing surface tension limit

0 references

Free surface of the steady flow of a Newtonian fluid in a finite channel

0 references

Traveling waves bifurcating from plane Poiseuille flow of the compressible Navier-Stokes equation

0 references

On the existence theory for irrotational water waves

0 references

On the theory of steady-state waves of finite amplitude

0 references

Well-posedness of the water-waves equations

0 references

A First Course in Sobolev Spaces

0 references

Traces for homogeneous Sobolev spaces in infinite strip-like domains

0 references

Uniform regularity and vanishing viscosity limit for the free surface Navier-Stokes equations

0 references

The Stokes and Krasovskii Conjectures for the Wave of Greatest Height

0 references

On the solvability of the Stokes and Navier-Stokes problems in the domains that are layer-like at infinity

0 references

The asymptotic properties of the solution to the Stokes problem in domains that are layer-like at infinity

0 references

Global in time behavior of viscous surface waves: horizontally periodic motion

0 references

Experimental observation of gravity–capillary solitary waves generated by a moving air suction

0 references

Q3678854

0 references

Q3716575

0 references

Asymptotics of solutions of the stationary Navier-Stokes system of equations in a domain of layer type

0 references

A Proof of the Stokes Conjecture in the Theory of Surface Waves*

0 references

Convexity of Stokes waves of extreme form

0 references

The Viscous Surface Wave Problem with Generalized Surface Energies

0 references

Q3437286

0 references

Report on a local in time solvability of free surface problems for the Navier–Stokes equations with surface tension

0 references

Q5607484

0 references

Steady water waves

0 references

``Graph paper'' trace characterizations of functions of finite energy

0 references

Zero surface tension limit of viscous surface waves

0 references

Large-time existence of surface waves in incompressible viscous fluids with or without surface tension

0 references

Asymptotic stability of shear-flow solutions to incompressible viscous free boundary problems with and without surface tension

0 references

Decay of solutions to the linearized free surface Navier-Stokes equations with fractional boundary operators

0 references

On the existence of a wave of greatest height and Stokes’s conjecture

0 references

Stokes waves

0 references

Q4836063

0 references

Steady Periodic Capillary‐Gravity Waves with Vorticity

0 references

Steady periodic capillary waves with vorticity

0 references

Stratified Steady Periodic Water Waves

0 references

Steady stratified periodic gravity waves with surface tension. I: Local bifurcation.

0 references

Steady stratified periodic gravity waves with surface tension. II: Global bifurcation.

0 references

Steady Water Waves in the Presence of Wind

0 references

Global solution for the 3D gravity water waves system above a flat bottom

0 references

Large-Amplitude Solitary Water Waves with Vorticity

0 references

Solitary water waves of large amplitude generated by surface pressure

0 references

Well-Posedness and Decay of the Viscous Surface Wave

0 references

Well-posedness in Sobolev spaces of the full water wave problem in 2D

0 references

Well-posedness in Sobolev spaces of the full water wave problem in 3-D

0 references

Almost global wellposedness of the 2-D full water wave problem

0 references

Global wellposedness of the 3-D full water wave problem

0 references

Free boundary problems for nonstationary Navier–Stokes equations

0 references

On the free boundary problem of three-dimensional incompressible Euler equations

0 references

Identifiers

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6074557