Navier-Stokes equations in a curved thin domain. III: Thin-film limit (Q2025723)

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English	Navier-Stokes equations in a curved thin domain. III: Thin-film limit	scientific article

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scholarly article

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Navier-Stokes equations in a curved thin domain. III: Thin-film limit (English)

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zbMATH Open document ID

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Tatsu-Hiko Miura

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Advances in Differential Equations

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publication date

14 May 2021

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full work available at URL

https://arxiv.org/abs/2002.06350

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https://projecteuclid.org/euclid.ade/1600135339

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

Navier-Stokes equations

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thin-film limit

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MaRDI profile type

MaRDI publication profile

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\(L^p\)-theory for Stokes and Navier-Stokes equations with Navier boundary condition

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Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid

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Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions

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On the two-phase Navier-Stokes equations with Boussinesq-Scriven surface fluid

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Mathematical tools for the study of the incompressible Navier-Stokes equations and related models

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Non-uniqueness of the Leray-Hopf solutions in the hyperbolic setting

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The formulation of the Navier-Stokes equations on Riemannian manifolds

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Total Mean Curvature and Submanifolds of Finite Type

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The stationary Navier-Stokes system in nonsmooth manifolds: the Poisson problem in Lipschitz and \(C^{1}\) domains

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Differential operators and boundary value problems on hypersurfaces

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Finite element methods for surface PDEs

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Groups of diffeomorphisms and the motion of an incompressible fluid

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ANALYSIS OF A DIFFUSE INTERFACE APPROACH TO AN ADVECTION DIFFUSION EQUATION ON A MOVING SURFACE

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An Introduction to the Mathematical Theory of the Navier-Stokes Equations

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Elliptic partial differential equations of second order

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A Damped Hyperbolic Equation on Thin Domains

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Reaction-diffusion equation on thin domains

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Navier wall law for nonstationary viscous incompressible flows

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Incompressible fluids in thin domains with Navier friction boundary conditions. I.

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Navier-Stokes equations with Navier boundary conditions for an oceanic model

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Incompressible fluids in thin domains with Navier friction boundary conditions. II

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Navier-Stokes equations in 3D thin domains with Navier friction boundary condition

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The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations

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Some results on the Navier-Stokes equations in thin 3D domains

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Navier-Stokes equations in thin 3D domains with Navier boundary conditions

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THE NAVIER-STOKES AND EULER EQUATIONS ON TWO-DIMENSIONAL CLOSED MANIFOLDS

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On the roughness-induced effective boundary conditions for an incompressible viscous flow

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Incompressible fluid problems on embedded surfaces: modeling and variational formulations

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Asymptotic behavior of eigenvalues of the Laplacian on a thin domain under the mixed boundary condition

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Riemannian geometry and geometric analysis

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Energetic variational approaches for incompressible fluid systems on an evolving surface

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Errata to “Energetic variational approaches for incompressible fluid systems on an evolving surface”

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Variational approach for the Stokes and Navier-Stokes systems with nonsmooth coefficients in Lipschitz domains on compact Riemannian manifolds

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Spectrum of the Laplacian in narrow tubular neighbourhoods of hypersurfaces with combined Dirichlet and Neumann boundary conditions

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Regularity of the Navier-Stokes equation in a thin periodic domain with large data

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On the regularity of the Navier-Stokes equation in a thin periodic domain

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Introduction to Smooth Manifolds

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Introduction to Riemannian Manifolds

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The uniform Korn-Poincaré inequality in thin domains

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Nonuniqueness of solutions of the Navier-Stokes equations on Riemannian manifolds

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New formulations of the primitive equations of atmosphere and applications

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On the equations of the large-scale ocean

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Mathematical theory for the coupled atmosphere-ocean models (CAO III)

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The nonlinear Hodge-Navier-Stokes equations in Lipschitz domains.

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Navier-Stokes equations on Lipschitz domains in Riemannian manifolds.

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Zero width limit of the heat equation on moving thin domains

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On singular limit equations for incompressible fluids in moving thin domains

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Asymptotic analysis of the Navier-Stokes equations in thin domains

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Discrete Exterior Calculus (DEC) for the Surface Navier-Stokes Equation

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A finite element approach to incompressible two-phase flow on manifolds

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A Finite Element Method for the Surface Stokes Problem

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A penalty finite element method for a fluid system posed on embedded surface

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Riemannian Geometry

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The incompressible Navier-Stokes equations on non-compact manifolds

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Solvability of the Navier-Stokes equations on manifolds with boundary

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Curved thin domains and parabolic equations

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On inertial manifolds for reaction-diffusion equations on genuinely high-dimensional thin domains

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Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions

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Stream function formulation of surface Stokes equations

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The Interplay of Curvature and Vortices in Flow on Curved Surfaces

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Erratum: The Interplay of Curvature and Vortices in Flow on Curved Surfaces

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Arbitrary Lagrangian-Eulerian finite element method for curved and deforming surfaces. I: General theory and application to fluid interfaces

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Navier-Stokes equations on Riemannian manifolds

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On the Eigenvalues of the Laplace Operator on a Thin Set with Neumann Boundary Conditions

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Interfacial Transport Phenomena

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On a boundary value problem for a stationary system of Navier-Stokes equations

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Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations

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Navier-Stokes equations in three-dimensional thin domains with various boundary conditions

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Inertial forms of Navier-Stokes equations on the sphere

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Approximation of tensor fields on surfaces of arbitrary topology based on local Monge parametrizations

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Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition

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Two-phase eigenvalue problem on thin domains with Neumann boundary condition.

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Existence of stable stationary solutions of scalar reaction-diffusion equations in thin tubular domains

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