Global Sobolev regular solution for Boussinesq system (Q2700935)

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English	Global Sobolev regular solution for Boussinesq system	scientific article

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scholarly article

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Global Sobolev regular solution for Boussinesq system (English)

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Advances in Nonlinear Analysis

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publication date

27 April 2023

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zbMATH Keywords

Boussinesq system

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global Sobolev solution

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Nash-Moser iteration scheme

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1515/anona-2022-0298

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On the global well-posedness of 2-D Boussinesq system with variable viscosity

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Maximal \(L^{p}-L^{q}\) regularity to the Stokes problem with Navier boundary conditions

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Regularity criteria for Navier-Stokes equations with slip boundary conditions on non-flat boundaries via two velocity components

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Fine properties of self-similar solutions of the Navier-Stokes equations

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Nonuniqueness of weak solutions to the Navier-Stokes equation

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Partial regularity of suitable weak solutions of the navier-stokes equations

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Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation

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Local existence and blow-up criterion for the Boussinesq equations

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Global regularity for the 2D Boussinesq equations with partial viscosity terms

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The 2D Boussinesq equations with logarithmically supercritical velocities

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Global regularity for some classes of large solutions to the Navier-Stokes equations

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The Beltrami spectrum for incompressible fluid flows

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Les théorèmes de Leray et de Fujita-Kato pour le système de Boussinesq partiellement visqueux

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Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces

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Global well-posedness issues for the inviscid Boussinesq system with Yudovich's type data

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GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO

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Remarks on the lifespan of the solutions to some models of incompressible fluid mechanics

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An Introduction to Magnetohydrodynamics

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Global well-posedness for the Euler-Boussinesq system with axisymmetric data

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Global well-posedness for the Navier-Stokes-Boussinesq system with axisymmetric data

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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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Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions

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Structure of helicity and global solutions of incompressible Navier-Stokes equation

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A new proof of the Caffarelli-Kohn-Nirenberg theorem

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Global well-posedness of the 2D Boussinesq equations with vertical dissipation

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Commutator estimates and the euler and navier-stokes equations

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Well-posedness for the Navier-Stokes equations

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Strong solutions of the Navier-Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces

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Long-Time Existence of Solutions to Boussinesq Systems

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The imbedding problem for Riemannian manifolds

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On Leray's self-similar solutions of the Navier-Stokes equations

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Semigroups of linear operators and applications to partial differential equations

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

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Boundary regularity for the Navier-Stokes equations in a half-space

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

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On the ideal magnetohydrodynamics in three-dimensional thin domains: well-posedness and asymptotics

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Global well-posedness for the 2-D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity

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Well/ill-posedness for the dissipative Navier-Stokes system in generalized Carleson measure spaces

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The motion of closed hypersurfaces in the central force fields

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Dynamical behavior near explicit self-similar blow–up solutions for the Born–Infeld equation

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Asymptotic stability of explicit blowup solutions for three-dimensional incompressible magnetohydrodynamics equations

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Construction of a family of stable finite-time blowup solutions for the viscous Boussinesq system

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Existence of standing waves for quasi-linear Schrödinger equations on \(T^n\)

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1515/ANONA-2022-0298

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Sitelinks

Mathematics(1 entry)

mardi Publication:2700935

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