Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices

DOI10.1080/00036811.2015.1061122zbMath1336.35289OpenAlexW1091867716WikidataQ58178520 ScholiaQ58178520MaRDI QIDQ2805638

Maria Alessandra Ragusa, Saddek Gala

Publication date: 12 May 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1061122

zbMATH Keywords

regularity criterionBoussinesq equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (51)

Regularity properties of nonlocal fractional differential equations and applications ⋮ Existence of solution for a resonant \(p\)-Laplacian second-order \(m\)-point boundary value problem on the half-line with two dimensional kernel ⋮ Local solvability and stability of the inverse problem for the non-self-adjoint Sturm-Liouville operator ⋮ On the existence of three solutions of Dirichlet fractional systems involving the \(p\)-Laplacian with Lipschitz nonlinearity ⋮ Existence result for a Kirchhoff elliptic system with variable parameters and additive right-hand side via sub- and supersolution method ⋮ General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms ⋮ Global existence and exponential stability of coupled Lamé system with distributed delay and source term without memory term ⋮ Existence and regularity of solutions in \(\alpha \)-norm for some partial functional integrodifferential equations in Banach spaces ⋮ Hausdorff dimension of a random attractor for stochastic Boussinesq equations with double multiplicative white noises ⋮ Unnamed Item ⋮ Existence result for a Kirchhoff elliptic system involving p-Laplacian operator with variable parameters and additive right hand side via sub and super solution methods ⋮ On a class of nonlocal problems in new fractional Musielak-Sobolev spaces ⋮ Existence of solutions for a critical (p₁(x), … , p_n(x))-Kirchhoff-type potential systems ⋮ Monotone iterative schemes for positive solutions of a fractional differential system with integral boundary conditions on an infinite interval ⋮ Existence and uniqueness results for nonlinear implicit Riemann-Liouville fractional differential equations with nonlocal conditions ⋮ A regularity criterion for the 3D Boussinesq equations ⋮ Generalized critical Kirchhoff-type potential systems with Neumann Boundary conditions ⋮ Global well-posedness and decay characterization of solutions to 3D MHD equations with Hall and ion-slip effects ⋮ On solutions of a parabolic equation with nonstandard growth condition ⋮ Characterizations for the genuine Calderón-Zygmund operators and commutators on generalized Orlicz-Morrey spaces ⋮ Existence and multiplicity of solutions for Kirchhoff-type potential systems with variable critical growth exponent ⋮ Global existence, general decay and blow-up for a nonlinear wave equation with logarithmic source term and fractional boundary dissipation ⋮ A blowup criteria of smooth solutions to the 3D Boussinesq equations ⋮ On some problems of strongly Ozaki close-to-convex functions ⋮ Global existence combined with general decay of solutions for coupled Kirchhoff system with a distributed delay term ⋮ Infinite existence solutions of fractional systems with Lipschitz nonlinearity ⋮ On a couple of nonlocal singular viscoelastic equations with damping and general source terms: blow-up of solutions ⋮ Autocorrelation values of quaternary cyclotomic sequence of length 2pm ⋮ Dynamics of lump collision phenomena to the (3+1)-dimensional nonlinear evolution equation ⋮ Logarithmical regularity criterion of the three-dimensional Boussinesq equations in terms of the pressure ⋮ The 3D Boussinesq equations with regularity in one directional derivative of the pressure ⋮ Equivalent norms of \(cmo^p(\mathbb{R}^n)\) and applications ⋮ On existence of sequences of weak solutions of fractional systems with Lipschitz nonlinearity ⋮ A regularity criterion to the 3D Boussinesq equations ⋮ High-order numerical method for two-dimensional Riesz space fractional advection-dispersion equation ⋮ Remarks on pressure blow-up criterion of the 3D zero-diffusion Boussinesq equations in margin Besov spaces ⋮ Regularity criterion for 3D Boussinesq equations via partial horizontal derivatives of two velocity components ⋮ Regularity criteria of the density-dependent incompressible ideal Boussinesq and liquid crystals model ⋮ Remarks on pressure regularity criterion for the 3D Boussinesq equations ⋮ A regularity criterion of weak solutions to the 3D Boussinesq equations ⋮ On the regularity of weak solutions of the Boussinesq equations in Besov spaces ⋮ A regularity criterion of weak solutions to the 3D Boussinesq equations ⋮ Dynamics of lump solutions to the variable coefficients (2+1)-dimensional Burger's and Chaffee-Infante equations ⋮ Infinitely many solutions for nonlocal elliptic systems in Orlicz-Sobolev spaces ⋮ Logarithmically improved regularity criteria for the Boussinesq equations ⋮ A 3D non-stationary Boussinesq system with Navier-slip boundary conditions ⋮ Study of two dimensional boundary layer flow of a thin film second grade fluid with variable thermo-physical properties in three dimensions space ⋮ Solvability of Langevin equations with two Hadamard fractional derivatives via Mittag–Leffler functions ⋮ Positive solutions for m-point p-Laplacian fractional boundary value problem involving Riemann Liouville fractional integral boundary conditions on the half line ⋮ STABILITY RESULT AND WELL-POSEDNESS FOR TIMOSHENKO’S BEAM LAMINATED WITH THERMOELASTIC AND PAST HISTORY ⋮ Growth of solutions for a coupled nonlinear Klein-Gordon system with strong damping, source, and distributed delay terms

Cites Work

• Unnamed Item
• Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations
• A logarithmically improved regularity criterion for the 3D Boussinesq equations via the pressure
• A note on regularity criterion for the 3D Boussinesq system with zero thermal conductivity
• Regularity criteria of the 3D Boussinesq equations in the Morrey-Campanato space
• Blow-up criteria for 3D Boussinesq equations in the multiplier space
• On the interior regularity of weak solutions of the Navier-Stokes equations
• Conditions implying regularity of the three dimensional Navier-Stokes equation.
• A blow-up criterion for 3D Boussinesq equations in Besov spaces
• Theory of function spaces II
• On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
• A note on regularity criterion for the 3D Boussinesq system with partial viscosity
• Logarithmically improved regularity criteria for the Navier-Stokes equations in multiplier spaces
• Remarks on the blow-up criterion for smooth solutions of the Boussinesq equations with zero diffusion
• On the Navier-Stokes initial value problem. I
• Un teorema di unicita per le equazioni di Navier-Stokes
• Logarithmically improved regularity criteria for the 3D viscous MHD equations
• The regularity criterion of the weak solution to the 3D viscous Boussinesq equations in Besov spaces
• On the regularity criterion of strong solutions to the 3D Boussinesq equations
• Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations
• On the Cauchy problems for certain Boussinesq-α equations
• Regularity criteria for the 3D density-dependent Boussinesq equations
• On partial regularity results for the navier-stokes equations
• Local existence and blow-up criterion for the Boussinesq equations
• REMARKS ON THE BLOW-UP CRITERION FOR THE 3-D BOUSSINESQ EQUATIONS
• Remarks on logarithmical regularity criteria for the Navier–Stokes equations
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet

This page was built for publication: Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices