Hölder continuous solutions of Boussinesq equation with compact support
Keywords: 35Q30; 76D03; Boussinesq equations; Hölder continuous solution with compact support;
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On regularity for the Boussinesq system in a bounded domain
Keywords: Boussinesq system; Regularity criterion; Bounded domain; 35Q30; 76D03; 76D09;
Global existence of solutions to 1-d Euler equations with time-dependent damping
Keywords: 35Q30; 76N10Euler equation; Global existence; Time-dependent damping
The velocity tracking problem for Wick-stochastic Navier–Stokes flows using Weiner chaos expansion
Keywords: 35Q30; 65N30; 93E20Stochastic Navier–Stokes equations; Distributed control; Finite Element Methods; Wick product; White noise; Weiner chaos expansion
Global-wellposedness of 2D Boussinesq equations with mixed partial temperature-dependent viscosity and thermal diffusivity
Keywords: 35D10; 35Q30; 76D03Boussinesq equations; Global well-posedness; Horizontal temperature-dependent viscosity; Vertical thermal diffusivity
An efficient numerical verification method for the Kolmogorov problem of incompressible viscous fluid
Keywords: 35Q30; 65N15; 76D03Kolmogorov flows; Computer-assisted proof; Fixed-point theorem
A blow-up criterion of spherically symmetric strong solutions to 3d compressible navier-stokes equations with free boundary
Keywords: Blow-up criterion; spherically symmetric; free boundary; compressible Navier-Stokes equations35B44; 35D35; 35Q30; 35R35
Global classical solution to the cauchy problem of the 3-D compressible Navier-Stokes equations with density-dependent viscosity
Keywords: global existence; classical solution; compressible Navier-Stokes equations; density-dependent viscosity; vacuum35A09; 35Q30
Local existence of unique strong solution to non-isothermal model for incompressible nematic liquid crystals in 3D
Keywords: Incompressible flow; Liquid crystals; Non-isothermal; Local existence; Uniqueness76N10; 35Q30; 35R35
Temporal decay for the generalized Navier–Stokes equations
Keywords: 35B40; 35Q30; 35Q35Generalized Navier–Stokes equations; Temporal decay; Besov spaces
On Liouville type theorems for the steady Navier–Stokes equations in R3R3
Keywords: 35Q30; 76D05Steady Navier–Stokes equations; Liouville type theorems
Long time well-posedness of Prandtl system with small and analytic initial data
Keywords: 35Q30; 76D05; Prandtl system; Littlewood-Paley theory; Life-span; Energy method;
Global strong solutions to radial symmetric compressible Navier-Stokes equations with free boundary
Keywords: 76N15; 35Q30; Compressible Navier-Stokes equations; Free boundary; Global strong solution;
Global weak solutions to a model of micropolar fluids with Maxwell–Cattaneo heat transfer law
Keywords: 35Q30; 35Q35; 35Q79; 76W05; 76U05Micropolar fluid flows; Maxwell–Cattaneo heat transfer law; Incompressible Navier–Stokes equations
Large Eddy Simulation of gas–particle kinematic decoupling and turbulent entrainment in volcanic plumes
Keywords: 86-02; 86-04; 86-08; 86A10; 76-02; 76-04; 76F25; 76F45; 76F50; 76F65; 76H05; 76T15; 76T20; 76T30; 35Q30; 35Q86; 34-02; 34E05Volcanic plumes; Large eddy simulations; Dispersed multiphase turbulence; Entrainment coefficient; Grain size distribution; Numeric
Jump dynamics due to jump datum of compressible viscous Navier–Stokes flows in a bounded plane domain
Keywords: 35Q30; 76N10; 76F50Compressible viscous flows; Jump discontinuity; Piecewise regularity
On hyperbolic-dissipative systems of composite type
Keywords: 35M20; 35Q30; 76N10; 76N15Navier–Stokes equations; Euler equations; Hyperbolic; Dissipative; Global stability
On 2-D Boussinesq equations for MHD convection with stratification effects
Keywords: 35Q30; 76D03; MHD-Boussinesq system; Global well-posedness; Temperature-dependent viscosity;
Navier-Stokes flow in the weighted Hardy space with applications to time decay problem
Keywords: 35Q30; 76D05; Navier-Stokes equations; Weighted Hardy spaces; Asymptotic expansion; Time decay;
Regularity of solutions to axisymmetric Navier–Stokes equations with a slightly supercritical condition
Keywords: 35Q30; 76N10Axisymmetric Navier–Stokes equations; Slightly supercritical; Moser iteration; Regularity; The fundamental solution
The Cauchy problem for the pressureless Euler/isentropic Navier–Stokes equations
Keywords: 35Q30; 35Q70; 70B05; 35Q83Pressureless Euler equations; Compressible Navier–Stokes equations; Coupled hydrodynamic equations; Global existence of classical solutions; Large-time behavior
Stabilizing effect of large average initial velocity in forced dissipative PDEs invariant with respect to Galilean transformations
Keywords: 35B40; 35Q30; 35B41Dissipative PDEs; Averaging; Rapidly oscillating forcing; Navier–Stokes equation; Viscous Burgers' equation; Stabilization
Smooth solutions of the Euler and Navier–Stokes equations from the a posteriori analysis of approximate solutions
Keywords: 35Q30; 76D03; 76D05Navier–Stokes equations; Existence and regularity theory; Theoretical approximation
A Beale–Kato–Majda blow-up criterion for a hydrodynamic system modeling vesicle and fluid interactions
Keywords: 35B65; 35Q30; 76D09; 76T10Phase field; Vesicle membrane; Fluid interaction; Navier–Stokes equations; Blow-up criterion
On some large global solutions to 3-D density-dependent Navier–Stokes system with slow variable: Well-prepared data
Keywords: 35Q30; 76D03Inhomogeneous Navier–Stokes equations; Littlewood–Paley theory; Wellposedness
Local analyticity radii of solutions to the 3D Navier–Stokes equations with locally analytic forcing
Keywords: 35Q30; 76D05Navier–Stokes equations; Strong solutions; Analyticity
Ill-posedness for the Navier-Stokes equations in critical Besov spaces BËâ,qâ1
Keywords: 35Q30; 35K55; Navier-Stokes equations; Critical Besov spaces; Ill-posedness;
Steady 3D viscous compressible flows with adiabatic exponent γ∈(1,∞)γ∈(1,∞)
Keywords: 76N10; 35Q30; 35L60Compressible fluids; No-slip boundary condition; Navier–Stokes equations; Weak solutions
Time decay rates for the equations of the compressible heat-conductive flow through porous media
Keywords: 35Q30; 76N15; Compressible flow; Energy method; Optimal decay rates;
On some free boundary problem of the Navier-Stokes equations in the maximal Lp-Lq regularity class
Keywords: 35Q30; 76D05; Navier-Stokes equations; Free boundary problem; Uniform Wq2â1/q domain; Local in time unique existence theorem; Bounded domain; Global in time unique existence theorem;
The global well-posedness and global attractor for the solutions to the 2D Boussinesq system with variable viscosity and thermal diffusivity
Keywords: 35Q30; 34A12; 34D45Boussinesq system; Global regularity; Global attractor; Initial–boundary value problem
Mild solutions to the time fractional Navier–Stokes equations in RNRN
Keywords: 35R11; 35Q30; 33E12; 35B40; 35B65Fractional differential equations; Navier–Stokes equations; Mild solution; Mittag–Leffler functions; Decay properties
Pointwise upper bounds for the solution of the Stokes equation on Lσ∞(Ω) and applications
Keywords: 35Q30; 76D07L∞L∞ estimates for Stokes equation; Pointwise bounds; Bounded analytic semigroups; Exterior domain
Homogeneous Campanato–Sobolev classes
Keywords: 30H25; 31C15; 35Q30; 42B37; 46E35Campanato–Sobolev spaces; Dissipative heat operators; Bloch/Besov/Q spaces
Two-velocity hydrodynamics in fluid mechanics: Part II Existence of global κ-entropy solutions to the compressible Navier–Stokes systems with degenerate viscosities
Keywords: 35Q30; 76N10; 35D30Hypocoercivity; Compressible Navier–Stokes; Augmented system; Two-velocity hydrodynamics; κ-Entropy
On a regularized family of models for the full Ericksen–Leslie system
Keywords: 35B44; 35D30; 35K45; 35Q30; 76A15Navier–Stokes equations; Euler equations; Regularized Navier–Stokes; Navier–Stokes-αα; Leray-αα; Modified-Leray-αα; Simplified Bardina; Navier–Stokes–Voigt; Ericksen–Leslie system; Nematic liquid crystals; Global attractor
Global small solutions of 2-D incompressible MHD system
Keywords: 35Q30; 76D03Inviscid MHD system; Anisotropic Littlewood–Paley theory; Dissipative estimates; Lagrangian coordinates
On the global well-posedness of 2-D inhomogeneous incompressible Navier–Stokes system with variable viscous coefficient
Keywords: 35Q30; 76D03Inhomogeneous Navier–Stokes systems; Littlewood–Paley theory; Critical regularity
Hypothesis testing for stochastic PDEs driven by additive noise
Keywords: 60H15; 35Q30; 65L09Hypothesis testing for SPDE; Maximum likelihood estimator; Asymptotically the most powerful test; Cumulant generating function; Fractional heat equation; Additive space–time white noise
Global classical solutions to the 2D compressible MHD equations with large data and vacuum
Keywords: 35A09; 35Q30; 35Q35; 76N10; Compressible MHD equations; Global classical solutions; Density-dependent viscosity; Large data; Vacuum;
Global strong solution to the 2D density-dependent liquid crystal flows with vacuum
Keywords: 35Q30; 76D03; 76D092D density-dependent liquid crystal flows; Vacuum; Global strong solution
On the stability of global solutions to the 3D Boussinesq system
Keywords: 35Q30; 76D05; 76E20Boussinesq system; Global solution; Stability
Global well-posedness and ill-posedness for the Navier–Stokes equations with the Coriolis force in function spaces of Besov type
Keywords: 35A01; 35Q30; 76D03The Navier–Stokes equations; The Coriolis force; Global well-posedness; Ill-posedness
The existence of a solution with finite Dirichlet integral for the steady Navier–Stokes equations in a plane exterior symmetric domain
Keywords: 35Q30; 76D03; 76D05Two-dimensional bounded and exterior domains; Stationary Navier–Stokes equations; Nonhomogeneous boundary value problem
Compressible perturbation of Poiseuille type flow
Keywords: 35Q30; 76N10Lagrangian coordinates; Navier–Stokes equations; Compressible flow; Slip boundary conditions; Inflow condition; Strong solutions; Maximal regularity
A regularity criterion for the tridimensional Navier–Stokes equations in term of one velocity component
Keywords: 35Q30; 76D05Regularity criterions; Anisotropic inequality; Bony paraproduct decomposition; Leray–Hopf weak solution
Uniform global attractors for the nonautonomous 3D Navier–Stokes equations
Keywords: 35B40; 35B41; 35Q30; 76D05Uniform global attractor; Navier–Stokes equations; Evolutionary system; Trajectory attractor; Normal external force
Global large solutions to 3-D inhomogeneous Navier–Stokes system with one slow variable
Keywords: 35Q30; 76D03Inhomogeneous Navier–Stokes equations; Littlewood–Paley theory; Anisotropic Besov spaces
LpLp-theory for Stokes and Navier–Stokes equations with Navier boundary condition
Keywords: 35Q30; 76D05; 76D07; 76N10; 35Q40; 35J45Stokes equations; Navier–Stokes equations; Navier boundary conditions; Very weak solutions; LpLp-theory; Fluid mechanics
A fluid–structure model coupling the Navier–Stokes equations and the Lamé system
Keywords: 35Q30; 76D03; 76D05; 74B05Incompressible Navier–Stokes equations; Linear elasticity; Fluid–structure interactions; Lamé system; Strong solutions