Keywords: Fluid flow; Stokes system; Brinkman equation; Varying viscosity; 76D03; 76D07; 76D10; 76S99;
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Keywords: primary; 35A01; secondary; 35Q35; 45K05; 76D03; Viscoelastic fluid; Initial-boundary value problem; Topological approximation method; Topological degree; Measure of noncompactness; Regular Lagrangian flow;
Keywords: 76T10; 76D03; 74H40; 35Q83; 76Wxx; Two-phase model; Drift-flux model; Vlasov-Fokker-Planck/magnetohydrodynamics equations; Global well-posedness; Decay estimates;
Keywords: 35Q30; 76D03; Stationary Navier-Stokes equations; Asymptotic behavior; Self-similar solutions;
Keywords: 76D03; 76A05; 74F10; 35R37; 46B50; 35K55; Non-cylindrical domain; Existence of weak solutions; Nonlinear parabolic problem; Compactness;
Keywords: 35Q35; 35R37; 76D03; 76D09; 76D33; 76D45; 35B20; 35B40; Water wave problem; Viscous surface water waves; Transformed field expansions; Existence and uniqueness of solutions; Analytic dependence;
Keywords: 35A05; 76A10; 76D03; Compressible viscoelastic fluid; Weak solution; Effective viscous flux; Global well-posedness;
Keywords: Navier-Stokes equations; Caputo fractional derivative; Energy methods; Approximate solutions; 35R11; 35Q30; 76D03;
Keywords: 2D magneto-micropolar equations; Global well-posedness; Partial dissipation; 35Q35; 35B35; 35B65; 76D03;
Keywords: 35D30; 76D03; 76A05; Nonhomogeneous Dirichlet boundary condition; Electrorheological fluid; Existence; Weak solution; Non-Newtonian fluid; Variable exponent;
Keywords: primary; 35Q35; 76S05; secondary; 76D03; Brinkman-Forchheimer; Tamed Navier-Stokes; Energy equality; Critical exponent; Global strong solutions; Strong global attractor;
Keywords: 76A10; 76D03; Incompressible viscoelastic flows; Strong solution; Blow-up criterion;
Keywords: 35B65; 35Q35; 76D03; Navier-Stokes equations; Free surface flow; Degenerate viscosities; Global weak solutions; Saint-Venant model;
Keywords: 76D03; 76D05; Local existence and uniqueness; Density-dependent incompressible Navier-Stokes equations; Compatibility condition; Gronwall type inequality;
Keywords: 35Q30; 76D03; 76D05; Time periodic Stokes system; Layer domain; Spatial asymptotic behavior;
Keywords: 35Q30; 76D03; 76D05; 35B25; Viscous lake equations; Inviscid limit; Power-type weights; Weighted Sobolev spaces;
Keywords: 35Q30; 76D03; Navier-Stokes equations; Gevrey class regularity;
Keywords: 76D03; 35Q35; Thermal instability; Magnetohydrodynamic problem; Compressible viscous fluid;
Keywords: 35A01; 35B45; 35B65; 76D03; 76D09MHD equations; Partial dissipation; Vertical diffusion; Weak solutions; Classical solutions; Global regularity
Keywords: 35Q35; 76A15; 76D03; 35K59Nematic liquid crystals; Quasilinear parabolic evolution equations; Regularity; Global solutions; Convergence to equilibria
Keywords: 35Q35; 76B03; 76D03; 76D09Boussinesq equations; Temperature-dependent viscosity; Blowup criterion; Global regularity
Keywords: 35D35; 35Q35; 76A15; 76D03; Density-dependent liquid crystal system; Existence and uniqueness; Strong solutions; Ericksen-Leslie system;
Keywords: 35Q30; 35A01; 35A02; 76D03; 76D05; 42B35Navier–Stokes; Bilinear estimates; Uniqueness; Morrey spaces
Keywords: 76D03; 35B33; 35Q35; 76D05Helicoidal Euler equation; Global existence; Uniqueness
Keywords: 35Q35; 76D03; 76N10Navier–Stokes equations; Regularity criterion
Keywords: 35Q35; 35A15; 76D03; 76D05; 76D07Navier–Stokes equations; Mixed boundary condition; Stress boundary condition; Pressure boundary condition; Rotation boundary condition; Existence; Uniqueness
Keywords: 35Q35; 35D05; 35Q30; 35Q72; 76D03; Fluid-structure interactions; Navier-Stokes equations; PD controller; Global solutions; Asymptotic stability; Switching feedback;
Keywords: 35Q35; 35B30; 76D03; 86A10Atmospheric equation; Variational inequality; Specific humidity; Saturation
Keywords: quasi-geostrophic equations; global regularity; maximum principle35Q35; 76D03
Keywords: 35Q30; 76D03; 76D05Nonhomogeneous incompressible fluids; Navier–Stokes equations; Global regularity; Vacuum
Keywords: 35Q30; 76D03; 76D05; 76D07Density-dependent incompressible magnetohydrodynamic equations; Full compressible magnetohydrodynamic equations; Regularity criterion; Vacuum; Bounded domain
Keywords: 35Q30; 76D03; 76D05Navier–Stokes equations; Existence and regularity theory; Theoretical approximation
Keywords: Axisymmetric Navier–Stokes equations; Regularity criterion; Weighted space35B65; 35Q35; 76D03
Keywords: Generalized MHD equations; Fractional dissipation; Time decay rate76A10; 76D03; 35Q35
Boundary partial regularity for steady flows of electrorheological fluids in 3D bounded domains
Keywords: 35D30; 35D35; 76D03; 76A05; Electrorheological fluid; Weak solution; Partial regularity; Regularity up to the boundary; Variable exponent;
Remarks on global regularity for the 3D MHD system with damping
Keywords: MHD equations; Navier-Stokes system; Damping; Strong solutions; 35Q35; 35B65; 76D03; 76W05;
Global well-posedness of incompressible Bénard problem with zero dissipation or zero thermal diffusivity
Keywords: Bénard problem; Cauchy problem; Global well-posedness; 35B65; 35Q35; 76D03;
Regularity of the 3D Navier-Stokes equations with viewpoint of 2D flow
Keywords: primary; 35Q30; secondary; 76D03; 76D05; Regularity; 3D flow; 2D flow; Axisymmetric flow; Swirl;
Global regularity to the 3D incompressible nematic liquid crystal flows with vacuum
Keywords: 76A15; 76D03; 35Q35; Global strong solution; Incompressible nematic liquid crystal equations; Vacuum;
Regularity of uniform attractor for 3D non-autonomous Navier-Stokes-Voigt equation
Keywords: Navier-Stokes-Voigt equation; Driving semigroup; Skew product flow; Uniform attractor; 35B40; 35B41; 35Q30; 76D03; 76D05;
Global small solutions of 3D incompressible Oldroyd-B model without damping mechanism
Keywords: 76A05; 76D03; Oldroyd-B model; Global classical solutions; Non-Newtonian flow;
Y spaces and global smooth solution of fractional Navier-Stokes equations with initial value in the critical oscillation spaces
Keywords: primary; 35Q30; 76D03; 42B35; 46E30; Fractional Navier-Stokes equations; Parameter Meyer wavelets; Besov-Morrey spaces; Triebel-Lizorkin-Morrey spaces; Well-posedness; Y spaces;
Boundary regularity criteria for the 6D steady Navier-Stokes and MHD equations
Keywords: 35Q30; 76D03; Navier-Stokes equations; MHD equations; Suitable weak solutions; Boundary regularity;
Exact steady-state solutions of 3D toroidal flows and their stability
Keywords: 35Q35; 35Q30; 76D03; 58D99; Riemannian geometry method; Navier-Stokes equations; Continuous and catastrophic transition; Toroidal coordinates; Implicit function theorem;
Local null controllability of the N-dimensional Navier-Stokes system with nonlinear Navier-slip boundary conditions and Nâ¯ââ¯1 scalar controls
Keywords: 35Q30; 76D03; 93B05; 93C10; Navier-Stokes system; Null controllability; Carleman estimates; Navier-slip boundary conditions;
The 2D Boussinesq equations with fractional horizontal dissipation and thermal diffusion
Keywords: 35Q35; 35B65; 76D03; 2D Boussinesq equations; Fractional dissipation; Global regularity;
On the well-posedness of 3-D inhomogeneous incompressible Navier-Stokes equations with variable viscosity
Keywords: 35Q35; 35Q30; 76D03; Well-posedness; Navier-Stokes equations; Besov spaces;
Direct simulation of rigid particles in a viscoelastic fluid
Keywords: Viscoelastic fluid; Oldroyd model; Fluid-structure interaction; Fictitious domain; Penalty method; Characteristics method; Dense suspensions; 76D03; 76A10; 35Q35;
On the geometric regularity conditions for the 3D Navier-Stokes equations
Keywords: 35Q30; 76D03; 76D05; Navier-Stokes equations; Regularity condition; Suitable weak solution;
Global regularity to the 2D incompressible MHD with mixed partial dissipation and magnetic diffusion in a bounded domain
Keywords: Global classical solution; incompressible MHD; initial-boundary value problem; partial dissipation; 76D03; 76W05;