Keywords: 35Q35; 76A15; 76D03; 35K59Nematic liquid crystals; Quasilinear parabolic evolution equations; Regularity; Global solutions; Convergence to equilibria
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Keywords: Integral equation; Dirichlet problem; Nonlinear theory; Inviscid flow; 35Q35; 76B07; 45B05;
Keywords: 35Q35; 35J15; Stokes wave; Pressure; Velocity field;
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: 76B03; 35Q31; 35Q35; 35Q86Locally self-similar solutions; Surface quasi-geostrophic equation; Blowup profiles; Exclusion results
Keywords: 35Q35; 35Q30; 76D09; Euler equations; Lagrangian and Eulerian coordinates; Analyticity; Gevrey class;
Keywords: 35Q35; 35K25; 76D05; 35D30; Cahn-Hilliard; Navier-Stokes; Incompressible non-isothermal binary fluid; Global-in-time existence; A-priori estimates;
Keywords: 76Txx; 35Q35; 35Q61; 76N10; 65N12; 65M60; Ferrofluids; Incompressible flows; Microstructure; Magnetization; Two-phase flow;
Keywords: 35Q31; 35Q35; 76B03Hydrostatic approximation; Formal derivation; Well-posedness; Formation of singularity; Local Rayleigh condition
Keywords: 76D03; 35B33; 35Q35; 76D05Helicoidal Euler equation; Global existence; Uniqueness
Keywords: 35B65; 35Q35; 35Q86Navier–Stokes equations; Magnetohydrodynamics system; Global regularity; Anisotropic Littlewood–Paley theory
Keywords: primary; 35B35; secondary; 35B40; 35Q35; 76N10; Compressible Navier-Stokes equations; Rarefaction wave; Stationary solution; Stability; Large initial perturbation;
Keywords: 35Q35; 76E17; 76E25; 35R35; 76B03; Magneto-hydrodynamics; Incompressible fluids; Current-vortex sheets; Interfacial stability and instability;
Keywords: 76D06; 35Q30; 35Q35; 60B05; 35Q99Statistical solution; Trajectory statistical solution; Navier–Stokes equations; Reaction–diffusion equation; Nonlinear wave equation
Keywords: 35Q35; 76A15; 35D35; 35B44Incompressible nematic liquid crystal flows; Density-dependent; Strong solutions; Blowup criterion
Keywords: 35Q35; 35A09; 35B30; 76N10; 76X05; Euler-Poission; Physical vacuum; Well-posedness; Two and three dimensions;
Keywords: 35Q35; 35B50Irrotational water waves; Symmetry of the free surface
Keywords: 35Q35; 76D03; 76N10Navier–Stokes equations; Regularity criterion
Keywords: 35B41; 35Q35; 37N10Pullback attractor; Planetary geostrophic viscous equations; Non-autonomous; Asymptotic a priori estimates
Keywords: 76W05; 35Q35; 35D05; 76X05Compressible magnetohydrodynamic equations; Long-time behavior; Fourier splitting method
Keywords: 35J05; 35Q35; 65M08; 65M55; Multigrid; Helmholz equation; Poisson equation; Shallow water flow; Stair-case boundary; Small island problem;
Keywords: 35Q35; 34C25; Camassa-Holm equation; Traveling wave solution; Wave length; Wave height; Center; Critical period;
Keywords: 35Q35; 35A15; 76D03; 76D05; 76D07Navier–Stokes equations; Mixed boundary condition; Stress boundary condition; Pressure boundary condition; Rotation boundary condition; Existence; Uniqueness
Keywords: 35Q35; 35B27; 76S05; 76D10; 65Z05Interface conditions; Pore scale simulation; Pressure slip law; Slip velocity; Boundary layers; Homogenization
Keywords: 65M60; 65M12; 65M15; 35Q35; 76D07; Discontinuous finite volume element methods; Semi-discrete scheme; Convergence to the weak solution; Error estimates; Nonlinear coupled flow and transport; Sedimentation-consolidation processes; Gravity flows;
Keywords: 35G20; 35Q35; 35Q51; 47J35; 53B20; Third order differential equations; Pseudospherical surfaces; Spherical surfaces; Nonlinear partial differential equations;
Keywords: 35R35; 35Q35; 76N10; 35J70Continuous subsonic–sonic flow; Free boundary; Degeneracy; Singularity
Keywords: 35Q35; 35B30; 76D03; 86A10Atmospheric equation; Variational inequality; Specific humidity; Saturation
Keywords: 35Q35; 35D05; 35Q30; 35Q72; 76D03; Fluid-structure interactions; Navier-Stokes equations; PD controller; Global solutions; Asymptotic stability; Switching feedback;
Keywords: 76B03; 35Q35; 2D incompressible Euler equations; Rotating patches; Inverse problems; Potential theory;
Keywords: 35K55; 35A01; 35D30; 35Q35; 35Q79Stefan–Maxwell equations; Navier–Stokes equations; Combustion; Multicomponent reactive flows; Cross-diffusion systems; Nonlinear diffusion laws; Method of compactness
Keywords: 35Q35; 35B65; 76D03Boussinesq equations; Fractional dissipation; Blow-up criterion
Keywords: 35Q35; 35B35; 35B65; 76D03Global regularity; Generalized MHD; Fractional Laplacian
Keywords: 35B65; 35Q35; 35Q86Global regularity; Magnetohydrodynamics system; Navier–Stokes system; Euler equations; Littlewood–Paley theory
Keywords: 35R11; 35Q35; 82C70Transport equation; Nonlocal velocity; Fractional dissipation
Keywords: 35K41; 35K55; 35K65; 35Q35; 76A20Thin Film; Degenerated parabolic system; Non-negative global weak solutions
Keywords: Variant Boussinesq equation with dissipation term; shape analysis; bounded traveling wave solution; error estimate; dissipation effect35G20; 35Q35; 35Q51
Keywords: 35Q35; 35B35; 35B65; 76D032D Boussinesq equations; Classical solutions; Global regularity; Small data
Keywords: 35Q35; 35K57Reaction–diffusion equations; Elliptic systems; Topological degree
Keywords: 35Q35; 76D05; 76B03Navier–Stokes; Stationary Navier–Stokes; Partial regularity; De Giorgi iteration
Keywords: 76B03; 35Q31; 35Q35; 35Q862D inviscid Boussinesq system; Yudovich type data; Critical and supercritical dissipation; Commutator estimates
Keywords: primary; 35A09; 35B44; 35Q30; secondary; 35L65; 35Q35; Navier-Stokes-Boltzmann equations; Classical solutions; Vacuum; Blow-up;
Keywords: primary; 35Q35; Dispersive nonlinear evolution equation; Large time asymptotics;
Keywords: Axisymmetric Navier–Stokes equations; Regularity criterion; Weighted space35B65; 35Q35; 76D03
Keywords: Quasi-geostrophic equation; Weak–strong uniqueness criterion; Morrey–Campanato space35A02; 35Q35; 35Q86
Keywords: Generalized MHD equations; Fractional dissipation; Time decay rate76A10; 76D03; 35Q35
Keywords: 35Q35; 35Q92; 76W05Poisson–Nernst–Planck–Navier–Stokes equations; Energetic variational approach; Well-posedness; Optimal decay
Keywords: 35Q35; 35K15MHD equations; Initial value problem; Asymptotic behavior; Stability
Measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank energy
Keywords: 35Q35; 35K65; 76A15; Liquid crystal; Ericksen-Leslie equation; Existence; Measure-valued solution; Generalized Young measure;