Keywords: راه حل های قوی; 35Q91; 35K51; 91A13; Mean field games; Perturbations; Implicit function theorem; Strong solutions;
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Keywords: راه حل های قوی; Navier-Stokes-Boltzmann; Strong solutions; Vacuum; Blow-up criterion; Radiation;
Keywords: راه حل های قوی; primary; 35Q30; 35D35; secondary; 35B44; 35K65; Navier-Stokes-Boltzmann equations; Regular solutions; Strong solutions; Vacuum; Degenerate viscosity; Blow-up criterion;
Keywords: راه حل های قوی; Incompressible; Navier-Stokes-Korteweg system; Density-dependent; Strong solutions; Vacuum;
Quasilinear parabolic stochastic partial differential equations: Existence, uniqueness
Keywords: راه حل های قوی; 60H15; 60F10; 35R60; Quasilinear stochastic partial differential equations; Strong solutions; Energy inequality;
Keywords: راه حل های قوی; 92D25; 35D35; 35K20; Two interacting populations; Strong solutions; Galerkin approximation; Turing instability;
Keywords: راه حل های قوی; Stability; Magneto-Micropolar fluids; Strong solutions
Keywords: راه حل های قوی; Navier–Stokes–Fourier system; Isentropic Navier–Stokes equations; Variable coefficients; Strong solutions; Blow-up criteria
Keywords: راه حل های قوی; 35D35; 35Q35; 76A15; 76D03; Density-dependent liquid crystal system; Existence and uniqueness; Strong solutions; Ericksen-Leslie system;
Keywords: راه حل های قوی; evolution equation; local and nonlocal boundary conditions; quasi-accretive operators; mild solutions; strong solutions; local and global solutions47H06; 34A12; 35F20
Keywords: راه حل های قوی; Compressible magnetohydrodynamic equations; Two-dimensional space; Vacuum; Zero heat-conduction; Strong solutions; Cauchy problem;
Keywords: راه حل های قوی; 35Q35; 76A15; 35D35; 35B44Incompressible nematic liquid crystal flows; Density-dependent; Strong solutions; Blowup criterion
Keywords: راه حل های قوی; Stochastic partial differential equations; Nonlinear Gao Beam; Stochastic contact condition; Strong solutions; Ito formula
Keywords: راه حل های قوی; Two-component water-wave system; Littlewood–Paley theory; Local well-posedness; Blow-up; Strong solutions; Persistence property
Keywords: راه حل های قوی; Existence; Strong solutions; Compressible magnetohydrodynamic equations; Blow up
Keywords: راه حل های قوی; Compressible magnetohydrodynamics (MHD) equations; Strong solutions; Global existence and stability; Time periodic solutions
Keywords: راه حل های قوی; 49J15; 49K40; 49Q12; 90C31; Optimal control; Sensitivity analysis; Relaxation; Young measures; Pontryagin's multipliers; Strong solutions;
Keywords: راه حل های قوی; Incompressible Navier-Stokes equations; Density-dependent viscosity; Vacuum; Strong solutions;
Keywords: راه حل های قوی; Incompressible Navier–Stokes equations; Regularity criterion; Global regularity; Weak solutions; Strong solutions
Remarks on global regularity for the 3D MHD system with damping
Keywords: راه حل های قوی; MHD equations; Navier-Stokes system; Damping; Strong solutions; 35Q35; 35B65; 76D03; 76W05;
Global strong solution for the full MHD equations with vacuum and large data
Keywords: راه حل های قوی; Strong solutions; MHD equations; Constant coefficients; Vacuum;
Strong solutions to the Cauchy problem of two-dimensional incompressible fluid models of Korteweg type
Keywords: راه حل های قوی; Incompressible fluid; Korteweg type; Strong solutions; Vacuum; Cauchy problem;
Global higher regularity of solutions to singular p(x,t)-parabolic equations
Keywords: راه حل های قوی; Singular parabolic equation; Variable nonlinearity; Higher regularity; Strong solutions;
Strong solutions to a parabolic equation with linear growth with respect to the gradient variable
Keywords: راه حل های قوی; 35K93; 35K55; 35K67; Minimal surface equation; Strong solutions; Pseudoparabolic regularization;
Global well-posedness for the incompressible MHD equations with variable viscosity and conductivity
Keywords: راه حل های قوی; Incompressible MHD equations; Variable viscosity and conductivity; Strong solutions; Global existence; Large-time behavior;
On blow-up criteria for a new Hall-MHD system
Keywords: راه حل های قوی; Hall-MHD; Blow-up criterion; Strong solutions; 35B65; 76W05;
Blow up criterion for the 3D ghost effect system
Keywords: راه حل های قوی; 3D ghost effect system; Blow up criterion; Strong solutions
On well-posedness and blow-up for the full compressible Hall-MHD system
Keywords: راه حل های قوی; Hall-MHD; Strong solutions; Well-posedness; Blow-up criterion;
Lq-theory of the Kelvin–Voigt equations in bounded domains
Keywords: راه حل های قوی; Kelvin–Voigt equations; Bounded domain; Weak solutions; Strong solutions; Stokes operator; Semigroup theory
Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows
Keywords: راه حل های قوی; 76A15; 35B65; 35Q35; Nonhomogeneous incompressible nematic liquid crystal flow; Strong solutions; Vacuum; Temporal decay;
Regularity criteria for the strong solutions to the Ericksen–Leslie system in R3R3
Keywords: راه حل های قوی; Regularity criterion; Ericksen–Leslie system; Strong solutions
On strong solutions to the compressible Hall-magnetohydrodynamic system
Keywords: راه حل های قوی; Hall-MHD; Compressible; Strong solutions; Decay
Blow-up criterion for the 3D compressible non-isentropic Navier–Stokes equations without thermal conductivity
Keywords: راه حل های قوی; Navier–Stokes; Strong solutions; Vacuum; Blow-up criterion
Global well-posedness for the incompressible Navier–Stokes equations with density-dependent viscosity coefficient
Keywords: راه حل های قوی; 35B40; 35B45; 76D03; 76D05; 76D09Incompressible Navier–Stokes equations; Density-dependent viscosity; Strong solutions; Global existence
Local analyticity radii of solutions to the 3D Navier–Stokes equations with locally analytic forcing
Keywords: راه حل های قوی; 35Q30; 76D05Navier–Stokes equations; Strong solutions; Analyticity
Local strong solution and blow-up criterion for the 2D nonhomogeneous incompressible fluids
Keywords: راه حل های قوی; Nonhomogeneous incompressible fluid; Strong solutions; Two-dimensional space; Vacuum
Existence results for viscous polytropic fluids with degenerate viscosity coefficients and vacuum
Keywords: راه حل های قوی; primary, 35Q30, 35D35; secondary, 35B44, 35K65Navier–Stokes; Strong solutions; Vacuum; Degenerate viscosity
The “do nothing” problem for Boussinesq fluids
Keywords: راه حل های قوی; Boussinesq system; Newtonian fluids; ‘‘do nothing” boundary conditions; Strong solutions; Existence and uniqueness
Compressible perturbation of Poiseuille type flow
Keywords: راه حل های قوی; 35Q30; 76N10Lagrangian coordinates; Navier–Stokes equations; Compressible flow; Slip boundary conditions; Inflow condition; Strong solutions; Maximal regularity
On local classical solutions to the Cauchy problem of the two-dimensional barotropic compressible Navier–Stokes equations with vacuum
Keywords: راه حل های قوی; Compressible Navier–Stokes equations; Two-dimensional space; Vacuum; Strong solutions; Classical solutions
A fluid–structure model coupling the Navier–Stokes equations and the Lamé system
Keywords: راه حل های قوی; 35Q30; 76D03; 76D05; 74B05Incompressible Navier–Stokes equations; Linear elasticity; Fluid–structure interactions; Lamé system; Strong solutions
Blow-up criterions of strong solutions to 3D compressible Navier–Stokes equations with vacuum
Keywords: راه حل های قوی; Compressible Navier–Stokes equations; Strong solutions; Blow-up criterion; Vacuum
Strong solutions for a 1D viscous bilayer shallow water model
Keywords: راه حل های قوی; Strong solutions; Shallow water; Viscous models; Bilayer; Stability
A class of solutions of the Navier–Stokes equations with large data
Keywords: راه حل های قوی; 35Q30; 35K15Navier–Stokes equations; Weak solutions; Strong solutions; Regularity
Large time existence of strong solutions to micropolar equations in cylindrical domains
Keywords: راه حل های قوی; Micropolar fluids; Cylindrical domains; Strong solutions; Navier boundary conditions
Strong solutions for two-dimensional nonlocal Cahn–Hilliard–Navier–Stokes systems
Keywords: راه حل های قوی; 35Q30; 37L30; 45K05; 76D03; 76T99Navier–Stokes equations; Nonlocal Cahn–Hilliard equations; Strong solutions; Global attractors; Convergence to equilibrium; Łojasiewicz–Simon inequality
A blow-up criterion of strong solutions to a viscous liquid–gas two-phase flow model with vacuum in 3D
Keywords: راه حل های قوی; 76T10; 76N10; 35L65Liquid–gas two-phase flow model; Strong solutions; Blow-up criterion; Vacuum
Global existence and optimal decay rate for the strong solutions in H2H2 to the 3-D compressible Navier–Stokes equations without heat conductivity
Keywords: راه حل های قوی; The 3-D compressible Navier–Stokes equations without heat conductivity; Strong solutions; Optimal decay rates; Energy estimates
On the Cauchy problem of a periodic 2-component μμ-Hunter–Saxton system
Keywords: راه حل های قوی; 35G25; 35L05A periodic 2-component μμ-Hunter–Saxton system; Blow-up scenario; Blow-up; Strong solutions; Global existence
On the uniqueness of strong solution to the incompressible Navier-Stokes equations with damping
Keywords: راه حل های قوی; Navier-Stokes equations; Damping; Strong solutions; Uniqueness;