A note on the existence and uniqueness of solutions of the micropolar fluid equations
From MaRDI portal
Publication:1235580
DOI10.1016/0020-7225(77)90025-8zbMath0351.76006OpenAlexW1976831552MaRDI QIDQ1235580
Salvatore Rionero, Giovanni Paolo Galdi
Publication date: 1977
Published in: International Journal of Engineering Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-7225(77)90025-8
Related Items (only showing first 100 items - show all)
Lower bounds on blow-up of solutions for magneto-micropolar fluid systems in homogeneous Sobolev spaces ⋮ A uniform error estimate in time for spectral Galerkin approximations of the magneto-micropolar fluid equations ⋮ Local exact controllability to trajectories of the magneto-micropolar fluid equations ⋮ Pressure regularity criteria of the three-dimensional micropolar fluid flows ⋮ Blow-up criterion of smooth solutions for magneto-micropolar fluid equations with partial viscosity ⋮ The optimal temporal decay estimates for the micropolar fluid system in negative Fourier-Besov spaces ⋮ Asymptotic smoothing effect of solutions of two-dimensional micropolar fluid flows ⋮ Pullback attractors of non-autonomous micropolar fluid flows ⋮ A new Beale-Kato-Majda criteria for the 3D magneto-micropolar fluid equations in the Orlicz-Morrey space ⋮ Anisotropic micropolar fluids subject to a uniform microtorque: the unstable case ⋮ An improved regularity criterion for the 3D magneto-micropolar equations in homogeneous Besov space ⋮ Stability of rarefaction waves for 1-D compressible viscous micropolar fluid model ⋮ Smoothness of Malliavin derivatives and dissipativity of solutions to two-dimensional micropolar fluid system ⋮ Unnamed Item ⋮ A decoupling finite element method with different time steps for the micropolar fluid model ⋮ On the motion of the 3D compressible micropolar fluids with time periodic external forces ⋮ Well-posedness and stability of solutions for the 3-D generalized micropolar system in Fourier-Besov-Morrey spaces ⋮ Homogenization of trajectory statistical solutions for the 3D incompressible magneto-micropolar fluids ⋮ Vanishing micro-rotation and angular viscosities limit for the 2D micropolar equations in a bounded domain ⋮ Global well-posedness of compressible magneto-micropolar fluid equations ⋮ Global existence of the strong solution to the 3D incompressible micropolar equations with fractional partial dissipation ⋮ Global well-posedness for 2D nonhomogeneous magneto-micropolar equations with density-dependent viscosity ⋮ A crypto-regularity result for the micropolar fluids equations ⋮ Global regularity of 3D nonhomogeneous incompressible micropolar fluids ⋮ Stability and large time decay for the three-dimensional magneto-micropolar equations with mixed partial viscosity ⋮ Vanishing viscosity limit for the 3D incompressible micropolar equations in a bounded domain ⋮ ON THE REGULARITY CRITERION ON ONE VELOCITY COMPONENT FOR THE MICROPOLAR FLUID EQUATIONS ⋮ Global classical large solution to compressible viscous micropolar and heat-conducting fluids with vacuum ⋮ Regularity and uniqueness of global solutions for the 3D compressible micropolar fluids ⋮ On the low Mach number limit of the compressible viscous micropolar fluid model ⋮ Decay estimates for a class of non‐Newtonian 3D magneto‐micropolar fluids ⋮ Stability and decay estimates of the 2D incompressible magneto-micropolar fluid system with partial viscosity on a flat Strip ⋮ Global existence and optimal estimation of the Cauchy problem to the 3D fluid equations ⋮ Unsteady flow of micropolar fluid on a magnetized sheet: Effects of magnetic and microrotation parameters on wall couple stress and skin friction ⋮ note on the regularity criterion for the micropolar fluid equations in homogeneous Besov spaces ⋮ Anisotropic micropolar fluids subject to a uniform microtorque: the stable case ⋮ Determining modes and determining nodes for the 3D non-autonomous regularized magnetohydrodynamics equations ⋮ Strong solutions for the Cauchy problem to three-dimensional nonhomogeneous incompressible micropolar fluid equations with vacuum ⋮ Remarks on the regularity criteria of weak solutions to the three-dimensional micropolar fluid equations ⋮ Time asymptotic profiles to the magneto-micropolar system ⋮ Global weak solutions to the equations of thermal convection in micropolar fluids subjected to Hall current ⋮ Regularity criterion for a weak solution to the three-dimensional magneto-micropolar fluid equations ⋮ Global regularity for d-dimensional micropolar equations with fractional dissipation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Exponential stability for the compressible micropolar fluid with cylinder symmetry in R3 ⋮ MICROPOLAR FLUID FLOWS WITH DELAY ON 2D UNBOUNDED DOMAINS ⋮ On regularity criteria for weak solutions to the micropolar fluid equations in Lorentz space ⋮ Regularity criteria of weak solutions to the three-dimensional micropolar flows ⋮ Optimization and Numerical Approximation for Micropolar Fluids ⋮ NEW MODELS IN MICROPOLAR FLUID AND THEIR APPLICATION TO LUBRICATION ⋮ Existence of \(H^{2}\)-global attractors of two-dimensional micropolar fluid flows ⋮ Unnamed Item ⋮ Pointwise Error Estimate for Spectral Galerkin Approximations of Micropolar Equations ⋮ A remark on the logarithmically improved regularity criterion for the micropolar fluid equations in terms of the pressure ⋮ Blow-up criterion for two-dimensional magneto-micropolar fluid equations with partial viscosity ⋮ Remark on mild solution to the 3D incompressible micropolar system in Fourier-Herz framework ⋮ Regularity criteria for the 3D magneto-micropolar fluid equations via the direction of the velocity ⋮ \((N-1)\) velocity components condition for the generalized MHD system in \(N\)-dimension ⋮ Global well-posedness for the 3D magneto-micropolar equations with fractional dissipation ⋮ Well-posedness and large time decay for the 3D micropolar equations with only velocity dissipation ⋮ Optimal time decay of the compressible micropolar fluids ⋮ Global regularity of the 3D magneto-micropolar equations with fractional dissipation ⋮ A new blow up criterion for the 3D magneto-micropolar fluid flows without magnetic diffusion ⋮ Pullback \(\mathcal{D}\)-attractors of the three-dimensional non-autonomous micropolar equations with damping ⋮ Blow-up criteria of smooth solutions to the three-dimensional magneto-micropolar fluid equations ⋮ Analysis of micropolar fluids: existence of potential microflow solutions, nearby global well-posedness, and asymptotic stability ⋮ The anisotropic integrability logarithmic regularity criterion to the 3D micropolar fluid equations ⋮ Stability and time decay rates of the 2D magneto-micropolar equations with partial dissipation ⋮ Global regularity of the \(2 \frac{1}{2} \operatorname{D}\) magneto-micropolar fluid flows with partial magnetic diffusion ⋮ On the large time decay of asymmetric flows in homogeneous Sobolev spaces ⋮ Interior \(\epsilon \)-regularity theory for the solutions of the magneto-micropolar equations with a perturbation term ⋮ Global strong solution for initial-boundary value problem of one-dimensional compressible micropolar fluids with density dependent viscosity and temperature dependent heat conductivity ⋮ Global existence of strong solution to the 3D micropolar equations with a damping term ⋮ Global attractors of two-dimensional micropolar fluid flows in some unbounded domains ⋮ Stability of contact discontinuity for 1-D compressible viscous micropolar fluid model ⋮ Global regularity for the 2D micropolar equations with fractional dissipation ⋮ Unique solvability of compressible micropolar viscous fluids ⋮ Large deviation principle for the micropolar, magneto-micropolar fluid systems ⋮ \(H^{2}\)-boundedness of the pullback attractor of the micropolar fluid flows with infinite delays ⋮ On the regularity criteria for the 3D magneto-micropolar fluids in terms of one directional derivative ⋮ On the theory of heat-conducting micropolar fluids ⋮ A logarithmically improved blow-up criterion for smooth solutions to the 3D micropolar fluid equations ⋮ Remarks on the regularity criterion of the 3D micropolar fluid flows in terms of the pressure ⋮ Global regularity of the three-dimensional fractional micropolar equations ⋮ On two-dimensional incompressible magneto-micropolar system with mixed partial viscosity ⋮ Long-time behavior of solution to the compressible micropolar fluids with external force ⋮ Sull' unicitae stabilita universale in media nella dinamica dei fluidi ⋮ Remarks on the pressure regularity criterion of the micropolar fluid equations in multiplier spaces ⋮ Global well-posedness to the Cauchy problem of 2D density-dependent micropolar equations with large initial data and vacuum ⋮ Existence and uniqueness of strong solution for the incompressible micropolar fluid equations in domains of \(\mathbb R^{3}\) ⋮ On the blow-up criterion of periodic solutions for micropolar equations in homogeneous Sobolev spaces ⋮ Global well-posedness for the 2D incompressible magneto-micropolar fluid system with partial viscosity ⋮ A novel type of wave behaviour in a compressible inviscid dipolar fluid and stability characteristics of generalized fluids ⋮ A regularity criterion for the 3D magneto-micropolar fluid equations in Triebel-Lizorkin spaces ⋮ Global regularity for the 2D magneto-micropolar equations with partial and fractional dissipation ⋮ Regularity criterion for weak solution to the 3D micropolar fluid equations ⋮ Global existence and decay estimate of solutions to magneto-micropolar fluid equations ⋮ A regularity criterion for the magneto-micropolar fluid equations in \(\dot{B}^{-1}_{\infty, \infty}\) ⋮ Logarithmical regularity criteria of the three-dimensional micropolar fluid equations in terms of the pressure
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Qualche risultato riguardo alle equazioni di Navier-Stokes nel caso bidimensionale
- Universal stability of magneto-micropolar fluid motions
- Un teorema di unicita per le equazioni di Navier-Stokes
- Über ein Rand-Anfangswertproblem der Magnetohydrodynamik
- Existence theorems in micropolar elastostatics
- Solution “in the large” of the nonstationary boundary value problem for the Navier-Stokes system with two space variables
- Uniqueness in elastodynamics of Cosserat and micropolar media
- Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
This page was built for publication: A note on the existence and uniqueness of solutions of the micropolar fluid equations
