Nonlinear stability of the magnetic Bénard problem via a generalized energy method
From MaRDI portal
Publication:1087419
DOI10.1007/BF00280699zbMath0611.76069MaRDI QIDQ1087419
Publication date: 1985
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
energy functionalnonlinear stabilityinitial perturbationsgeneralized energy methodquasistatic approximationmagnetic Bénard problem
Nonlinear effects in hydrodynamic stability (76E30) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)
Related Items
Finite amplitude instability thresholds in penetrative convection, A new approach to energy theory in the stability of fluid motion, A nonlinear stability analysis of the magnetic Bénard problem through the Lyapunov direct method, Nonlinear stability problem of a rotating doubly diffusive fluid layer, Magnetic effect on instability and nonlinear stability in a reacting fluid, On magnetic inhibition theory in non-resistive magnetohydrodynamic fluids, Stability of the viscoelastic Rayleigh-Bénard problem with an upper free boundary, On magnetic inhibition theory in 3D non-resistive magnetohydrodynamic fluids: global existence of large solutions, On inhibition of thermal convection instability by a magnetic field under zero resistivity, Stability near hydrostatic equilibrium to the three-dimensional magnetic Bénard fluid equations with partial dissipation, On the dynamical stability and instability of Rayleigh-Bénard problem in non-Newtonian fluids, On the spectrum of Euler–Lagrange operator in the stability analysis of Bénard problem, Uniform regularity estimates of solutions to three dimensional incompressible magnetic Bénard equations with Navier-slip type boundary conditions in half space, A nonlinear stability analysis of convection in a porous vertical channel including local thermal nonequilibrium, Global regularity for the 2D magnetic Bénard fluid system with mixed partial viscosity, On the conditional stability of the rest state of a fluid of second grade in unbounded domains, Global regularity of generalized magnetic Benard problem, Irreducibility of the three, and two and a half dimensional Hall-magnetohydrodynamics system, Global regularity results for the 212 D magnetic Bénard system with mixed partial viscosity, On the infinite Prandtl number limit in two-dimensional magneto-convection, On the stability of plane parallel convective flow, Existence and uniqueness of isothermal, slightly compressible stratified flow, The Bénard problem for slightly compressible materials: existence and linear instability, Blow-up criteria and regularity criterion for the three-dimensional magnetic Bénard system in the multiplier space, Transitions and bifurcations in couple stress fluid saturated porous media using a thermal non-equilibrium model, Nonlinear thermal instability in compressible viscous flows without heat conductivity, Energy methods for nonlinear stability in convection problems primarily related to geophysics, On the nonlinear stability of parallel shear flows, Stability analysis of a couple-stress fluid saturating a porous medium with temperature and pressure dependent viscosity using a thermal non-equilibrium model, The Lyapunov-Movchan method in problems of the stability of flows and deformation processes, A nonlinear stability analysis for magnetized ferrofluid heated from below, Bénard problem for slightly compressible fluids: existence and nonlinear stability in 3D, Necessary and sufficient stability conditions via the eigenvalues-eigenvectors method: an application to the magnetic Bénard problem, Existence and nonlinear stability of convective solutions for almost compressible fluids in Bénard problem, Well-posedness for nonhomogeneous magnetic Bénard system with zero resistivity, On the nonlinear stability of the rotating Bénard problem via the Lyapunov direct method, Global regularity results for the 2D magnetic Bénard problem with fractional dissipation, Nonlinear stability of the inviscid magnetic Bénard problem
Cites Work
- Unnamed Item
- Unnamed Item
- Exchange of stabilities, symmetry, and nonlinear stability
- On the stability of the Boussinesq equations
- Sulla stabilita asintotica in media in magnetoidrodinamica
- Metodi variazionali per la stabilita in media in magnetoidrodinamica
- Global stability of the conduction-diffusion solution
- Nonlinear interaction of magnetic field and convection
- The Uniform Continuity of Functions in Sobolev Spaces
- The dynamic effect of flux ropes on Rayleigh-Bénard convection
- On the principle of exchange of stabilities
- Buoyancy-surface tension instability by the method of energy
- Nonlinear Thermal Convection in Conducting Fluids
- Universal stability of hydromagnetic flows