ON THE NONLINEAR STABILITY OF MARANGONI–BÉNARD PROBLEM WITH FREE SURFACE IN THE BOUSSINESQ APPROXIMATION
From MaRDI portal
Publication:4678363
DOI10.1142/S0218202505003873zbMath1160.76348OpenAlexW2114208108MaRDI QIDQ4678363
Giovanna Guidoboni, Bum Ja Jin
Publication date: 23 May 2005
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202505003873
PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free boundary problems for PDEs (35R35)
Related Items
Unnamed Item ⋮ Inertial couplings between unilateral and bilateral holonomic constraints in frictionless Lagrangian systems ⋮ Stability of the viscoelastic Rayleigh-Bénard problem with an upper free boundary ⋮ On nonlinear stability of linear pinch ⋮ Analysis of a generalized kinematic impact law for multibody-multicontact systems, with application to the planar rocking block and chains of balls
Cites Work
- Unnamed Item
- On the free boundary value problem for compressible viscous fluid motion
- Bénard-Marangoni convection with a deformable surface
- On the exponential stability of the rest state of a viscous compressible fluid
- Global existence and exponential stability of convection
- A new approach to energy theory in the stability of fluid motion
- On convection cells induced by surface tension
- Energy stability theory for free-surface problems: buoyancy-thermocapillary layers
- The initial value problem for the navier-stokes equations with a free surface
- Buoyancy-surface tension instability by the method of energy
- Surface tension and buoyancy effects in cellular convection
- Stability and decay to zero of the \(L^2\)-norms of perturbations to a viscous compressible heat-conductive fluid motion exterior to a ball