A time-dependent perturbation solution from a steady state for Marangoni problem

DOI10.1080/00036811.2017.1317089zbMath1394.35376OpenAlexW2606848515MaRDI QIDQ3177605

Huichao Wang, Ruikuan Liu, Quan Wang

Publication date: 1 August 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1317089

zbMATH Keywords

perturbationglobal weak solutionMarangoni problem\(T\)-weakly continuous theory

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Free convection (76R10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Magneto-hydrodynamical model for plasma ⋮ Dynamical transition theory of hexagonal pattern formations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Continuous finite element schemes for a phase field model in two-layer fluid Bénard-Marangoni convection computations
• Theoretical study of a Bénard-Marangoni problem
• Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation
• Rotating Boussinesq equations: dynamic stability and transitions
• Exact analysis of Marangoni convection with throughflow
• Infinite-dimensional dynamical systems in mechanics and physics.
• Global well-posedness of the viscous Boussinesq equations
• On the initial value problem for the heat convection equation of Boussinesq approximation in a time-dependent domain
• Stationary solutions for generalized Boussinesq models
• Bifurcation theorems for the model system of Bénard-Marangoni convection
• Rayleigh-Bénard convection: dynamics and structure in the physical space
• Existence and nonuniqueness of rectangular solutions of the Benard problem
• Some global results for nonlinear eigenvalue problems
• Parallel adaptive solution of coupled Rayleigh-Bénard-Marangoni problems with the Navier-slip
• On convection cells induced by surface tension
• The initial value problem for a generalized Boussinesq model

This page was built for publication: A time-dependent perturbation solution from a steady state for Marangoni problem