Thermally coupled quasi-Newtonian flows: Analysis and computation

DOI10.1016/j.cam.2011.01.036zbMath1446.76097OpenAlexW1963807913MaRDI QIDQ544227

Jiang Zhu, Xi-Jun Yu

Publication date: 14 June 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.01.036

zbMATH Keywords

existenceuniquenessfinite element approximationscoupled nonlinear systemviscous heatingquasi-Newtonian flow

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Existence results for a nonlinear elliptic system modeling a temperature dependent electrical resistor
• Existence of a solution to a coupled elliptic system
• Quasi-norm error bounds for the finite element approximation of a non- Newtonian flow
• Nonlinear systems arising from nonisothermal, non-Newtonian Hele-Shaw flows in the presence of body forces and sources.
• Stationary solutions to the thermistor problem
• Finite element analysis of a coupled thermally dependent viscosity flow problem
• Finite element analysis of a coupled nonlinear system
• Quasi-norm interpolation error estimates for the piecewise linear finite element approximation of \(p\)-Laplacian problems
• Mixed finite element analysis of a thermally nonlinear coupled problem
• Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions
• A Bound for the Temperature in the Thermistor Problem
• Finite Element Approximation of the p-Laplacian
• NUMERICAL MODELING OF INDUCTION HEATING FOR TWO-DIMENSIONAL GEOMETRIES
• STATIONARY SOLUTIONS TO A QUASI-NEWTONIAN FLOW WITH VISCOUS HEATING
• A Finite Element Model for the Time-Dependent Joule Heating Problem
• Nonisothermal, nonNewtonian hele-shaw flows, Part II: Asymptotics and existence of weak solutions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item