1. Steady-state buoyancy-driven viscous flow with measure data
- Creator:
- Roubíček, Tomáš
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- non-Newtonean fluids, heat equation, dissipative heat, and adiabatic heat
- Language:
- English
- Description:
- Steady-state system of equations for incompressible, possibly non-Newtonean of the p-power type, viscous flow coupled with the heat equation is considered in a smooth bounded domain Ω ⊂ ℝn, n = 2 or 3, with heat sources allowed to have a natural L1- structure and even to be measures. The existence of a distributional solution is shown by a fixed-point technique for sufficiently small data if p > 3/2 (for n = 2) or if p > 9/5 (for n = 3).
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public