Steady-state buoyancy-driven viscous flow with measure data

Tomáš Roubíček

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 2, page 493-504
  • ISSN: 0862-7959

Abstract

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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 ⊂ ℝ n , n = 2 or 3, with heat sources allowed to have a natural L 1 -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 ).

How to cite

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Roubíček, Tomáš. "Steady-state buoyancy-driven viscous flow with measure data." Mathematica Bohemica 126.2 (2001): 493-504. <http://eudml.org/doc/248830>.

@article{Roubíček2001,
abstract = {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 $\Omega \subset \mathbb \{R\}^n$, $n=2$ or 3, with heat sources allowed to have a natural $L^1$-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 $n=3$).},
author = {Roubíček, Tomáš},
journal = {Mathematica Bohemica},
keywords = {non-Newtonean fluids; heat equation; dissipative heat; adiabatic heat; non-Newtonean fluids; heat equation; dissipative heat; adiabatic heat; viscous flow; existence of a distributional solution; small data},
language = {eng},
number = {2},
pages = {493-504},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Steady-state buoyancy-driven viscous flow with measure data},
url = {http://eudml.org/doc/248830},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Roubíček, Tomáš
TI - Steady-state buoyancy-driven viscous flow with measure data
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 2
SP - 493
EP - 504
AB - 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 $\Omega \subset \mathbb {R}^n$, $n=2$ or 3, with heat sources allowed to have a natural $L^1$-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 $n=3$).
LA - eng
KW - non-Newtonean fluids; heat equation; dissipative heat; adiabatic heat; non-Newtonean fluids; heat equation; dissipative heat; adiabatic heat; viscous flow; existence of a distributional solution; small data
UR - http://eudml.org/doc/248830
ER -

References

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