Regularity and uniqueness for the stationary large eddy simulation model

Agnieszka Świerczewska

Applications of Mathematics (2006)

  • Volume: 51, Issue: 6, page 629-641
  • ISSN: 0862-7940

Abstract

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In the note we are concerned with higher regularity and uniqueness of solutions to the stationary problem arising from the large eddy simulation of turbulent flows. The system of equations contains a nonlocal nonlinear term, which prevents straightforward application of a difference quotients method. The existence of weak solutions was shown in A. Świerczewska: Large eddy simulation. Existence of stationary solutions to the dynamical model, ZAMM, Z. Angew. Math. Mech. 85 (2005), 593–604 and P. Gwiazda, A. Świerczewska: Large eddy simulation turbulence model with Young measures, Appl. Math. Lett. 18 (2005), 923–929.

How to cite

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Świerczewska, Agnieszka. "Regularity and uniqueness for the stationary large eddy simulation model." Applications of Mathematics 51.6 (2006): 629-641. <http://eudml.org/doc/33272>.

@article{Świerczewska2006,
abstract = {In the note we are concerned with higher regularity and uniqueness of solutions to the stationary problem arising from the large eddy simulation of turbulent flows. The system of equations contains a nonlocal nonlinear term, which prevents straightforward application of a difference quotients method. The existence of weak solutions was shown in A. Świerczewska: Large eddy simulation. Existence of stationary solutions to the dynamical model, ZAMM, Z. Angew. Math. Mech. 85 (2005), 593–604 and P. Gwiazda, A. Świerczewska: Large eddy simulation turbulence model with Young measures, Appl. Math. Lett. 18 (2005), 923–929.},
author = {Świerczewska, Agnieszka},
journal = {Applications of Mathematics},
keywords = {nonlocal operator; large eddy simulation; Smagorinsky model; dynamic Germano model; nonlocal operator; large eddy simulation; Smagorinsky model; dynamic Germano model},
language = {eng},
number = {6},
pages = {629-641},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Regularity and uniqueness for the stationary large eddy simulation model},
url = {http://eudml.org/doc/33272},
volume = {51},
year = {2006},
}

TY - JOUR
AU - Świerczewska, Agnieszka
TI - Regularity and uniqueness for the stationary large eddy simulation model
JO - Applications of Mathematics
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 6
SP - 629
EP - 641
AB - In the note we are concerned with higher regularity and uniqueness of solutions to the stationary problem arising from the large eddy simulation of turbulent flows. The system of equations contains a nonlocal nonlinear term, which prevents straightforward application of a difference quotients method. The existence of weak solutions was shown in A. Świerczewska: Large eddy simulation. Existence of stationary solutions to the dynamical model, ZAMM, Z. Angew. Math. Mech. 85 (2005), 593–604 and P. Gwiazda, A. Świerczewska: Large eddy simulation turbulence model with Young measures, Appl. Math. Lett. 18 (2005), 923–929.
LA - eng
KW - nonlocal operator; large eddy simulation; Smagorinsky model; dynamic Germano model; nonlocal operator; large eddy simulation; Smagorinsky model; dynamic Germano model
UR - http://eudml.org/doc/33272
ER -

References

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