Navier-Stokes equations with nonhomogeneous boundary conditions in a convex bi-dimensional domain

Vincent Girinon

Annales de l'I.H.P. Analyse non linéaire (2009)

  • Volume: 26, Issue: 5, page 2025-2053
  • ISSN: 0294-1449

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Girinon, Vincent. "Navier-Stokes equations with nonhomogeneous boundary conditions in a convex bi-dimensional domain." Annales de l'I.H.P. Analyse non linéaire 26.5 (2009): 2025-2053. <http://eudml.org/doc/78923>.

@article{Girinon2009,
author = {Girinon, Vincent},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {compressible Navier-Stokes equations; inflow-outflow boundary conditions; global existence of weak solutions},
language = {eng},
number = {5},
pages = {2025-2053},
publisher = {Elsevier},
title = {Navier-Stokes equations with nonhomogeneous boundary conditions in a convex bi-dimensional domain},
url = {http://eudml.org/doc/78923},
volume = {26},
year = {2009},
}

TY - JOUR
AU - Girinon, Vincent
TI - Navier-Stokes equations with nonhomogeneous boundary conditions in a convex bi-dimensional domain
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2009
PB - Elsevier
VL - 26
IS - 5
SP - 2025
EP - 2053
LA - eng
KW - compressible Navier-Stokes equations; inflow-outflow boundary conditions; global existence of weak solutions
UR - http://eudml.org/doc/78923
ER -

References

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  1. [1] Amann H., Ordinary Differential Equations. An Introduction to Nonlinear Analysis, de Gruyter Stud. Math., de Gruyter, 1990. Zbl0708.34002MR1071170
  2. [2] Feireisl E., Dynamics of Viscous Compressible Fluids, Oxford Lecture Ser. Math. Appl., vol. 26, Oxford University Press, 2003. Zbl1080.76001MR2040667
  3. [3] Feireisl E., On compactness of solutions to the isentropic Navier–Stokes equations when the density is not square integrable, Comment. Math. Univ. Carolin.42 (1) (2001) 83-98. Zbl1115.35096MR1825374
  4. [4] Feireisl E., Novotný A., Petzeltová H., On existence of globally defined weak solution to the Navier–Stokes equations, J. Math. Fluid Mech.3 (2001) 358-392. Zbl0997.35043MR1867887
  5. [5] V. Girinon, Quelques problèmes aux limites pour les équations de Navier–Stokes, Thèse de l'Université de Toulouse III, 2008. 
  6. [6] Lions P.-L., Mathematical Topics in Fluid Mechanics, vol. 1: Incompressible Models, Oxford Lecture Ser. Math. Appl., vol. 10, Oxford University Press, 1996. Zbl0866.76002MR1422251
  7. [7] Lions P.-L., Mathematical Topics in Fluid Mechanics, vol. 2: Compressible Models, Oxford Lecture Ser. Math. Appl., vol. 10, Oxford University Press, 1998. Zbl0908.76004MR1637634
  8. [8] Novo S., Compressible Navier–Stokes model with inflow–outflow boundary conditions, J. Math. Fluid Mech.7 (2005) 485-514. Zbl1090.35139MR2189672
  9. [9] Novotný A., Straškraba I., Introduction to the Mathematical Theory of Compressible Flow, Oxford Lecture Ser. Math. Appl., vol. 27, Oxford University Press, 2004. Zbl1088.35051MR2084891

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