A nonlinear evolution equation modelling the Marangoni effect : existence of solution and numerical methods

Alfredo Bermudez; Carmen Rodriguez

Annales de la Faculté des sciences de Toulouse : Mathématiques (1986-1987)

  • Volume: 8, Issue: 2, page 205-223
  • ISSN: 0240-2963

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Bermudez, Alfredo, and Rodriguez, Carmen. "A nonlinear evolution equation modelling the Marangoni effect : existence of solution and numerical methods." Annales de la Faculté des sciences de Toulouse : Mathématiques 8.2 (1986-1987): 205-223. <http://eudml.org/doc/73197>.

@article{Bermudez1986-1987,
author = {Bermudez, Alfredo, Rodriguez, Carmen},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {existence; uniqueness; evolution equation; boundary value problem; Marangoni effect; non-Newtonian fluid; numerical solution},
language = {eng},
number = {2},
pages = {205-223},
publisher = {UNIVERSITE PAUL SABATIER},
title = {A nonlinear evolution equation modelling the Marangoni effect : existence of solution and numerical methods},
url = {http://eudml.org/doc/73197},
volume = {8},
year = {1986-1987},
}

TY - JOUR
AU - Bermudez, Alfredo
AU - Rodriguez, Carmen
TI - A nonlinear evolution equation modelling the Marangoni effect : existence of solution and numerical methods
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1986-1987
PB - UNIVERSITE PAUL SABATIER
VL - 8
IS - 2
SP - 205
EP - 223
LA - eng
KW - existence; uniqueness; evolution equation; boundary value problem; Marangoni effect; non-Newtonian fluid; numerical solution
UR - http://eudml.org/doc/73197
ER -

References

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  2. [2] Attouch ( H.) and Damlamian ( A.).-Strong solution for parabolic variational inequalities, Nonlinear Anal., Theory, Methods and Applications, t. II, 3, 1978, p. 329-353. Zbl0395.35045MR512663
  3. [3] Barbu ( V.) and Precupanu ( T.). — Convexity and optimization in Banach spaces.— Academiei Bucuresti (Romania), 1978. Zbl0379.49010MR513634
  4. [4] Bermudez ( A.). — Un método numérico para la resolucion de ecuaciones con varios términos no lineales. Applicacion a un problema de flujo de gas en un conducto, Real Academia de Ciencias Exactas, Fisicas y Naturales de Madrid, Vol. LXXVIII, 4, 1984. 
  5. [5] Bermudez ( A.) and Moreno ( C.). — Duality methods for solving variational inequalities, Comput. and Math. Appl., t. 7, 1981, p. 43-58. Zbl0456.65036MR593554
  6. [6] Bermudez ( A.), Durany ( J.) and Saguez ( C.).- An existence theorem for an implicit nonlinear evolution equation. - Collectanea Mathematica, Vol. XXXV, 1Barcelona, (Espana), 1984. Zbl0584.47060MR802541
  7. [7] Brezis ( H.). — Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert. - North-Holland, London, 1973. Zbl0252.47055MR348562
  8. [8] Crandall ( M.) and Pazy ( A.). — Nonlinear evolution equations in Banach spaces, Israel J. Math., t. 11, 1972, p. 57-94. Zbl0249.34049MR300166
  9. [9] Kato ( T.). — Nonlinear semi-groups and evolution equations, J. Math. Soc. Japan, t. 19, 1967, p. 508-520. Zbl0163.38303MR226230
  10. [10] Kenmochi ( N.).- The semi-discretisation method and nonlinear time-dependent parabolic variational inequalities, Proc. Japan Acad., t. 50, 1975, p. 714-717. Zbl0335.49004MR375020
  11. [11] Lions ( J.L.). — Quelques méthodes de résolution des problèmes aux limites non linéaires. — Dunod, Paris, 1969. Zbl0189.40603MR259693
  12. [12] Peralba ( J.C.).- Un problème d'évolution relatif à un opérateur sous-différentiel dépendant du temps, C.R. Acad. Sci., Paris, t. 275, 1872, p. 93-96. Zbl0238.35018MR301586
  13. [13] Ruckenstein ( E.), Smigelschi ( O.) and Suciu ( D.G.).- A steady dissolving drop method for studying the pure Marangoni effect, Chemical Engineering Science, t. 25, 1970, p. 1249-1254. 
  14. [14] Watanabe ( J.). — On certain nonlinear evolution equations, J. Math. Soc. Japan, t. 25, 1973, p. 446-463. Zbl0253.35053MR326522

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