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Table des matières de ce fascicule | Article précédent | Article suivant Baconneau, Olivier; Brauner, Claude-Michel; Lunardi, Alessandra
Computation of bifurcated branches in a free boundary problem arising in combustion theory. ESAIM : Modélisation Mathématique et Analyse Numérique, 34 no. 2 (2000), p. 223-239
Texte intégral djvu | pdf | Analyses MR 1765658 | Zbl 0962.65072
URL stable: http://www.numdam.org/item?id=M2AN_2000__34_2_223_0
[1] O. Baconneau, Bifurcation de fronts pour un problème à frontière libre en combustion. Ph.D. thesis, Université Bordeaux 1 (1998). [2] C.-M. Brauner, J. Hulshof and A. Lunardi, A general approach to stability in free boundary problems. J. Differential Equations (to appear). Zbl 0973.35200 [3] C.-M. Brauner and A. Lunardi, Bifurcation of nonplanar travelling waves in a free boundary problem. Nonlinear Analysis T. M. A. (to appear). MR 1816662 | Zbl 0981.35102 [4] C.-M. Brauner, A. Lunardi and Cl. Schmidt-Lainé, Stability of travelling waves with interface conditions. Nonlinear Analysis T. M. A. 19 (1992) 465-484. MR 1181348 | Zbl 0780.35115 [5] C.-M. Brauner, A. Lunardi and Cl. Schmidt-Lainé, Multidimensional stability analysis of planar travelling waves. Appl. Math, Lett. 7 (1994) 1-4. MR 1350600 | Zbl 0814.35148 [6] C.-M. Brauner, A. Lunardi and Cl. Schmidt-Lainé, Stability of travelling waves in a multidimensional free boundary problem. Nonlinear Analysis T.M.A. (to appear). MR 1816663 | Zbl 1032.35082 [7] M.G. Crandall and P.H. Rabinowitz, Bifurcation from simple eigenvalues. J. Funct. Anal. 8 (1971) 321-340. MR 288640 | Zbl 0219.46015 [8] H.B. Keller, Numerical solution of bifurcation and non linear eigenvalue problems. P. Rabinowitz Ed., Academic Press, New York (1978) 73-94. [9] D.H. Sattinger, Stability of waves of nonlinear parabolic equations. Adv. Math. 22 (1976) 141-178. MR 435602 | Zbl 0344.35051 [10] D.S. Stewart and G.S.S. Ludford, The acceleration of fast deflagration waves. Z.A.M.M. 63 (1983) 291-302. Zbl 0564.76110 [11] J.L. Vazquez, The Free Boundary Problem for the Heat Equation with fixed Gradient Condition, Proc. Int. Conf. "Free Boundary Problem and Applications", Zakopane, Pitman Res. Notes Math. 363, Longman (1996). MR 1462990 | Zbl 0867.35120
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