Computation of bifurcated branches in a free boundary problem arising in combustion theory
ESAIM: Modélisation mathématique et analyse numérique, Special Issue for R. Temam's 60th birthday, Tome 34 (2000) no. 2, pp. 223-239.
@article{M2AN_2000__34_2_223_0,
     author = {Baconneau, Olivier and Brauner, Claude-Michel and Lunardi, Alessandra},
     title = {Computation of bifurcated branches in a free boundary problem arising in combustion theory},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {223--239},
     publisher = {Dunod},
     address = {Paris},
     volume = {34},
     number = {2},
     year = {2000},
     mrnumber = {1765658},
     zbl = {0962.65072},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_2000__34_2_223_0/}
}
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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, Special Issue for R. Temam's 60th birthday, Tome 34 (2000) no. 2, pp. 223-239. http://www.numdam.org/item/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

[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 | Zbl

[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 | Zbl

[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 | Zbl

[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 | Zbl

[7] M.G. Crandall and P.H. Rabinowitz, Bifurcation from simple eigenvalues. J. Funct. Anal. 8 (1971) 321-340. | MR | Zbl

[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 | Zbl

[10] D.S. Stewart and G.S.S. Ludford, The acceleration of fast deflagration waves. Z.A.M.M. 63 (1983) 291-302. | Zbl

[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 | Zbl