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Blow-up rate of solutions of parabolic poblems with nonlinear boundary conditions
A bifurcation for a generalized Burgers' equation in dimension one
1. | LMPA Joseph Liouville (ULCO) FR 2956 CNRS, Université Lille Nord de France, 50 rue F. Buisson, B.P. 699, F-62228 Calais Cedex, France |
References:
[1] |
H. Amann, "Ordinary Differential Equations. An Introduction to Nonlinear Analysis," Translated from the German by Gerhard Metzen, de Gruyter Studies in Mathematics, 13, Walter de Gruyter & Co., Berlin, 1990. |
[2] |
C. Bandle, J. von Below and W. Reichel, Parabolic problems with dynamical boundary conditions: Eigenvalue expansions and blow up, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Math. Appl., 17 (2006), 35-37. |
[3] |
J. von Below and C. De Coster, A qualitative theory for parabolic problems under dynamical boundary conditions, Journal of Inequalities and Applications, 5 (2000), 467-486.
doi: 10.1155/S1025583400000266. |
[4] |
J. von Below and S. Nicaise, Dynamical interface transition in ramified media with diffusion, Comm. Partial Differential Equations, 21 (1996), 255-279. |
[5] |
J. von Below and G. Pincet Mailly, Blow up for reaction diffusion equations under dynamical boundary conditions, Communications in Partial Differential Equations, 28 (2003), 223-247.
doi: 10.1081/PDE-120019380. |
[6] |
J. von Below and G. Pincet Mailly, Blow Up for some nonlinear parabolic problems with convection under dynamical boundary conditions,, in, 2007 (): 1031.
|
[7] |
J. Escher, Quasilinear parabolic systems with dynamical boundary conditions, Comm. Partial Differential Equations, 18 (1993), 1309-1364. |
[8] |
J.-F. Rault, Phénomène d'Explosion et Existence Globale pour Quelques Problèmes Paraboliques sous les Conditions au Bord Dynamiques, Thèse Doctorale à l'Université du Littoral Côte d'Opale, 2010. |
show all references
References:
[1] |
H. Amann, "Ordinary Differential Equations. An Introduction to Nonlinear Analysis," Translated from the German by Gerhard Metzen, de Gruyter Studies in Mathematics, 13, Walter de Gruyter & Co., Berlin, 1990. |
[2] |
C. Bandle, J. von Below and W. Reichel, Parabolic problems with dynamical boundary conditions: Eigenvalue expansions and blow up, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Math. Appl., 17 (2006), 35-37. |
[3] |
J. von Below and C. De Coster, A qualitative theory for parabolic problems under dynamical boundary conditions, Journal of Inequalities and Applications, 5 (2000), 467-486.
doi: 10.1155/S1025583400000266. |
[4] |
J. von Below and S. Nicaise, Dynamical interface transition in ramified media with diffusion, Comm. Partial Differential Equations, 21 (1996), 255-279. |
[5] |
J. von Below and G. Pincet Mailly, Blow up for reaction diffusion equations under dynamical boundary conditions, Communications in Partial Differential Equations, 28 (2003), 223-247.
doi: 10.1081/PDE-120019380. |
[6] |
J. von Below and G. Pincet Mailly, Blow Up for some nonlinear parabolic problems with convection under dynamical boundary conditions,, in, 2007 (): 1031.
|
[7] |
J. Escher, Quasilinear parabolic systems with dynamical boundary conditions, Comm. Partial Differential Equations, 18 (1993), 1309-1364. |
[8] |
J.-F. Rault, Phénomène d'Explosion et Existence Globale pour Quelques Problèmes Paraboliques sous les Conditions au Bord Dynamiques, Thèse Doctorale à l'Université du Littoral Côte d'Opale, 2010. |
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