Lunardi: Problemi parabolici a frontiera libera

Lunardi, Alessandra:
Problemi parabolici a frontiera libera
Bollettino dell'Unione Matematica Italiana Serie 8 3-B (2000), fasc. n.1, p. 11-29, Unione Matematica Italiana (Italian)
pdf (287 Kb), djvu (228 Kb). | MR1755700 | Zbl 0954.35156

Referenze Bibliografiche

[1] F. ALABAU, A. LUNARDI, Behavior near the travelling wave solution of a free boundary system in Combustion Theory, Dynamic Systems and Applications, 1 (1992), 391-418. | MR 1195918 | Zbl 0818.35040

[2] H. AMANN, Linear and Quasilinear Parabolic Problems, Vol. 1, Birkhäuser Verlag (1995). | MR 1345385 | Zbl 0819.35001

[3] O. BACONNEAU, Tesi di Dottorato, Université Bordeaux 1 (1997).

[4] C. M. BRAUNER-J. HULSHOF-A. LUNARDI, A general approach to stability in free boundary problems, preprint University of Leiden (1998). In corso di stampa su J. Diff. Eqns. | Zbl 0973.35200

[5] C.M. BRAUNER, A. LUNARDI, Bifurcation of non planar travelling waves in a free boundary problem, Preprint Mathématiques Appliquées de Bordeaux 97022 (1997). In corso di stampa su Nonlinear Analysis T.M.A. | Zbl 0981.35102

[6] C. M. BRAUNER-A. LUNARDI, Instabilities in a combustion model with free boundary in $\mathbb{R}^{2}$, In corso di stampa su Arch. Rat. Mech. Anal. | Zbl 0984.76030

[7] C.-M. BRAUNER-A. LUNARDI, CL. SCHMIDT-LAINÉ, Stability of travelling waves with interface conditions, Nonlinear Analysis T.M.A., 19 (1992), 465-484. | MR 1181348 | Zbl 0780.35115

[8] C.-M. BRAUNER-A. LUNARDI, CL. SCHMIDT-LAINÉ, Multidimensional stability analysis of planar travelling waves, Appl. Math. Letters, 7 (1994), 1-4. | MR 1350600 | Zbl 0814.35148

[9] C.-M. BRAUNER-A. LUNARDI, CL. SCHMIDT-LAINÉ, Stability of travelling waves in a multidimensional free boundary problem, Preprints di Matematica, Sc. Norm. Sup. Pisa (1996). In corso di stampa su Nonlinear Analysis T.M.A. | MR 1816663 | Zbl 1032.35082

[10] C. M. BRAUNER-S. NOOR EBAD-CL. SCHMIDT-LAINÉ, Nonlinear stability analysis of singular travelling waves in combustion-a one-phase problem, Nonlinear Analysis, 16 (1991), 881-892. | MR 1106375 | Zbl 0734.35004

[11] J.D. BUCKMASTER-G. S. S. LUDFORD, Theory of laminar flames, Cambridge University Press, Cambridge (1982). | MR 666866 | Zbl 0557.76001

[12] J. D. BUCKMASTER-G. S. S. LUDFORD, Lectures on mathematical combustion, CBMS-NSF Conference Series in Applied Mathematics, SIAM (1983). | MR 765073 | Zbl 0574.76001

[13] L. A. CAFFARELLI-J. L. VAZQUEZ, A free boundary problem for the heat equation arising in flame propagation, Trans. Amer. Math. Soc., 347 (1995), 411-441. | MR 1260199 | Zbl 0814.35149

[14] M. CRANDALL-I. ISHII-P.-L. LIONS, A user's guide to viscosity solutions of nonlinear PDE's, Bull. Amer. Math. Soc., 27 (1992), 1-67. | fulltext mini-dml | MR 1118699 | Zbl 0755.35015

[15] S. CRANK, Free and Moving Boundary Problems, The Clarendon Press, Oxford Univ. Press, New York (1987). | MR 891186 | Zbl 0629.35001

[16] G. DA PRATO-P. GRISVARD, Equations d'évolution abstraites non linéaires de type parabolique, Ann. Mat. Pura Appl. (IV) 120 (1979), 329-396. | MR 551075 | Zbl 0471.35036

[17] A. FASANO, M. PRIMICERIO, General free boundary problems for the heat equation, Part I: J. Math. Anal. Appl., 57 (1977), 694-723; Part II: J. Math. Anal. Appl., 58 (1977), 202-231; Part III: J. Math. Anal. Appl., 57 (1977), 1-14. | Zbl 0355.35037

[18] A. VAN HARTEN-B. J. MATKOWSKI, A new model in flame theory, SIAM J. Appl. Math., 42 (1982), 850-867. | MR 665390 | Zbl 0544.76134

[19] D. HENRY, Geometric theory of parabolic equations, Lect. Notes in Math., 840, Springer, Berlin (1980). | Zbl 0456.35001

[20] Y. KORTSARTS-I. BRAILOVSKY-S. GUTMAN-G. I. SIVASHINSKY, On the stability of stretched flames, Combust. Theory Modelling, 1 (1997), 143-156. | MR 1457102 | Zbl 0937.76023

[21] N. KRYLOV, Nonlinear Elliptic and Parabolic Equations of the Second Order, Nauka, Moscow (1985). Traduzione in inglese: D. Reidel Publishing Co., «Mathematics and Its Applications», Dordrecht (1987). | MR 901759 | Zbl 0619.35004

[22] A. LUNARDI, Analytic semigroups and optimal regularity in parabolic problems, Birkhäuser, Basel (1995). | MR 1329547 | Zbl 0816.35001

[23] A. LUNARDI-E. SINESTRARI-W. VON WAHL, A semigroup approach to the time-dependent parabolic initial boundary value problem, Diff. Int. Eqns., 5 (1992), 1275-1306. | MR 1184027 | Zbl 0758.34048

[24] G. I. SIVASHINSKY, Nonlinear analysis of hydrodynamics instability in laminar flames - I. Derivation of basic equations, Acta Astronautica, 4 (1977), 1177-1206. | MR 502829 | Zbl 0427.76047

[25] G. I. SIVASHINSKY, On flame propagation under conditions of stoichiometry, SIAM J. Appl. Math., 39 (1980), 67-82. | MR 585829 | Zbl 0464.76055

[26] V. A. SOLONNIKOV, On the boundary value problems for linear parabolic systems of differential equations of general form, Proc. Steklov Inst. Math., 83 (1965). English transl.: Boundary Value Problems of Mathematical Physics III, O.A. Ladyzhenskaja Ed., AMS (1965). | MR 211083 | Zbl 0164.12502

[27] H. B. STEWART, Generation of analytic semigroups by strongly elliptic operators under general boundary conditions, Trans. Amer. Math. Soc., 259 (1980), 299-310. | MR 561838 | Zbl 0451.35033

[28] D. S. STEWART-G. S. S. LUDFORD, The acceleration of fast deflagration waves, Z.A.M.M., 63 (1983), 291-302. | Zbl 0564.76110

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Referenze Bibliografiche