A biharmonic elliptic problem with dependence on the gradient and the Laplacian.
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Carrião, Paulo C., Faria, Luiz F.O., Miyagaki, Olímpio H. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Annibale Magni (2015)
Geometric Flows
We study the gradient flow of the L2−norm of the second fundamental form for smooth immersions of two-dimensional surfaces into compact Riemannian manifolds. By analogy with the results obtained in [10] and [11] for the Willmore flow, we prove lifespan estimates in terms of the L2−concentration of the second fundamental form of the initial data and we show the existence of blowup limits. Under special condition both on the initial data and on the target manifold, we prove a long time existence result...
Alfredo Bermudez, Carmen Rodriguez (1986/1987)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Yu, Yifeng (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Vladimír Ďurikovič, Monika Ďurikovičová (2005)
Mathematica Slovaca
Akrout, K., Khodja, B. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Laptev, G.G. (2003)
Sibirskij Matematicheskij Zhurnal
Golbabai, A., Sayevand, K. (2010)
The Journal of Nonlinear Sciences and its Applications
N. D. Kutev, I. P. Ramadanov (1990)
Annales de l'I.H.P. Analyse non linéaire
Gérard Gagneux, Ann-Marie Lefevere, Monique Madaune-Tort (1989)
Revista Matemática de la Universidad Complutense de Madrid
The aim of the paper is an analytical and numerical approach to the pseudo-compositional black-oil model for simulating a 3-D isothermal constrained polyphasic flow in porous media, taking into account realistic boundary conditions. The handling of the component conservation laws leads to a strongly coupled system including parabolic quasilinear degenerated equations and first-order hyperbolic inequalities: the introduction of unilateral problems arises from the nature of the thermodynamical equilibrium...
Knobloch, Petr, Tobiska, Lutz (1998)
Abstract and Applied Analysis
Wolfgang Tutschke (1981)
Annales Polonici Mathematici
Ayoujil, Abdesslem, El Amrouss, Abdel Rachid (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Salvatore, Addolorata, Squassina, Marco (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Tomasz Człapiński (1999)
Annales Polonici Mathematici
Karlheinz Schüffler (1984)
Manuscripta mathematica
El Amrouss, Abdelrachid, Moradi, Fouzia, Moussaoui, Mimoun (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Barreto, Rioco K., de Caldas, Cruz S.Q., Gamboa, Pedro, Limaco, Juan (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Petronije S. Milojević (1980)
Czechoslovak Mathematical Journal
Valeria Chiado'Piat, Gianni Dal Maso, Anneliese Defranceschi (1990)
Annales de l'I.H.P. Analyse non linéaire
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