Existence and uniform boundedness of strong solutions of the time-dependent Ginzburg-Landau equations of superconductivity.
Zaouch, Fouzi (2005)
Abstract and Applied Analysis
Santos, M.L., Ferreira, J., Raposo, C.A. (2005)
Abstract and Applied Analysis
Viorel Barbu, Irena Lasiecka, Mohammad Rammaha (2005)
Control and Cybernetics
Abdelilah Gmira (1986/1987)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Erhan Pişkin (2015)
Open Mathematics
We consider the existence, both locally and globally in time, the decay and the blow up of the solution for the extensible beam equation with nonlinear damping and source terms. We prove the existence of the solution by Banach contraction mapping principle. The decay estimates of the solution are proved by using Nakao’s inequality. Moreover, under suitable conditions on the initial datum, we prove that the solution blow up in finite time.
S. Alinhac (1986/1987)
Séminaire Équations aux dérivées partielles (Polytechnique)
Violaine Roussier-Michon (2003/2004)
Séminaire Équations aux dérivées partielles
Jean-François Léon (1987)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Teresa D'Aprile, Angela Pistoia (2009)
Annales de l'I.H.P. Analyse non linéaire
Daniel Coutand (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
A justification of the two-dimensional nonlinear “membrane” equations for a plate made of a Saint Venant-Kirchhoff material has been given by Fox et al. [9] by means of the method of formal asymptotic expansions applied to the three-dimensional equations of nonlinear elasticity. This model, which retains the material-frame indifference of the original three dimensional problem in the sense that its energy density is invariant under the rotations of , is equivalent to finding the critical points...
Kurt, Ayfer (2002)
Applied Mathematics E-Notes [electronic only]
Toumi, Faten (2006)
International Journal of Mathematics and Mathematical Sciences
V. Georgiev, K. Ianakiev (1992)
Banach Center Publications
Badraoui, Salah (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Aassila, Mohammed, Benaissa, Abbes (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Mitsuhiro Nakao, Kosuke Ono (1993)
Mathematische Zeitschrift
Afrouzi, Ghasem A., Ghorbani, Horieh (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Zeddini, Noureddine (2006)
Abstract and Applied Analysis
Ma, Qiaozhen, Wang, Binli (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Youcef Amirat, Didier Bresch, Jérôme Lemoine, Jacques Simon (1999)
Rendiconti del Seminario Matematico della Università di Padova