Existence and uniform decay for a nonlinear beam equation with nonlinearity of Kirchhoff type in domains with moving boundary.
Santos, M.L., Ferreira, J., Raposo, C.A. (2005)
Abstract and Applied Analysis
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Santos, M.L., Ferreira, J., Raposo, C.A. (2005)
Abstract and Applied Analysis
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Soufyane, Abdelaziz, Afilal, Mounir, Chacha, Mama (2009)
Abstract and Applied Analysis
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Limaco Ferrel, J., Medeiros, L.A. (1999)
Portugaliae Mathematica
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Zaouch, Fouzi (2005)
Abstract and Applied Analysis
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Giorgi, Tiziana, O'Leary, Mike (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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De Lima Santos, Mauro (2002)
Abstract and Applied Analysis
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Santos, M.L., Rocha, M.P.C., Pereira, D.C., Ferreira, J. (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Gür, Şevket (2010)
Journal of Inequalities and Applications [electronic only]
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Aassila, Mohammed (1998)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Shujun You, Boling Guo, Xiaoqi Ning (2012)
Applications of Mathematics
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This paper considers the existence and uniqueness of the solution to the initial boundary value problem for a class of generalized Zakharov equations in dimensions, and proves the global existence of the solution to the problem by a priori integral estimates and the Galerkin method.
Wojciech M. Zajączkowski
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We consider the motion of a viscous compressible barotropic fluid in bounded by a free surface which is under constant exterior pressure. For a given initial density, initial domain and initial velocity we prove the existence of local-in-time highly regular solutions. Next assuming that the initial density is sufficiently close to a constant, the initial pressure is sufficiently close to the external pressure, the initial velocity is sufficiently small and the external force vanishes...