Global existence and uniqueness of strong solutions for the magnetohydrodynamic equations.
Zhang, Jianwen (2008)
Boundary Value Problems [electronic only]
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Zhang, Jianwen (2008)
Boundary Value Problems [electronic only]
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Pavel Krejčí (2010)
Mathematica Bohemica
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The paper deals with a model for water freezing in a deformable elastoplastic container. The mathematical problem consists of a system of one parabolic equation for temperature, one integrodifferential equation with a hysteresis operator for local volume increment, and one differential inclusion for the water content. The problem is shown to admit a unique global uniformly bounded weak solution.
Liu, Changchun, Guan, Yujing, Wang, Zhao (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Zlotnik, Alexander (2006)
Abstract and Applied Analysis
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Ames, K.A., Payne, L.E. (1999)
Journal of Inequalities and Applications [electronic only]
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Tatar, Nasser-Eddine (2005)
International Journal of Mathematics and Mathematical Sciences
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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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Bernard Ducomet (2002)
Applications of Mathematics
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We consider a simplified one-dimensional thermal model of nuclear matter, described by a system of Navier-Stokes-Poisson type, with a non monotone equation of state due to an effective nuclear interaction. We prove the existence of globally defined (large) solutions of the corresponding free boundary problem, with an exterior pressure which is not required to be positive, provided sufficient thermal dissipation is present. We give also a partial description of the asymptotic behaviour...
Biollay, Yves (1980)
International Journal of Mathematics and Mathematical Sciences
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