Singularity methods for magnetohydrodynamics.
Alawneh, A.D, Shawagfeh, N.T. (1986)
International Journal of Mathematics and Mathematical Sciences
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Alawneh, A.D, Shawagfeh, N.T. (1986)
International Journal of Mathematics and Mathematical Sciences
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Kamyar Malakpoor, Enrique F. Kaasschieter, Jacques M. Huyghe (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
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The swelling and shrinkage of biological tissues are modelled by a four-component mixture theory in which a deformable and charged porous medium is saturated with a fluid with dissolved ions. Four components are defined: solid, liquid, cations and anions. The aim of this paper is the construction of the Lagrangian model of the four-component system. It is shown that, with the choice of Lagrangian description of the solid skeleton, the motion of the other components can be described...
O'Brien, S.B.G., Hayes, M. (2002)
International Journal of Mathematics and Mathematical Sciences
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Hayes, M.A., O'Brien, S.B.G. (2004)
International Journal of Mathematics and Mathematical Sciences
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Ewa Zadrzyńska, Wojciech M. Zajączkowski (1995)
Annales Polonici Mathematici
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We derive a global differential inequality for solutions of a free boundary problem for a viscous compressible heat conducting fluid. The inequality is essential in proving the global existence of solutions.
Ewa Zadrzyńska (1999)
Applicationes Mathematicae
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The motion of a fixed mass of a viscous compressible heat conducting capillary fluid is examined. Assuming that the initial data are sufficiently close to a constant state and the external force vanishes we prove the existence of a global-in-time solution which is close to the constant state for any moment of time. Moreover, we present an analogous result for the case of a barotropic viscous compressible fluid.
Franců, Jan (1998)
Abstract and Applied Analysis
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Shi, Yongdong, Du, Liangsheng (2001)
International Journal of Mathematics and Mathematical Sciences
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Hans Lindblad (2000-2001)
Séminaire Équations aux dérivées partielles
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