Weak stabilization of solutions to PDEs with hysteresis in thermovisco-elastoplasticity
Krejčí, Pavel, Sprekels, Jürgen
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Krejčí, Pavel, Sprekels, Jürgen
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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.
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...
Guo Wang Chen, Shu Bin Wang (1995)
Commentationes Mathematicae Universitatis Carolinae
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The existence and uniqueness of classical global solution and blow up of non-global solution to the first boundary value problem and the second boundary value problem for the equation are proved. Finally, the results of the above problem are applied to the equation arising from nonlinear waves in elastic rods
Ammari, Kais (2002)
Portugaliae Mathematica. Nova Série
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Soufyane, Abdelaziz, Afilal, Mounir, Chacha, Mama (2009)
Abstract and Applied Analysis
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