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TitleFree Boundary Problems in Continuum Mechanics [electronic resource] : International Conference on Free Boundary Problems in Continuum Mechanics, Novosibirsk, July 15-19,1991 / edited by S. N. Antontsev, A. M. Khludnev, K.-H. Hoffmann
ImprintBasel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1992
Connect tohttp://dx.doi.org/10.1007/978-3-0348-8627-7
Descript IX, 358 p. online resource

CONTENT

Some extremum and unilateral boundary value problems in viscous hydrodynamics -- On axisymmetric motion of the fluid with a free surface -- On the occurrence of singularities in axisymmetrical problems of hele-shaw type -- New asymptotic method for solving of mixed boundary value problems -- Some results on the thermistor problem -- New applications of energy methods to parabolic and elliptic free boundary problems -- A localized finite element method for nonlinear water wave problems -- Approximate method of investigation of normal oscillations of viscous incompressible liquid in container -- The classical Stefan problem as the limit case of the Stefan problem with a kinetic condition at the free boundary -- A mathematical model of oscillations energy dissipation of viscous liquid in a tank -- Existence of the classical solution of a two-phase multidimensional Stefan problem on any finite time interval -- Asymptotic theory of propagation of nonstationary surface and internal waves over uneven bottom -- Multiparametric problems of two-dimensional free boundary seepage -- Nonisothermal two-phase filtration in porous media -- Explicit solution of time-dependent free boundary problems -- Nonequilibrium phase transitions in frozen grounds -- System of variational inequalities arising in nonlinear diffusion with phase change -- Contact viscoelastoplastic problem for a beam -- Application of a finite-element method to two-dimensional contact problems -- Computations of a gas bubble motion in liquid -- Waves on the liquid-gas free surface in the presence of the acoustic field in gas -- Smooth bore in a two-layer fluid -- Numerical calculation of movable free and contact boundaries in problems of dynamic deformation of viscoelastic bodies -- On the canonical variables for two-dimensional vortex hydrodynamics of incompressible fluid -- About the method with regularization for solving the contact problem in elasticity -- Space evolution of tornado-like vortex core -- Optimal shape design for parabolic system and two-phase Stefan problem -- Incompressible fluid flows with free boundary and the methods for their research -- On the Stefan problems for the system of equations arising in the modelling of liquid-phase epitaxy processes -- Stefan problem with surface tension as a limit of the phase field model -- The modelization of transformation phase via the resolution of an inclusion problem with moving boundary -- To the problem of constructing weak solutions in dynamic elastoplasticity -- The justification of the conjugate conditions for the Eulerโ{128}{153}s and Darcyโ{128}{153}s equations -- On an evolution problem of thermo-capillary convection -- Front tracking methods for one-dimensional moving boundary problems -- On Cauchy problem for long wave equations -- On fixed point (trial) methods for free boundary problems -- Nonlinear theory of dynamics of a viscous fluid with a free boundary in the process of a solid body wetting


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