Free Boundary Problems in Continuum Mechanics

Inhaltsverzeichnis

• 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 Euler’s and Darcy’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.