Trends in Partial Differential Equations of Mathematical Physics

Stopping a Viscous Fluid by a Feedback Dissipative Field: Thermal Effects without Phase Changing.- Ultracontractive Bounds for Nonlinear Evolution Equations Governed by the Subcritical p-Laplacian.- Weighted L 2-spaces and Strong Solutions of the Navier-Stokes Equations in .- A Limit Model for Unidirectional Non-Newtonian Flows with Nonlocal Viscosity.- On the Problem of Thermocapillary Convection for Two Incompressible Fluids Separated by a Closed Interface.- Some Mathematical Problems in Visual Transduction.- Global Regularity in Sobolev Spaces for Elliptic Problems with p-structure on Bounded Domains.- Temperature Driven Mass Transport in Concentrated Saturated Solutions.- Solvability of a Free Boundary Problem for the Navier-Stokes Equations Describing the Motion of Viscous Incompressible Nonhomogeneous Fluid.- Duality Principles for Fully Nonlinear Elliptic Equations.- On the Bénard Problem.- Exact Boundary Controllability for Quasilinear Wave Equations.- Regularity of Euler Equations for a Class of Three-Dimensional Initial Data.- A Model of a Two-dimensional Pump.- Regularity of a Weak Solution to the Navier-Stokes Equation in Dependence on Eigenvalues and Eigenvectors of the Rate of Deformation Tensor.- Free Work and Control of Equilibrium Configurations.- Stochastic Geometry Approach to the Kinematic Dynamo Equation of Magnetohydrodynamics.- Quasi-Lipschitz Conditions in Euler Flows.- Interfaces in Solutions of Diffusion-absorption Equations in Arbitrary Space Dimension.- Estimates for Solutions of Fully Nonlinear Discrete Schemes.

Anniversary volume, honoring the Russian mathematical physicist Vsevolod A. Solonnikov Peer-reviewed contributions by specialists in the field, with emphasis on applications to mathematical fluid mechanics Includes supplementary material: sn.pub/extras