Spectral theory of nonlinear operators
Spherically symmetric solutions to a model for interface motion by interface diffusion
The existence of spherically symmetric solutions is proved for a new phase-field model that describes the motion of an interface in an elastically deformable solid, here the motion is driven by configurational forces. The model is an elliptic-parabolic coupled system which consists of a linear elasticity system and a non-linear evolution equation of the order parameter. The non-linear equation is non-uniformly parabolic and is of fourth order. One typical application is sintering.
Spingroups and spherical means II
Spingroups and spherical means III
Spinor equations in Weyl geometry
This paper deals with Dirac, twistor and Killing equations on Weyl manifolds with -spin structures. A conformal Schrödinger-Lichnerowicz formula is presented and used to derive integrability conditions for these equations. It is shown that the only non-closed Weyl manifolds of dimension greater than 3 that admit solutions of the real Killing equation are 4-dimensional and non-compact. Any Weyl manifold of dimension greater than 3, that admits a real Killing spinor has to be Einstein-Weyl.
Spinor fields on Riemannian manifolds
Square integrability of group representations on homogeneous spaces and generalized coherent states
Stability and asymptotic properties of dynamical systems in the plane
Stability and averaging properties of stochastic evolution equations
Stability of Banach algebras
Stability of numerical processes
Stability of stationary solutions of parabolic variational inequalities
Stability problems in mathematical theory of viscoelasticity
Stable, chaotic and optimal solutions of first order partial differential equations related with the cell kinetics
Stable periodic oscillations in systems with monotonous hysteresis nonlinearity
Statistique et théorie de la décision
Steady and unsteady 2D numerical solution of generalized Newtonian fluids flow
This article presents the numerical solution of laminar incompressible viscous flow in a branching channel for generalized Newtonian fluids. The governing system of equations is based on the system of balance laws for mass and momentum. The generalized Newtonian fluids differ through choice of a viscosity function. A power-law model with different values of power-law index is used. Numerical solution of the described models is based on cell-centered finite volume method using explicit Runge–Kutta...
Strongly maximal matrix functions in regions containing stable solutions
Strongly zero-dimensional spaces
Structure of connected locally compact groups