Stark stetige Halbgruppen und Gruppen als Lösungen von Cauchy-Problemen in der Mathematischen Physik.
Starke Lösungen semilinearer parabolischer Differentialgleichungen.
Starlike log-harmonic mappings of order .
State trajectories analysis for a class of tubular reactor nonlinear nonautonomous models.
Static electromagnetic fields in monotone media
The paper considers the static Maxwell system for a Lipschitz domain with perfectly conducting boundary. Electric and magnetic permeability ε and μ are allowed to be monotone and Lipschitz continuous functions of the electromagnetic field. The existence theory is developed in the framework of the theory of monotone operators.
Stationary incompressible bipolar fluids
Stationary p-harmonic maps into spheres
Stationary radial solutions for a quasilinear Cahn-Hilliard model in space dimensions.
Stationary Scattering Theory for Time-dependent Hamiltonians.
Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions.
Stationary solutions for a Schrödinger-Poisson system in .
Stationary solutions for generalized Boussinesq models in exterior domains.
Stationary solutions for the Cahn-Hilliard equation
Stationary solutions for the Swift-Hohenberg equation in non-uniform backgrounds
Stationary solutions of semilinear Schrödinger equations with trapping potentials in supercritical dimensions
Nonlinear Schrödinger equations are usually investigated with the use of the variational methods that are limited to energy-subcritical dimensions. Here we present the approach based on the shooting method that can give the proof of existence of the ground states in critical and supercritical cases. We formulate the assumptions on the system that are sufficient for this method to work. As examples, we consider Schrödinger-Newton and Gross-Pitaevskii equations with harmonic potentials.
Stationary solutions of the generalized Smoluchowski-Poisson equation
The existence of steady states in the microcanonical case for a system describing the interaction of gravitationally attracting particles with a self-similar pressure term is proved. The system generalizes the Smoluchowski-Poisson equation. The presented theory covers the case of the model with diffusion that obeys the Fermi-Dirac statistic.
Stationary solutions of two-dimensional heterogeneous energy models with multiple species
We investigate stationary energy models in heterostructures consisting of continuity equations for all involved species, of a Poisson equation for the electrostatic potential and of an energy balance equation. The resulting strongly coupled system of elliptic differential equations has to be supplemented by mixed boundary conditions. If the boundary data are compatible with thermodynamic equilibrium then there exists a unique steady state. We prove that in a suitable neighbourhood of such a thermodynamic...
Stationary Solutions to the Navier-Stokes Equations in Dimension Four.
Stationary states and moving planes
Most of the paper deals with the application of the moving plane method to different questions concerning stationary accumulations of isentropic gases. The first part compares the concepts of stationarity arising from the points of view of dynamics and the calculus of variations. Then certain stationary solutions are shown to be unstable. Finally, using the moving plane method, a short proof of the existence of energy-minimizing gas balls is given.
Stationary states for a two-dimensional singular Schrödinger equation
In questo articolo studiamo problemi di Dirichlet singolari, lineari e semilineari, della forma in , su , dove è un dominio in e o con (o nonlinearità più generali). In tali problemi bidimensionali emergono alcune difficoltà a causa della non validità della disuguaglianza di Hardy in e a causa delle invarianze dell'equazione . Pertanto opportune condizioni su e sono necessarie al fine di garantire l'esistenza di una soluzione positiva. Per esempio, se è una curva non costante...