Mesure invariante d'une equation integrale stochastique a coefficients periodiques et applications a un modele d'epidemiologie

We consider a stochastic integral equation, whose coe cients are periodic in time. Under a suitable condition we prove the existence of an invariant mesure for this stochastic equation. This invariant mesure is constructed on a Banach space of continuous functions. We study also its application to an epidemiologic model of malaria, which concerns the infected population and the vector population

The Physics of the B Factories

This work is on the Physics of the B Factories. Part A of this book contains a brief description of the SLAC and KEK B Factories as well as their detectors, BaBar and Belle, and data taking related issues. Part B discusses tools and methods used by the experiments in order to obtain results. The results themselves can be found in Part C

Stability of the equilibrium state of the equation system of a viscous barotropic gas in the model of atmosphere

We consider the system of equations of viscous gas motion whose pressure is related to the density by the law p=hϱγ with 1<γ <2, in a domain defined by two levels of geopotential. Under the force due to geopotential and the Coriolis force, we prove the stability of the equilibrium state in a suitable Sobolev spac

Solution to the stationary problem of glacier dynamics

A stationary problem of the non-Newtonian fluid dynamics is applied to the modeling of an alpine glacier motion with Dirichlet boundary conditions corresponding to the ice increment in the upper part of the glacier and to the ice meltdown in its lower part. The existence of a weak solution in a functional class with the first-order derivatives integrable to the power q > 6/5 is established for sufficiently small given boundary data. The proof is largely based on regularizing weak solutions and using properties of monotone operators. © 2010 Pleiades Publishing, Ltd

Solution to the stationary problem of glacier dynamics

A stationary problem of the non-Newtonian fluid dynamics is applied to the modeling of an alpine glacier motion with Dirichlet boundary conditions corresponding to the ice increment in the upper part of the glacier and to the ice meltdown in its lower part. The existence of a weak solution in a functional class with the first-order derivatives integrable to the power q > 6/5 is established for sufficiently small given boundary data. The proof is largely based on regularizing weak solutions and using properties of monotone operators. © 2010 Pleiades Publishing, Ltd