Attracteurs compacts pour des problèmes d'évolution sans unicité
Attractors for a class of doubly nonlinear parabolic systems.
Attractors for nonautonomous multivalued evolution systems generated by time-dependent subdifferentials.
Attractors for stochastic reaction-diffusion equation with additive homogeneous noise
We study the asymptotic behaviour of solutions of a reaction-diffusion equation in the whole space driven by a spatially homogeneous Wiener process with finite spectral measure. The existence of a random attractor is established for initial data in suitable weighted -space in any dimension, which complements the result from P. W. Bates, K. Lu, and B. Wang (2013). Asymptotic compactness is obtained using elements of the method of short trajectories.
Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials.
Attractors of multivalued semiflows generated by differential inclusions and their approximations.
Attractors of nonautonomous and stochastic differential inclusions
Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homogenization
Autowaves in the Model of Infiltrative Tumour Growth with Migration-Proliferation Dichotomy
A mathematical model of infiltrative tumour growth is investigated taking into account transitions between two possible states of malignant cells: proliferation and migration. These transitions are considered to depend on oxygen level in a threshold manner where high oxygen concentration allows cell proliferation, while concentration below a certain critical value induces cell migration. The infiltrative tumour spreading rate dependence on model parameters is obtained. It is shown that the tumour...
Averaging for non-periodic fully nonlinear equations.
Axiomatique des fonctions biharmoniques. II
Dans un espace biharmonique, on définit un balayage de couples de mesures et, en particulier, on retrouve les trois mesures du problème de Riquier. Une de ces mesures n’étant pas harmonique, son étude présente un certain intérêt. On établit, dans ce cadre, des inégalités de type Harnack et on introduit les fonctions hyperharmoniques d’ordre 2. Le problème de la construction d’un espace biharmonique à partir de deux espaces harmoniques est aussi étudié. Enfin, on donne des applications de la théorie...