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 non-autonomous partial differential equations and their dimension
Attractors of semigroups associated with nonlinear systems for diffusive phase separation.
Attractors of Strongly Dissipative Systems
A class of infinite-dimensional dissipative dynamical systems is defined for which there exists a unique equilibrium point, and the rate of convergence to this point of the trajectories of a dynamical system from the above class is exponential. All the trajectories of the system converge to this point as t → +∞, no matter what the initial conditions are. This class consists of strongly dissipative systems. An example of such systems is provided by passive systems in network theory (see, e.g., MR0601947...
Attractors of systems under bounded perturbation
Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homogenization
Aubry sets and the differentiability of the minimal average action in codimension one
Let (x,u,∇u) be a Lagrangian periodic of period 1 in x1,...,xn,u. We shall study the non self intersecting functions u: RnR minimizing ; non self intersecting means that, if u(x0 + k) + j = u(x0) for some x0∈Rn and (k , j) ∈Zn × Z, then u(x) = u(x + k) + jx. Moser has shown that each of these functions is at finite distance from a plane u = ρx and thus has an average slope ρ; moreover, Senn has proven that it is possible to define the average action of u, which is usually called since...
Au-delà des opérateurs de Calderón-Zygmund : avancées récentes sur la théorie
Ausstrahlungsproblem des Laplace-Operators für eine Klasse der Gebiete mit unbeschränktem Rand.
Auto-Bäcklund transformation and exact analytical solutions for the Kupershmidt equation.
Autour du problème des vortex patches
Autour du théorème de Holmgren sur l'unicité de Cauchy
Autovalori di un problema ellittico dipendente da un parametro in modo non lineare
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...
Auxiliary linear problem, difference Fay identities and dispersionless limit of Pfaff-Toda hierarchy.
Averaging for non-periodic fully nonlinear equations.
Averaging of gradient in the space of linear triangular and bilinear rectangular finite elements
An averaging method for the second-order approximation of the values of the gradient of an arbitrary smooth function u = u(x 1, x 2) at the vertices of a regular triangulation T h composed both of rectangles and triangles is presented. The method assumes that only the interpolant Πh[u] of u in the finite element space of the linear triangular and bilinear rectangular finite elements from T h is known. A complete analysis of this method is an extension of the complete analysis concerning the finite...
Averaging techniques and oscillation of quasilinear elliptic equations
By using averaging techniques, some oscillation criteria for quasilinear elliptic differential equations of second order are obtained. These results extend and generalize the criteria for linear differential equations due to Kamenev, Philos and Wong.