Add to ORKGAbstract: We study a model nonlinear hyperbolic equation with small parameter as a coefficient of the second-order time derivative. We show that its long time dynamics are approximated in terms of global attractors by the dynamics of the limiting parabolic equation. The proximity of the individual trajectories essentially depends on their Fourier spectrum. The obtained results might be useful for the explanation of certain effects arising in the analysis of the quasi-gasdynamics systems.Note: Research direction:Mathematical problems and theory of numerical method
The paper is devoted to a modification of the classical Cahn Hilliard equation proposed by some phys...
A singular nonlinear parabolic-hyperbolic PDE s system describ- ing the evolution of a material subj...
We consider a doubly nonlinear parabolic equation in R-n. Under suitable hypotheses we prove that a ...
Abstract: On a model example of a linear hyperbolic equation with small parameter multiply...
Long time behavior of a third order (in time) nonlinear PDE equation is considered. This type of equ...
International audienceIn this paper we study a higher order viscous quasi-geostrophic type equation....
This talk will present recent developments in the area of long time behav-ior of nonlinear flows ari...
Recent developments in the area of long time behavior of nonlinear hyperbolic flows will be presente...
In this paper, we study the long-time behaviour of solutions of Cauchy problem for the parabolic p-L...
We study the large time behavior of solutions of a class of fourth order parabolic equations de- ned...
We consider asymptotic problems for diffusion processes that rely on large deviations. In Chapter 2,...
The long-time behavior of solutions of systems of conservation laws has been extensively studied. In...
A semilinear partial differential equation of hyperbolic type with a convolution term describing sim...
We apply the dynamical approach to the study of the second order semi-linear elliptic boundary value...
We consider a family of Kirchhoff equations with a small parameter in front of the second-order time...
The paper is devoted to a modification of the classical Cahn Hilliard equation proposed by some phys...
A singular nonlinear parabolic-hyperbolic PDE s system describ- ing the evolution of a material subj...
We consider a doubly nonlinear parabolic equation in R-n. Under suitable hypotheses we prove that a ...
Abstract: On a model example of a linear hyperbolic equation with small parameter multiply...
Long time behavior of a third order (in time) nonlinear PDE equation is considered. This type of equ...
International audienceIn this paper we study a higher order viscous quasi-geostrophic type equation....
This talk will present recent developments in the area of long time behav-ior of nonlinear flows ari...
Recent developments in the area of long time behavior of nonlinear hyperbolic flows will be presente...
In this paper, we study the long-time behaviour of solutions of Cauchy problem for the parabolic p-L...
We study the large time behavior of solutions of a class of fourth order parabolic equations de- ned...
We consider asymptotic problems for diffusion processes that rely on large deviations. In Chapter 2,...
The long-time behavior of solutions of systems of conservation laws has been extensively studied. In...
A semilinear partial differential equation of hyperbolic type with a convolution term describing sim...
We apply the dynamical approach to the study of the second order semi-linear elliptic boundary value...
We consider a family of Kirchhoff equations with a small parameter in front of the second-order time...
The paper is devoted to a modification of the classical Cahn Hilliard equation proposed by some phys...
A singular nonlinear parabolic-hyperbolic PDE s system describ- ing the evolution of a material subj...
We consider a doubly nonlinear parabolic equation in R-n. Under suitable hypotheses we prove that a ...