Zobrazeno 1 - 10
of 122
pro vyhledávání: '"Slijepčević, Siniša"'
Autor:
Gallay, Thierry, Slijepcevic, Sinisa
We study the long-time behavior of the solutions of a two-component reaction-diffusion system on the real line, which describes the basic chemical reaction $A <=> 2 B$. Assuming that the initial densities of the species $A, B$ are bounded and nonnega
Externí odkaz:
http://arxiv.org/abs/2106.15137
Autor:
Slijepcevic, Sinisa
We introduce a new measure of instability of area-preserving twist diffeomorphisms, which generalizes the notions of angle of splitting of separatrices, and flux through a gap of a Cantori. As an example of application, we establish a sharp >0 lower
Externí odkaz:
http://arxiv.org/abs/1703.01815
Autor:
Slijepcevic, Sinisa
We consider dynamics of scalar semilinear parabolic equations on bounded intervals with periodic boundary conditions, and on the entire real line, with a general nonlinearity $g(t,x,u,u_x)$ either not depending on $t$, or periodic in $t$. While the t
Externí odkaz:
http://arxiv.org/abs/1608.05540
Autor:
Slijepcevic, Sinisa
We develop a variational method for constructing positive entropy invariant measures of Lagrangian systems without assuming transversal intersections of stable and unstable manifolds, and without restrictions to the size of non-integrable perturbatio
Externí odkaz:
http://arxiv.org/abs/1606.02110
Autor:
Rabar, Braslav, Slijepčević, Siniša
We consider a generalized one-dimensional chain in a periodic potential (the Frenkel-Kontorova model), with dissipative, pulsating (or ratchet) dynamics as a model of transport when the average force on the system is zero. We find lower bounds on the
Externí odkaz:
http://arxiv.org/abs/1512.04345
Autor:
Slijepcevic, Sinisa
We rigorously show that dissipatively driven Frenkel-Kontorova models with either uniform or time-periodic driving asymptotically synchronize for a wide range of initial conditions. The main tool is a new Lyapunov function, as well as a 2D representa
Externí odkaz:
http://arxiv.org/abs/1411.0305
Autor:
Gallay, Thierry, Slijepcevic, Sinisa
We study the incompressible Navier-Stokes equations in the two-dimensional strip $\mathbb{R} \times [0,L]$, with periodic boundary conditions and no exterior forcing. If the initial velocity is bounded, we prove that the solution remains uniformly bo
Externí odkaz:
http://arxiv.org/abs/1402.6563
Autor:
Gallay, Thierry, Slijepcevic, Sinisa
We consider the incompressible Navier-Stokes equations in the cylinder $\R \times \T$, with no exterior forcing, and we investigate the long-time behavior of solutions arising from merely bounded initial data. Although we do not know if such solution
Externí odkaz:
http://arxiv.org/abs/1308.1544