13 citations · 30 across the 12 of their papers we have counts for
5 papers · 1 filter
Diffusive relaxation to equilibria for an extended reaction-diffusion system on the real line
Thierry Gallay, Sinisa Slijepcevic
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 . Assuming th…
Ergodic attractors and almost-everywhere asymptotics of scalar semilinear parabolic differential equations
Sinisa Slijepcevic
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,…
Uniform boundedness and long-time asymptotics for the two-dimensional Navier-Stokes equations in an infinite cylinder
Thierry Gallay, Sinisa Slijepcevic
We study the incompressible Navier-Stokes equations in the two-dimensional strip , with periodic boundary conditions and no exterior forcing. If the initia…
Energy bounds for the two-dimensional Navier-Stokes equations in an infinite cylinder
Thierry Gallay, Sinisa Slijepcevic
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…
Distribution of Energy and Convergence to Equilibria in Extended Dissipative Systems
Thierry Gallay, Sinisa Slijepcevic
We are interested in understanding the dynamics of dissipative partial differential equations on unbounded spatial domains. We consider systems for which the energy density $e \ge…