10 citations · 26 across the 5 of their papers we have counts for
5 papers
Attractors for singularly perturbed hyperbolic equations on unbounded domains
M. Prizzi, K. P. Rybakowski
For an arbitrary unbounded domain and for $\eps>0$, we consider the damped hyperbolic equations \leqno{(H_\eps)} \eps u_{tt}+ u_t+β(x)u- \sum_{ij}(a_{ij}(x) u_{x_j})…
Attractors for reaction-diffusion equations on arbitrary unbounded domains
M. Prizzi, K. P. Rybakowski
We prove existence of global attractors for parabolic equations of the form with Dirichlet boundary condition on an…
Attractors for damped hyperbolic equations on arbitrary unbounded domains
Martino Prizzi, Krzysztof P. Rybakowski
We prove existence of global attractors for damped hyperbolic equations of the form $$\aligned \eps u_{tt}+α(x) u_t+β(x)u- \sum_{ij}(a_{ij}(x) u_{x_j})_{x_i}&=f(x,u),\quad x\in Ω,…
Inertial manifolds on squeezed domains
M. Prizzi, K. P. Rybakowski
Let be an arbitrary smooth bounded domain in and be arbitrary. Squeeze by the factor in the -direction to obtain the squeezed domain $Ω_ε=\{(x,εy)\mid (…
Inertial manifolds for reaction-diffusion equations on genuinely high-dimensional thin domains
Martino Prizzi, Krzysztof P. Rybakowski
In this paper we study a family of semilinear reaction-diffusion equations on thin spatial domains, lying close to a lower dimensional submanifold . As the thickness tends to ze…