K. P. Rybakowski

most citedInertial manifolds on squeezed domains

10 citations · 11 across the 2 of their papers we have counts for

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math.AP2002★ 10 cited

Inertial manifolds on squeezed domains

M. Prizzi, K. P. Rybakowski

Let $Ω$ be an arbitrary smooth bounded domain in $R^{2}$ and $ε > 0$ be arbitrary. Squeeze $Ω$ by the factor $ε$ in the $y$ -direction to obtain the squeezed domain $Ω_ε=\{(x,εy)\mid (…

math.AP2002★ 1 cited

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 $M$ . As the thickness tends to ze…