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Dynamics of two-compartment Gray-Scott equations - MaRDI portal

Dynamics of two-compartment Gray-Scott equations (Q629312)

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scientific article; zbMATH DE number 5862821
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English
Dynamics of two-compartment Gray-Scott equations
scientific article; zbMATH DE number 5862821

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    Dynamics of two-compartment Gray-Scott equations (English)
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    9 March 2011
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    The author shows the existence of a global attractor for a pair of coupled two-compartment Gray-Scott equations with homogeneous Neumann conditions on a bounded domain in~\(\mathbb R^d\), \(d\leq3\), with locally Lipschitz boundary. The attractor is shown to have finite fractal and Hausdorff dimension.
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    Gray-Scott equations
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    global attractor
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    absorbing set
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    Hausdorff dimension
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    fractal dimension
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