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When do Keller-Segel systems with heterogeneous logistic sources admit generalized solutions? - MaRDI portal

When do Keller-Segel systems with heterogeneous logistic sources admit generalized solutions? (Q2033782)

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When do Keller-Segel systems with heterogeneous logistic sources admit generalized solutions?
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    When do Keller-Segel systems with heterogeneous logistic sources admit generalized solutions? (English)
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    17 June 2021
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    A doubly parabolic chemotaxis system with space dependent logistic type sources is considered on bounded domains of \(\mathbb R^n\). Refined conditions for the global-in-time existence of suitable weak solutions have been derived improving previous results. A recourse to generalized solutions had been important in view of poor regularity properties in general cases.
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    chemotaxis
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    distributed reaction terms
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    global-in-time solutions
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