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Blow-up prevention by quadratic degradation in a higher-dimensional chemotaxis-growth model with indirect attractant production - MaRDI portal

Blow-up prevention by quadratic degradation in a higher-dimensional chemotaxis-growth model with indirect attractant production (Q2090340)

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scientific article; zbMATH DE number 7606629
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English
Blow-up prevention by quadratic degradation in a higher-dimensional chemotaxis-growth model with indirect attractant production
scientific article; zbMATH DE number 7606629

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    Blow-up prevention by quadratic degradation in a higher-dimensional chemotaxis-growth model with indirect attractant production (English)
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    25 October 2022
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    The author studies a parabolic system of three equations which feature Keller-Segel chemotaxis interaction, logistic growth term and indirect chemoatractant production in bounded smooth domains in \(\mathbb R^N\). Results on the existence of global-in-time classical solutions are obtained, using a new type of energy estimates.
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    chemotaxis
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    indirect signal production
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    logistic term
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    global solutions
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