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We study the global existence of solutions to an $n$-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth. We introduce superlinear production of a chemoattractant. We then show the global existence… Click to show full abstract
We study the global existence of solutions to an $n$-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth. We introduce superlinear production of a chemoattractant. We then show the global existence of solutions in $L_p$ space $( p > n )$ under certain relations between the degradation and production orders.
Keywords:
global existence;
production;
solutions dimensional;
dimensional parabolic;
existence solutions
Journal Title: Osaka Journal of Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Osaka Journal of Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!