On the parabolic‐elliptic Keller–Segel system with signal‐dependent motilities: A paradigm for global boundedness and steady states
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7455
Abstract: This paper is concerned with a parabolic‐elliptic Keller–Segel system where both diffusive and chemotactic coefficients (motility functions) depend on the chemical signal density. This system was originally proposed by Keller and Segel to describe the… read more here.
Keywords: keller segel; system; segel system; signal dependent ... See more keywords
Criteria on global boundedness versus finite time blow-up to a two-species chemotaxis system with two chemicals*
Sign Up to like & getrecommendations! Published in 2018 at "Nonlinearity"
DOI: 10.1088/1361-6544/aa96c9
Abstract: This paper considers the two-species chemotaxis system with two chemicals in a smooth bounded domain , subject to the non-flux boundary condition, and . We obtain a blow-up criterion that if , then there exist… read more here.
Keywords: finite time; time blow; system; global boundedness ... See more keywords