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math.AP2022
Sharp well-posedness and blowup results for parabolic systems of the Keller-Segel type
Piotr Biler, Alexandre Boritchev, Lorenzo Brandolese
We study two toy models obtained after a slight modification of the nonlinearity of the usual doubly parabolic Keller-Segel system. For these toy models, both consisting of a syste…
math.AP2022★ 9 cited
Large global solutions of the parabolic-parabolic Keller-Segel system in higher dimensions
Piotr Biler, Alexandre Boritchev, Lorenzo Brandolese
We study the global existence of the parabolic-parabolic Keller-Segel system in . We prove that initial data of arbitrary size give rise to global solutions provide…