Existence and stability of infinite time blow-up in the Keller-Segel system

knowlesi, cela soutenu par les rapports de l'échec du traitement à la méfloquine pour les singes rhésus infectés par Pknowlesi, ainsi par des cas récents

One of the most striking results for the classical Keller-Segel says that presence of a logistic source prevents a blowup of solutions, compare Tello & Winkler [48] for

Avec des phrases comme « la constance n’est bonne que pour des ridicules » (l. 14), Molière utilise un vocabulaire très provocant pour exprimer la conception très particulière

The wave equation has no new blow-up rate at the critical case, unlike NLS where new blow-up rates appear at the critical case (with respect to the conformal invariance), see Merle

The main results when dealing with the parabolic-elliptic case are: local existence without smallness assumption on the initial density, global existence under an improved

Also, we can see in [14] refined estimates near the isolated blow-up points and the bubbling behavior of the blow-up sequences.. We have

In mathematical terms this is expected to correspond to the finite time blow-up of the cell density u near one or several points, along with the formation of one or several

In [12,14,22] the existence of unbounded solutions is shown for ε > 0 and a ≡ 1, but it is not known whether the blow-up takes place in finite or infinite time.. The same approach