For nonnegative radially symmetric continuous initial data of mass 8π in the unit disk, the Jäger-Luckhaus system admits globally bounded classical solutions with the constant state 8 being globally exponentially asymptotically stable.
Carlen and Alessio Figalli,Stability for a GNS inequality and the log-HLS inequality, with application to the critical mass Keller-Segel equation, Duke Math
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
A note on the $8\pi$ problem of J\"ager-Luckhaus system
For nonnegative radially symmetric continuous initial data of mass 8π in the unit disk, the Jäger-Luckhaus system admits globally bounded classical solutions with the constant state 8 being globally exponentially asymptotically stable.