Minimal Mass Blowup Solutions for the Patlak‐Keller‐Segel Equation. Issue 10 (16th August 2018)
- Record Type:
- Journal Article
- Title:
- Minimal Mass Blowup Solutions for the Patlak‐Keller‐Segel Equation. Issue 10 (16th August 2018)
- Main Title:
- Minimal Mass Blowup Solutions for the Patlak‐Keller‐Segel Equation
- Authors:
- Ghoul, Tej‐Eddine
Masmoudi, Nader - Abstract:
- Abstract: We consider the parabolic‐elliptic Patlak‐Keller‐Segel (PKS) model of chemotactic aggregation in two space dimensions which describes the aggregation of bacteria under chemotaxis. When the mass is equal to 8π and the second moment is finite (the doubly critical case), we give a precise description of the dynamic as time goes to infinity and extract the limiting profile and speed. The proof shows that this dynamic is stable under perturbations. © 2018 Wiley Periodicals, Inc.
- Is Part Of:
- Communications on pure and applied mathematics. Volume 71:Issue 10(2018:Oct.)
- Journal:
- Communications on pure and applied mathematics
- Issue:
- Volume 71:Issue 10(2018:Oct.)
- Issue Display:
- Volume 71, Issue 10 (2018)
- Year:
- 2018
- Volume:
- 71
- Issue:
- 10
- Issue Sort Value:
- 2018-0071-0010-0000
- Page Start:
- 1957
- Page End:
- 2015
- Publication Date:
- 2018-08-16
- Subjects:
- Mathematics -- Periodicals
Mechanics -- Periodicals
Mathématiques -- Périodiques
Mécanique -- Périodiques
510.5 - Journal URLs:
- http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312 ↗
http://onlinelibrary.wiley.com/ ↗ - DOI:
- 10.1002/cpa.21787 ↗
- Languages:
- English
- ISSNs:
- 0010-3640
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3363.000000
British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 14174.xml