Remarks on the blowup and global existence for a two species chemotactic Keller–Segel system in 2
For the Keller–Segel model, it was conjectured by Childress and Percus (1984, Chemotactic
collapse in two dimensions. In Lecture Notes in Biomath. Vol. 55, Springer, Berlin …
collapse in two dimensions. In Lecture Notes in Biomath. Vol. 55, Springer, Berlin …
[BOOK][B] Singularities of solutions to chemotaxis systems
P Biler - 2019 - books.google.com
The Keller-Segel model for chemotaxis is a prototype of nonlocal systems describing
concentration phenomena in physics and biology. While the two-dimensional theory is by …
concentration phenomena in physics and biology. While the two-dimensional theory is by …
[PDF][PDF] BLOWUP IN HIGHER DIMENSIONAL TWO SPECIES CHEMOTACTIC SYSTEMS.
BLOWUP IN HIGHER DIMENSIONAL TWO SPECIES CHEMOTACTIC SYSTEMS Piotr Biler Elio
E. Espejo Ignacio Guerra (Communicated by Manuel d Page 1 COMMUNICATIONS ON …
E. Espejo Ignacio Guerra (Communicated by Manuel d Page 1 COMMUNICATIONS ON …
Sharp condition for blow-up and global existence in a two species chemotactic Keller–Segel system in 2
For the parabolic–elliptic Keller–Segel system in 2 it has been proved that if the initial mass
is less than 8π/χ, a global solution exists, and in case the initial mass is larger than 8π/χ …
is less than 8π/χ, a global solution exists, and in case the initial mass is larger than 8π/χ …
A simultaneous blow-up problem arising in tumor modeling
Although macrophages are part of the human immune system, it has been remarkably
observed in laboratory experiments that decreasing its number can slow down the tumor …
observed in laboratory experiments that decreasing its number can slow down the tumor …
A variational analysis of the Toda system on compact surfaces
In this paper we consider the Toda system of equations on a compact surface. We will give
existence results by using variational methods in a non coercive case. A key tool in our …
existence results by using variational methods in a non coercive case. A key tool in our …
Some existence results for the Toda system on closed surfaces
A Malchiodi, CB Ndiaye - Rendiconti Lincei, 2007 - ems.press
Partial differential equations. — Some existence results for the Toda system on closed
surfaces, by ANDREA MALCHIODI and CHEIK Page 1 Rend. Lincei Mat. Appl. 18 (2007) …
surfaces, by ANDREA MALCHIODI and CHEIK Page 1 Rend. Lincei Mat. Appl. 18 (2007) …
Analytical aspects of Liouville-type equations with singular sources
G Tarantello - Handbook of Differential Equations: Stationary Partial …, 2004 - Elsevier
Our interest for this class of equations has been largely motivated by the study of vortices in
various selfdual gauge field theories (see [JT, D1, D2, DJLPW, Y]), although in the …
various selfdual gauge field theories (see [JT, D1, D2, DJLPW, Y]), although in the …
Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species
EE Espejo, A Stevens, T Suzuki - 2012 - projecteuclid.org
We study an interacting system of chemotactic species in two space dimensions. First, we
show that there is a parameter region which ensures simultaneous blowup also for non …
show that there is a parameter region which ensures simultaneous blowup also for non …
Sharp conditions on global existence and blow-up in a degenerate two-species and cross-attraction system
J Carrillo Antonio, K Lin - Advances in Nonlinear Analysis, 2021 - degruyter.com
We consider a degenerate chemotaxis model with two-species and two-stimuli in dimension
d≥ 3 and find two critical curves intersecting at one point which separate the global …
d≥ 3 and find two critical curves intersecting at one point which separate the global …