-
1
-
-
50849123026
-
A class of kinetic models for chemotaxis with threshold to prevent overcrowding
-
F.A.C.C. Chalub and J.F. Rodrigues, A class of kinetic models for chemotaxis with threshold to prevent overcrowding, Port. Math. 63(2) (2006), 227-250.
-
(2006)
Port. Math.
, vol.63
, Issue.2
, pp. 227-250
-
-
Chalub, F.A.C.C.1
Rodrigues, J.F.2
-
2
-
-
33750624355
-
Quasilinear nonuniformly parabolic system modelling chemotaxis
-
T. Ciéslak, Quasilinear nonuniformly parabolic system modelling chemotaxis, J. Math. Anal. Appl. 326 (2007), 1410-1426.
-
(2007)
J. Math. Anal. Appl.
, vol.326
, pp. 1410-1426
-
-
Ciéslak, T.1
-
3
-
-
33644610345
-
The Keller-Segel model with logistic sensitivity function and small diffusivity
-
Y. Dolak and C. Schmeiser, The Keller-Segel model with logistic sensitivity function and small diffusivity, SIAM J. Appl. Math. 66(1) (2005), 286-308.
-
(2005)
SIAM J. Appl. Math.
, vol.66
, Issue.1
, pp. 286-308
-
-
Dolak, Y.1
Schmeiser, C.2
-
4
-
-
1842843827
-
A non-smooth version of the Lojasiewicz-Simon theorem with applications to non-local phase-field systems
-
E. Feireisl, F. Issard-Roch and H. Petzeltová, A non-smooth version of the Lojasiewicz-Simon theorem with applications to non-local phase-field systems, J. Differential Equations 199 (2004), 1-21.
-
(2004)
J. Differential Equations
, vol.199
, pp. 1-21
-
-
Feireisl, E.1
Issard-Roch, F.2
Petzeltová, H.3
-
5
-
-
34247108617
-
On convergence to equilibria for the Keller-Segel chemotaxis model
-
E. Feireisl, Ph. Laurençot and H. Petzeltová, On convergence to equilibria for the Keller-Segel chemotaxis model, J. Differential Equations 236 (2007), 551-569.
-
(2007)
J. Differential Equations
, vol.236
, pp. 551-569
-
-
Feireisl, E.1
Laurençot, Ph.2
Petzeltová, H.3
-
6
-
-
0032445844
-
Global behaviour of a reaction-diffusion system modelling chemotaxis
-
H. Gajewski and K. Zacharias, Global behaviour of a reaction-diffusion system modelling chemotaxis, Math. Nachr. 195 (1998), 77-114.
-
(1998)
Math. Nachr.
, vol.195
, pp. 77-114
-
-
Gajewski, H.1
Zacharias, K.2
-
8
-
-
84967780428
-
Stability results for a diffusion equation with functional drift approximating a chemotaxis model
-
J.M. Greenberg and W. Alt, Stability results for a diffusion equation with functional drift approximating a chemotaxis model, Trans. Amer. Math. Soc. 300(1) (1987), 235-258.
-
(1987)
Trans. Amer. Math. Soc.
, vol.300
, Issue.1
, pp. 235-258
-
-
Greenberg, J.M.1
Alt, W.2
-
9
-
-
0003304963
-
Geometric theory of semilinear parabolic equations
-
Springer, Berlin
-
D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, Vol.840, Springer, Berlin, 1981.
-
(1981)
Lecture Notes in Mathematics
, vol.840
-
-
Henry, D.1
-
10
-
-
0001404830
-
Global existence for a parabolic chemotaxis model with prevention of overcrowding
-
T. Hillen and K. Painter, Global existence for a parabolic chemotaxis model with prevention of overcrowding, Adv. Appl. Math. 26 (2001), 280-301.
-
(2001)
Adv. Appl. Math.
, vol.26
, pp. 280-301
-
-
Hillen, T.1
Painter, K.2
-
11
-
-
4744373195
-
The one-dimensional chemotaxis model: Global existence and asymptotic profile
-
T. Hillen and A. Potapov, The one-dimensional chemotaxis model: Global existence and asymptotic profile, Math. Meth. Appl. Sci. 27 (2004), 1783-1801.
-
(2004)
Math. Meth. Appl. Sci.
, vol.27
, pp. 1783-1801
-
-
Hillen, T.1
Potapov, A.2
-
12
-
-
4744373150
-
Until present: The Keller-Segel model in chemotaxis and its consequences, i
-
D. Horstmann, From 1970 until present: The Keller-Segel model in chemotaxis and its consequences, I, Jahresber. Deutsch. Math.-Verein. 105 (2003), 103-165.
-
(1970)
Jahresber. Deutsch. Math.-Verein.
, vol.105
, pp. 103-165
-
-
Horstmann From, D.1
-
13
-
-
13844288282
-
From 1970 until present: The Keller-Segel model in chemotaxis and its consequences, II
-
D. Horstmann, From 1970 until present: The Keller-Segel model in chemotaxis and its consequences, II, Jahresber. Deutsch. Math.-Verein. 106 (2004), 51-69.
-
(2004)
Jahresber. Deutsch. Math.-Verein.
, vol.106
, pp. 51-69
-
-
Horstmann, D.1
-
14
-
-
18144371222
-
Boundedness vs. blow-up in a chemotaxis system
-
D. Horstmann and M. Winkler, Boundedness vs. blow-up in a chemotaxis system, J. Differential Equations 215 (2005), 52-107.
-
(2005)
J. Differential Equations
, vol.215
, pp. 52-107
-
-
Horstmann, D.1
Winkler, M.2
-
15
-
-
0014748565
-
Initiation of slime mold aggregation viewed as an instability
-
E. Keller and L. Segel, Initiation of slime mold aggregation viewed as an instability, J. Theoret. Biol. 26 (1970), 399-415.
-
(1970)
J. Theoret. Biol.
, vol.26
, pp. 399-415
-
-
Keller, E.1
Segel, L.2
-
16
-
-
44549087932
-
Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system
-
H. Kozono and Y. Sugiyama, Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system, J. Evol. Equ. 8 (2008), 353-378.
-
(2008)
J. Evol. Equ.
, vol.8
, pp. 353-378
-
-
Kozono, H.1
Sugiyama, Y.2
-
17
-
-
0000687738
-
Chemotactic collapse in a parabolic system of mathematical biology
-
T. Nagai, T. Senba and T. Suzuki, Chemotactic collapse in a parabolic system of mathematical biology, HiroshimaMath. J. 30 (2000), 463-497.
-
(2000)
HiroshimaMath. J.
, vol.30
, pp. 463-497
-
-
Nagai, T.1
Senba, T.2
Suzuki, T.3
-
18
-
-
0001205112
-
Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis
-
T. Nagai, T. Senba and K. Yoshida, Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis, Funkcial. Ekvac. 40 (1997), 411-433.
-
(1997)
Funkcial. Ekvac.
, vol.40
, pp. 411-433
-
-
Nagai, T.1
Senba, T.2
Yoshida, K.3
-
19
-
-
4944248574
-
Volume-filling and quorum-sensing in models for chemosensitive movement
-
K. Painter and T. Hillen, Volume-filling and quorum-sensing in models for chemosensitive movement, Can. Appl.Math. Q. 10 (2002), 501-543.
-
(2002)
Can. Appl.Math. Q.
, vol.10
, pp. 501-543
-
-
Painter, K.1
Hillen, T.2
-
20
-
-
51249193541
-
Random walk with persistence and external bias
-
C.S. Patlak, Random walk with persistence and external bias, Bull. Math. Biophys. 15 (1953), 311-338.
-
(1953)
Bull. Math. Biophys.
, vol.15
, pp. 311-338
-
-
Patlak, C.S.1
-
22
-
-
0001373727
-
Stationary solutions of chemotaxis systems
-
R. Schaaf, Stationary solutions of chemotaxis systems, Trans. Amer. Math. Soc. 292 (1985), 531-556.
-
(1985)
Trans. Amer. Math. Soc.
, vol.292
, pp. 531-556
-
-
Schaaf, R.1
-
25
-
-
34848920328
-
Classical solutions and pattern formation for a volume filling chemotaxis model
-
Z.Wang and T. Hillen, Classical solutions and pattern formation for a volume filling chemotaxis model, Chaos 17 (2007), 037108.
-
(2007)
Chaos
, vol.17
, pp. 037108
-
-
Wang, Z.1
Hillen, T.2
-
26
-
-
9244236567
-
Global attractor for a chemotaxis model with prevention of overcrowding
-
D. Wrzosek, Global attractor for a chemotaxis model with prevention of overcrowding, Nonlinear Anal. 59 (2004), 1293-1310.
-
(2004)
Nonlinear Anal
, vol.59
, pp. 1293-1310
-
-
Wrzosek, D.1
-
27
-
-
33646266962
-
Long-time behaviour of solutions to a chemotaxis model with volume-filling effect
-
D. Wrzosek, Long-time behaviour of solutions to a chemotaxis model with volume-filling effect, Proc. Roy. Soc. Edinburgh 136A (2006), 431-444.
-
(2006)
Proc. Roy. Soc. Edinburgh
, vol.136 A
, pp. 431-444
-
-
Wrzosek, D.1
-
29
-
-
73849138636
-
The steady states and convergence to equilibria for a 1-D chemotaxis model with volume-filling effect
-
DOI:10.1002/mma.1147
-
Y. Zhang, The steady states and convergence to equilibria for a 1-D chemotaxis model with volume-filling effect, Math. Method. Appl. Sci., DOI: 10.1002/mma.1147.
-
Math. Method. Appl. Sci.
-
-
Zhang, Y.1
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