-
1
-
-
0000657461
-
Local and global solvability of some parabolic systems modelling chemotaxis
-
P. Biler, Local and global solvability of some parabolic systems modelling chemotaxis, AMSA 8 (1998) 715-743.
-
(1998)
AMSA
, vol.8
, pp. 715-743
-
-
Biler, P.1
-
2
-
-
0001580322
-
Global solution to some parabolic-elliptic systems of chemotaxis
-
P. Biler, Global solution to some parabolic-elliptic systems of chemotaxis, AMSA 9 (1999) 347-359.
-
(1999)
AMSA
, vol.9
, pp. 347-359
-
-
Biler, P.1
-
3
-
-
0019784884
-
Nonlinear aspects of chemotaxis
-
S. Childress and J. K. Percus, Nonlinear aspects of chemotaxis, Math. Biosci. 56 (1981) 217-237.
-
(1981)
Math. Biosci.
, vol.56
, pp. 217-237
-
-
Childress, S.1
Percus, J.K.2
-
4
-
-
0000426130
-
Symmetrization in a parabolic-elliptic system related to chemotaxis
-
J. I. Diaz and T. Nagai, Symmetrization in a parabolic-elliptic system related to chemotaxis, Adv. Math. Sci. Appl. 5 (1995) 659-680.
-
(1995)
Adv. Math. Sci. Appl.
, vol.5
, pp. 659-680
-
-
Diaz, J.I.1
Nagai, T.2
-
5
-
-
0032445844
-
Global behaviour of reaction diffusion systems modelling chemotaxis
-
H. Gagewsky and K. Zacharias, Global behaviour of reaction diffusion systems modelling chemotaxis, Math. Nachr. 195 (1998) 77-114.
-
(1998)
Math. Nachr.
, vol.195
, pp. 77-114
-
-
Gagewsky, H.1
Zacharias, K.2
-
6
-
-
0011191287
-
Asymptotic properties of reaction diffusion systems modelling chemotaxis
-
ed. R. Spigler (Kluwer)
-
M. A. Herrero, Asymptotic properties of reaction diffusion systems modelling chemotaxis, in Applied and Industrial Mathematics, ed. R. Spigler (Kluwer, 2000), pp. 89-97.
-
(2000)
Applied and Industrial Mathematics
, pp. 89-97
-
-
Herrero, M.A.1
-
8
-
-
0039712703
-
Singularity pattern in a chemotaxis model
-
M. A. Herrero and J. J. L. Velázquez, Singularity pattern in a chemotaxis model, Math. Ann. 306 (1996) 583-623.
-
(1996)
Math. Ann.
, vol.306
, pp. 583-623
-
-
Herrero, M.A.1
Velázquez, J.J.L.2
-
9
-
-
0030334089
-
Chemotactic collapse for the Keller-Segel model
-
M. A. Herrero and J. J. L. Velázquez, Chemotactic collapse for the Keller-Segel model, J. Math. Biol. 35 (1996) 177-194.
-
(1996)
J. Math. Biol.
, vol.35
, pp. 177-194
-
-
Herrero, M.A.1
Velázquez, J.J.L.2
-
11
-
-
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
-
12
-
-
0011248009
-
The nonsymmetric case of the Keller-Segel model in chemotaxis: Some recent results
-
D. Horstmann, The nonsymmetric case of the Keller-Segel model in chemotaxis: some recent results, NoDEA 8 (2001) 399-423.
-
(2001)
NoDEA
, vol.8
, pp. 399-423
-
-
Horstmann, D.1
-
13
-
-
0036581096
-
On the existence of radially symmetric blow-up solutions for the Keller-Segel model
-
D. Horstmann, On the existence of radially symmetric blow-up solutions for the Keller-Segel model, J. Math. Biol. 44 (2002) 463-478.
-
(2002)
J. Math. Biol.
, vol.44
, pp. 463-478
-
-
Horstmann, D.1
-
15
-
-
0035646454
-
Blow-up in a chemotaxis model without symmetry assumptions
-
D. Horstmann and G. Wang, Blow-up in a chemotaxis model without symmetry assumptions, Euro. J. Appl. Math. 12 (2001) 159-177.
-
(2001)
Euro. J. Appl. Math.
, vol.12
, pp. 159-177
-
-
Horstmann, D.1
Wang, G.2
-
16
-
-
84966208077
-
On explosions of solutions to a system of partial differential equations modelling chemotaxis
-
W. Jäger and S. Luckhaus, On explosions of solutions to a system of partial differential equations modelling chemotaxis, Trans. Amer. Math. Soc. 329 (1992) 819-824.
-
(1992)
Trans. Amer. Math. Soc.
, vol.329
, pp. 819-824
-
-
Jäger, W.1
Luckhaus, S.2
-
17
-
-
0014748565
-
Initiation of slime mold aggregation viewed as an instability
-
E. F. Keller and L. A. Segel, Initiation of slime mold aggregation viewed as an instability, J. Theor. Biol. 26 (1970) 399-415.
-
(1970)
J. Theor. Biol.
, vol.26
, pp. 399-415
-
-
Keller, E.F.1
Segel, L.A.2
-
18
-
-
0031162898
-
A system of reaction diffusion equations arising in the theory of reinforced random walks
-
H. A. Levine and B. D. Sleeman, A system of reaction diffusion equations arising in the theory of reinforced random walks, SIAM J. Appl. Math. 57 (1997) 683-730.
-
(1997)
SIAM J. Appl. Math.
, vol.57
, pp. 683-730
-
-
Levine, H.A.1
Sleeman, B.D.2
-
19
-
-
0000911254
-
Blow-up of radially symmetric solutions to a chemotaxis system
-
T. Nagai, Blow-up of radially symmetric solutions to a chemotaxis system, Adv. Math. Sci. Appl. 5 (1995) 1-21.
-
(1995)
Adv. Math. Sci. Appl.
, vol.5
, pp. 1-21
-
-
Nagai, T.1
-
20
-
-
0001497848
-
Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis
-
T. Nagai and T. Senba, Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis, Adv. Math. Sci. Appl. 8 (1998) 145-156.
-
(1998)
Adv. Math. Sci. Appl.
, vol.8
, pp. 145-156
-
-
Nagai, T.1
Senba, T.2
-
21
-
-
0015757937
-
Chemotaxis, signal relaying and aggregation morphology
-
V. Nandjudiah, Chemotaxis, signal relaying and aggregation morphology, J. Theor. Biol. 4 (1973) 63-105.
-
(1973)
J. Theor. Biol.
, vol.4
, pp. 63-105
-
-
Nandjudiah, V.1
-
22
-
-
0031207030
-
Aggregation, blow-up and collapse: The ABC's of taxis in reinforced random walks
-
H. G. Othmer and A. Stevens, Aggregation, blow-up and collapse: the ABC's of taxis in reinforced random walks, SIAM J. Appl. Math. 57 (1997) 1044-1081.
-
(1997)
SIAM J. Appl. Math.
, vol.57
, pp. 1044-1081
-
-
Othmer, H.G.1
Stevens, A.2
-
23
-
-
7444248945
-
A free boundary problem arising in chemotaxis
-
M. Primicerio and B. Zaltzman, A free boundary problem arising in chemotaxis, Adv. Math. Sci. Appl. 12 (2002) 685-708.
-
(2002)
Adv. Math. Sci. Appl.
, vol.12
, pp. 685-708
-
-
Primicerio, M.1
Zaltzman, B.2
-
24
-
-
7444249541
-
Free boundary in radial-symmetric chemotaxis
-
eds. Monaco et al. (World Scientific)
-
M. Primicerio and B. Zaltzman, Free boundary in radial-symmetric chemotaxis, in Proc. WASCOM2001, eds. Monaco et al. (World Scientific, 2002).
-
(2002)
Proc. WASCOM2001
-
-
Primicerio, M.1
Zaltzman, B.2
-
25
-
-
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
-
26
-
-
3042708227
-
Global behaviour of solution branches for some Neumann problems depending on one or several parameters
-
R. Schaaf, Global behaviour of solution branches for some Neumann problems depending on one or several parameters, J. Reine Angew. Math. 46 (1984) 1-31.
-
(1984)
J. Reine Angew. Math.
, vol.46
, pp. 1-31
-
-
Schaaf, R.1
-
27
-
-
0345381421
-
Mathematical models for cellular behavior
-
eds. Bard et al. (Cambridge Univ. Press)
-
S. L. Segel, Mathematical models for cellular behavior, in Mathematical Models in Molecular and Cellular Biology, eds. Bard et al. (Cambridge Univ. Press, 1980), pp. 186-190.
-
(1980)
Mathematical Models in Molecular and Cellular Biology
, pp. 186-190
-
-
Segel, S.L.1
-
28
-
-
0001928261
-
Blow-up of radially symmetric solutions to some systems of PDE modelling chemotaxis
-
T. Senba, Blow-up of radially symmetric solutions to some systems of PDE modelling chemotaxis, AMSA 7 (1997) 79-92.
-
(1997)
AMSA
, vol.7
, pp. 79-92
-
-
Senba, T.1
-
29
-
-
0001544447
-
Some structures of the solution set for a stationary system of chemotaxis
-
T. Senba and T. Suzuki, Some structures of the solution set for a stationary system of chemotaxis, AMSA 10 (2000) 191-224.
-
(2000)
AMSA
, vol.10
, pp. 191-224
-
-
Senba, T.1
Suzuki, T.2
-
30
-
-
0036814302
-
Time global solutions to parabolic elliptic systems modelling chemotaxis
-
T. Senba and T. Suzuki, Time global solutions to parabolic elliptic systems modelling chemotaxis, Asympt. Anal. 32 (2002) 63-89.
-
(2002)
Asympt. Anal.
, vol.32
, pp. 63-89
-
-
Senba, T.1
Suzuki, T.2
-
31
-
-
0034376967
-
Qualitative behavior of solutions of chemotactic diffusion systems: Effects of motility and chemotaxis and dynamics
-
X. Wang, Qualitative behavior of solutions of chemotactic diffusion systems: effects of motility and chemotaxis and dynamics, SIAM J. Math. Anal. 31 (2000) 535-560.
-
(2000)
SIAM J. Math. Anal.
, vol.31
, pp. 535-560
-
-
Wang, X.1
-
32
-
-
7444220004
-
Steady state solution of a reaction-diffusion system modelling chemotaxis
-
G. Wang and J. Wei, Steady state solution of a reaction-diffusion system modelling chemotaxis, Math. Mach. 233-234 (2002) 221-236.
-
(2002)
Math. Mach.
, vol.233-234
, pp. 221-236
-
-
Wang, G.1
Wei, J.2
-
33
-
-
0242564342
-
Comparison between two models of self-gravitating clusters: Conditions for gravitational collapse
-
G. Wolansky, Comparison between two models of self-gravitating clusters: conditions for gravitational collapse, Nonlin. Anal. Theor. Math. Appl. 24 (1995) 1119-1129.
-
(1995)
Nonlin. Anal. Theor. Math. Appl.
, vol.24
, pp. 1119-1129
-
-
Wolansky, G.1
-
34
-
-
0036904264
-
Multicomponent chemotactic system in the absence of conflicts
-
G. Wolansky, Multicomponent chemotactic system in the absence of conflicts, Euro. J. Appl. Math. 13 (2002) 663-680.
-
(2002)
Euro. J. Appl. Math.
, vol.13
, pp. 663-680
-
-
Wolansky, G.1
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