-
1
-
-
0000657461
-
Local and global solvability of some parabolic systems modelling chemotaxis
-
to appear
-
[1] P. Biler, Local and global solvability of some parabolic systems modelling chemotaxis, Adv. Math. Sci. Appl., to appear.
-
Adv. Math. Sci. Appl.
-
-
Biler, P.1
-
2
-
-
0019784884
-
Nonlinear aspects of chemotaxis
-
[2] S. Childress, 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
-
3
-
-
0022113843
-
Analysis of the early stage of thermal runaway
-
[3] J.W. Dold, Analysis of the early stage of thermal runaway, Quart. J. Mech. Appl. Math. 38 (1985) 361-387.
-
(1985)
Quart. J. Mech. Appl. Math.
, vol.38
, pp. 361-387
-
-
Dold, J.W.1
-
4
-
-
84990616610
-
Asymptotically self-similar blow-up of semilinear heat equations
-
[4] Y. Giga, R.V. Kohn, Asymptotically self-similar blow-up of semilinear heat equations, Comm. Pure Appl. Math. 38 (1985) 297-319.
-
(1985)
Comm. Pure Appl. Math.
, vol.38
, pp. 297-319
-
-
Giga, Y.1
Kohn, R.V.2
-
5
-
-
0010505120
-
Application of new comparison theorems in the investigation of unbounded solutions of nonlinear parabolic equations
-
[5] V.A. Galaktionov, S.A. Posashkov, Application of new comparison theorems in the investigation of unbounded solutions of nonlinear parabolic equations, Differential Equations 22 (7) (1986) 1165-1173.
-
(1986)
Differential Equations
, vol.22
, Issue.7
, pp. 1165-1173
-
-
Galaktionov, V.A.1
Posashkov, S.A.2
-
6
-
-
0039712703
-
Singularity patterns in a chemotaxis model
-
[6] M.A. Herrero, J.J.L. Velázquez, Singularity patterns in a chemotaxis model, Math. Ann. 306 (3) (1996) 583-623.
-
(1996)
Math. Ann.
, vol.306
, Issue.3
, pp. 583-623
-
-
Herrero, M.A.1
Velázquez, J.J.L.2
-
7
-
-
0030334089
-
Chemotactic collapse for the Keller-Segel model
-
[7] M.A. Herrero, 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
-
9
-
-
0000507343
-
Finite-time aggregation into a single point in a reaction-diffusion system
-
[9] M.A. Herrero, E. Medina, J.J.L. Velázquez, Finite-time aggregation into a single point in a reaction-diffusion system, Nonlinearity 10 (1997) 1739-1754.
-
(1997)
Nonlinearity
, vol.10
, pp. 1739-1754
-
-
Herrero, M.A.1
Medina, E.2
Velázquez, J.J.L.3
-
10
-
-
84966208077
-
On explosions of solutions to a system of partial differential equations modelling chemotaxis
-
[10] W. Jäger, S. Luckhaus, On explosions of solutions to a system of partial differential equations modelling chemotaxis, Trans. Amer. Math. Soc. 329 (2) (1992) 819-824.
-
(1992)
Trans. Amer. Math. Soc.
, vol.329
, Issue.2
, pp. 819-824
-
-
Jäger, W.1
Luckhaus, S.2
-
11
-
-
0014748565
-
Initiation of slime mold aggregation viewed as an instability
-
[11] E.F. Keller, 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
-
12
-
-
84971178534
-
The form of blow-up for nonlinear parabolic equations
-
[12] A.A. Lacey, The form of blow-up for nonlinear parabolic equations, Proc. Roy. Soc. Edinburg A 98 (1984) 183-202.
-
(1984)
Proc. Roy. Soc. Edinburg A
, vol.98
, pp. 183-202
-
-
Lacey, A.A.1
-
13
-
-
0000911254
-
Blow-up of radially symmetric solutions to a chemotaxis system
-
[13] T. Nagai, Blow-up of radially symmetric solutions to a chemotaxis system, Adv. Math. Sci. Appl. (1995) 1-21.
-
(1995)
Adv. Math. Sci. Appl.
, pp. 1-21
-
-
Nagai, T.1
-
14
-
-
0015757937
-
Chemotaxis signal relaying and aggregation morphology
-
[14] V. Nanjundiah, Chemotaxis signal relaying and aggregation morphology, J. Theor. Biology 42 (1973) 63-105.
-
(1973)
J. Theor. Biology
, vol.42
, pp. 63-105
-
-
Nanjundiah, V.1
-
15
-
-
84968503478
-
Classification of singularities for blowing-up solutions in higher dimensions
-
[15] J.J.L. Velázquez, Classification of singularities for blowing-up solutions in higher dimensions, Trans. Amer. Math. Soc. 338 (1) (1993) 441-464.
-
(1993)
Trans. Amer. Math. Soc.
, vol.338
, Issue.1
, pp. 441-464
-
-
Velázquez, J.J.L.1
-
16
-
-
21144461798
-
On steady distributions of self-attracting clusters under friction and
-
[16] G. Wolansky, On steady distributions of self-attracting clusters under friction and fluctuations, Arch. Rat. Mech. Anal. 119 (1992) 355-391.
-
(1992)
Arch. Rat. Mech. Anal.
, vol.119
, pp. 355-391
-
-
Wolansky, G.1
-
17
-
-
51249166872
-
On the evolution of self-interacting clusters and applications to semilinear equations with exponential nonlinearity
-
[17] G. Wolansky, On the evolution of self-interacting clusters and applications to semilinear equations with exponential nonlinearity, J. Anal. Math. 59 (1992) 251-272.
-
(1992)
J. Anal. Math.
, vol.59
, pp. 251-272
-
-
Wolansky, G.1
|