-
1
-
-
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 3 1970 399 415
-
(1970)
J. Theor. Biol.
, vol.26
, Issue.3
, pp. 399-415
-
-
Keller, E.F.1
Segel, L.A.2
-
2
-
-
63049107118
-
A users' guide to PDE models for chemotaxis
-
T. Hillen, and K. Painter A users' guide to PDE models for chemotaxis J. Math. Biol. 58 12 2009 183 217
-
(2009)
J. Math. Biol.
, vol.58
, Issue.12
, pp. 183-217
-
-
Hillen, T.1
Painter, K.2
-
3
-
-
4744373150
-
From 1970 until present: The KellerSegel model in chemotaxis and its consequences i
-
D. Horstmann From 1970 until present: the KellerSegel model in chemotaxis and its consequences I Jahresberichte DMV 105 3 2003 103 165
-
(2003)
Jahresberichte DMV
, vol.105
, Issue.3
, pp. 103-165
-
-
Horstmann, D.1
-
4
-
-
0015010990
-
Traveling bands of chemotactic bacteria: A theoretical analysis
-
E.F. Keller, and L.A. Segel Traveling bands of chemotactic bacteria: a theoretical analysis J. Theor. Biol. 30 2 1971 235 248
-
(1971)
J. Theor. Biol.
, vol.30
, Issue.2
, pp. 235-248
-
-
Keller, E.F.1
Segel, L.A.2
-
5
-
-
0018181645
-
Steady-state distribution of bacteria chemotactic toward oxygen
-
G. Rosen Steady-state distribution of bacteria chemotactic toward oxygen Bull. Math. Biol. 40 5 1978 671 674 (Pubitemid 9053191)
-
(1978)
Bulletin of Mathematical Biology
, vol.40
, Issue.5
, pp. 671-674
-
-
Rosen, G.1
-
6
-
-
0031207030
-
Aggregation, blowup, and collapse: The ABC'S of taxis in reinforced random walks
-
PII S0036139995288976
-
H.G. Othmer, and A. Stevens Aggregation, blowup and collapse: the ABC's of taxis in reinforced random walks SIAM J. Appl. Math. 57 4 1997 1044 1081 (Pubitemid 127642175)
-
(1997)
SIAM Journal on Applied Mathematics
, vol.57
, Issue.4
, pp. 1044-1081
-
-
Othmer, H.G.1
Stevens, A.2
-
7
-
-
0035307231
-
Partial differential equations of chemotaxis and angiogenesis
-
DOI 10.1002/mma.212
-
B.D. Sleeman, and H.A. Levine Partial differential equations of chemotaxis and angiogenesis Math. Meth. Appl. Sci. 24 6 2001 405 426 (Pubitemid 32371475)
-
(2001)
Mathematical Methods in the Applied Sciences
, vol.24
, Issue.6
, pp. 405-426
-
-
Sleeman, B.D.1
Levine, H.A.2
-
8
-
-
0031162898
-
A system of reaction diffusion equations arising in the theory of reinforced random walks
-
PII S0036139995291106
-
H.A. Levine, and B.D. Sleeman A system of reactiondiffusion equations arising in the theory of reinforced random walks SIAM J. Appl. Math. 57 3 1997 683 730 (Pubitemid 127639231)
-
(1997)
SIAM Journal on Applied Mathematics
, vol.57
, Issue.3
, pp. 683-730
-
-
Levine, H.A.1
Sleeman, B.D.2
-
9
-
-
0141644434
-
Finite dimensional attractors for one-dimensional KellerSegel equations
-
K. Osaki, and A. Yagi Finite dimensional attractors for one-dimensional KellerSegel equations Funkcialaj Ekvacioj 44 3 2001 441 469
-
(2001)
Funkcialaj Ekvacioj
, vol.44
, Issue.3
, pp. 441-469
-
-
Osaki, K.1
Yagi, A.2
-
10
-
-
0001580322
-
Global solutions to some parabolicelliptic systems of chemotaxis
-
P. Biler Global solutions to some parabolicelliptic systems of chemotaxis Adv. Math. Sci. Appl. 9 1 1999 347 359
-
(1999)
Adv. Math. Sci. Appl.
, vol.9
, Issue.1
, pp. 347-359
-
-
Biler, P.1
-
11
-
-
0005525169
-
Global existence of solutions to the parabolic systems of chemotaxis
-
T. Nagai, T. Senba, and K. Yoshida Global existence of solutions to the parabolic systems of chemotaxis RIMS Kokyuroku 1009 1997 22 28
-
(1997)
RIMS Kokyuroku
, vol.1009
, pp. 22-28
-
-
Nagai, T.1
Senba, T.2
Yoshida, K.3
-
12
-
-
78650780103
-
Global solutions in a fully parabolic chemotaxis system with singular sensitivity
-
M. Winkler Global solutions in a fully parabolic chemotaxis system with singular sensitivity Math. Meth. Appl. Sci. 34 2 2011 176 190
-
(2011)
Math. Meth. Appl. Sci.
, vol.34
, Issue.2
, pp. 176-190
-
-
Winkler, M.1
-
13
-
-
10244226666
-
Chemotaxis and growth system with singular sensitivity function
-
M. Aida, K. Osaki, T. Tsujikawa, A. Yagi, and M. Mimura Chemotaxis and growth system with singular sensitivity function Nonlinear Anal. Real World Appl. 6 2005 323 336
-
(2005)
Nonlinear Anal. Real World Appl.
, vol.6
, pp. 323-336
-
-
Aida, M.1
Osaki, K.2
Tsujikawa, T.3
Yagi, A.4
Mimura, M.5
-
14
-
-
0005596499
-
Behavior of radially symmetric solutions of a system related to chemotaxis
-
PII S0362546X96002568
-
T. Nagai, and T. Senba Behavior of radially symmetric solutions of a system related to chemotaxis Nonlinear Anal. 30 6 1997 3837 3842 (Pubitemid 127407056)
-
(1997)
Nonlinear Analysis, Theory, Methods and Applications
, vol.30
, Issue.6
, pp. 3837-3842
-
-
Nagai, T.1
Senba, T.2
-
16
-
-
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 Hiroshima Math. J. 30 3 2000 463 497
-
(2000)
Hiroshima Math. J.
, vol.30
, Issue.3
, pp. 463-497
-
-
Nagai, T.1
Senba, T.2
Suzuki, T.3
-
17
-
-
77958535262
-
Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity
-
M. Winkler Absence of collapse in a parabolic chemotaxis system with signal-dependent sensitivity Math. Nachr. 283 11 2010 1664 1673
-
(2010)
Math. Nachr.
, vol.283
, Issue.11
, pp. 1664-1673
-
-
Winkler, M.1
-
18
-
-
18144371222
-
Boundedness vs. blow-up in a chemotaxis system
-
DOI 10.1016/j.jde.2004.10.022, PII S0022039604004152
-
D. Horstmann, and M. Winkler Boundedness vs. blow-up in a chemotaxis system J. Differential Equations 215 1 2005 52 107 (Pubitemid 40621900)
-
(2005)
Journal of Differential Equations
, vol.215
, Issue.1
, pp. 52-107
-
-
Horstmann, D.1
Winkler, M.2
-
19
-
-
77952551861
-
Aggregation vs. global diffusive behavior in the higher-dimensional KellerSegel model
-
M. Winkler Aggregation vs. global diffusive behavior in the higher-dimensional KellerSegel model J. Differential Equations 248 12 2010 2889 2905
-
(2010)
J. Differential Equations
, vol.248
, Issue.12
, pp. 2889-2905
-
-
Winkler, M.1
-
21
-
-
0003306279
-
NavierStokes equations. Theory and numerical analysis
-
North-Holland Amsterdam etc.
-
R. Temam NavierStokes equations. Theory and numerical analysis Studies in Mathematics and its Applications Vol. 2 1977 North-Holland Amsterdam etc.
-
(1977)
Studies in Mathematics and Its Applications
, vol.2
-
-
Temam, R.1
-
22
-
-
0035994224
-
An improved HardySobolev inequality and its application
-
N. Chaudhuri Adimurthi, and M. Ramaswamy An improved HardySobolev inequality and its application Proc. AMS 130 2 2002 489 505
-
(2002)
Proc. AMS
, vol.130
, Issue.2
, pp. 489-505
-
-
Adimurthi, N.C.1
Ramaswamy, M.2
|