-
1
-
-
0000657461
-
Local and global solvability of parabolic systems modelling chemotaxis
-
Biler P.: Local and global solvability of parabolic systems modelling chemotaxis. Adv. Math. Sci. Appl. 8, 715-743 (1998).
-
(1998)
Adv. Math. Sci. Appl.
, vol.8
, pp. 715-743
-
-
Biler, P.1
-
2
-
-
0009978417
-
Existence and nonexistence of solutions for a model of gravitational interaction of particles. III
-
Biler P.: Existence and nonexistence of solutions for a model of gravitational interaction of particles. III. Colloq. Math. 68, 229-239 (1995).
-
(1995)
Colloq. Math.
, vol.68
, pp. 229-239
-
-
Biler, P.1
-
3
-
-
0009283007
-
The Cauchy problem and self-similar solutions for a nonlinear parabolic equation
-
Biler P.: The Cauchy problem and self-similar solutions for a nonlinear parabolic equation. Studia Math. 114, 181-205 (1995).
-
(1995)
Studia Math.
, vol.114
, pp. 181-205
-
-
Biler, P.1
-
4
-
-
77955846744
-
-
P. Biler, Radially symmetric solutions of a chemotaxis model in the plane - the supercritical case, 31-42, in: Parabolic and Navier-Stokes Equations, Banach Center Publications 81, Polish Acad. Sci., Warsaw, 2008.
-
-
-
-
5
-
-
69249193119
-
On the parabolic-elliptic limit of the doubly parabolic Keller-Segel system modelling chemotaxis
-
Biler P., Brandolese L.: On the parabolic-elliptic limit of the doubly parabolic Keller-Segel system modelling chemotaxis. Studia Mathematica 193, 241-261 (2009).
-
(2009)
Studia Mathematica
, vol.193
, pp. 241-261
-
-
Biler, P.1
Brandolese, L.2
-
6
-
-
11144305807
-
Global regular and singular solutions for a model of gravitating particles
-
Biler P., Cannone M., Guerra I., Karch G.: Global regular and singular solutions for a model of gravitating particles. Mathematische Annalen 330, 693-708 (2004).
-
(2004)
Mathematische Annalen
, vol.330
, pp. 693-708
-
-
Biler, P.1
Cannone, M.2
Guerra, I.3
Karch, G.4
-
7
-
-
0007509871
-
Interacting particle approximation for nonlocal quadratic evolution problems
-
Biler P., Funaki T., Woyczyński W. A.: Interacting particle approximation for nonlocal quadratic evolution problems. Probab. Math. Stat. 19, 267-286 (1999).
-
(1999)
Probab. Math. Stat.
, vol.19
, pp. 267-286
-
-
Biler, P.1
Funaki, T.2
Woyczyński, W.A.3
-
9
-
-
0035664594
-
Asymptotics for conservation laws involving Lévy diffusion generators
-
Biler P., Karch G., Woyczyński W. A.: Asymptotics for conservation laws involving Lévy diffusion generators. Studia Math. 148, 171-192 (2001).
-
(2001)
Studia Math.
, vol.148
, pp. 171-192
-
-
Biler, P.1
Karch, G.2
Woyczyński, W.A.3
-
10
-
-
0345504868
-
Global and exploding solutions for nonlocal quadratic evolution problems
-
Biler P., Woyczyński W. A.: Global and exploding solutions for nonlocal quadratic evolution problems. SIAM J. Appl. Math. 59, 845-869 (1998).
-
(1998)
SIAM J. Appl. Math.
, vol.59
, pp. 845-869
-
-
Biler, P.1
Woyczyński, W.A.2
-
11
-
-
58449099055
-
-
P. Biler, G. Wu, Two-dimensional chemotaxis models with fractional diffusion, Math. Methods Appl. Sciences 32 (2009), 112-126; DOI: 10. 1002/mma. 1036, (2008).
-
-
-
-
12
-
-
33645680010
-
Two dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions
-
Blanchet A., Dolbeault J., Perthame B.: Two dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions. Electron. J. Diff. Eqns. 44, 1-33 (2006).
-
(2006)
Electron. J. Diff. Eqns.
, vol.44
, pp. 1-33
-
-
Blanchet, A.1
Dolbeault, J.2
Perthame, B.3
-
13
-
-
44549087791
-
Far field asymptotics of solutions to convection equation with anomalous diffusion
-
Brandolese L., Karch G.: Far field asymptotics of solutions to convection equation with anomalous diffusion. J. Evolution Equations 8, 307-326 (2008).
-
(2008)
J. Evolution Equations
, vol.8
, pp. 307-326
-
-
Brandolese, L.1
Karch, G.2
-
14
-
-
77955844810
-
-
V. Calvez, B. Perthame, M. Sharifi tabar, Modified Keller-Segel system and critical mass for the log interaction kernel, Contemporary Math. 429, 45-62 (2007), Stochastic analysis and pde; Chen, Gui-Qiang (ed.) et al., AMS.
-
-
-
-
15
-
-
26844499863
-
Global solutions of some chemotaxis and angiogenesis systems in high space dimensions
-
Corrias L., Perthame B., Zaag H.: Global solutions of some chemotaxis and angiogenesis systems in high space dimensions. Milan J. Math. 72, 1-29 (2004).
-
(2004)
Milan J. Math.
, vol.72
, pp. 1-29
-
-
Corrias, L.1
Perthame, B.2
Zaag, H.3
-
16
-
-
33747469213
-
Fractal first order partial differential equations
-
Droniou J., Imbert C.: Fractal first order partial differential equations. Arch. Rat. Mech. Anal. 182, 299-331 (2006).
-
(2006)
Arch. Rat. Mech. Anal.
, vol.182
, pp. 299-331
-
-
Droniou, J.1
Imbert, C.2
-
17
-
-
33846038745
-
The fractional Keller-Segel model
-
Escudero C.: The fractional Keller-Segel model. Nonlinearity 19, 2909-2918 (2006).
-
(2006)
Nonlinearity
, vol.19
, pp. 2909-2918
-
-
Escudero, C.1
-
19
-
-
84966208077
-
On explosions of solutions to a system of partial differential equations modelling chemotaxis
-
Jäger W., Luckhaus S.: On explosions of solutions to a system of partial differential equations modelling chemotaxis. Trans. Amer. Math. Soc. 329, 819-824 (1992).
-
(1992)
Trans. Amer. Math. Soc.
, vol.329
, pp. 819-824
-
-
Jäger, W.1
Luckhaus, S.2
-
20
-
-
0001159770
-
Scaling in nolinear parabolic equations
-
Karch G.: Scaling in nolinear parabolic equations. J. Math. Anal. Appl. 234, 534-558 (1999).
-
(1999)
J. Math. Anal. Appl.
, vol.234
, pp. 534-558
-
-
Karch, G.1
-
21
-
-
44549087932
-
Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system
-
Kozono H., Sugiyama Y.: Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system. J. Evolution Equations 8, 353-378 (2008).
-
(2008)
J. Evolution Equations
, vol.8
, pp. 353-378
-
-
Kozono, H.1
Sugiyama, Y.2
-
22
-
-
25844459072
-
Finite time blow-up of the solution for a nonlinear parabolic equation of drift-diffusion type
-
Kurokiba M., Ogawa T.: Finite time blow-up of the solution for a nonlinear parabolic equation of drift-diffusion type. Differential Integral Equations 16, 427-453 (2003).
-
(2003)
Differential Integral Equations
, vol.16
, pp. 427-453
-
-
Kurokiba, M.1
Ogawa, T.2
-
25
-
-
77955845299
-
-
Y. Meyer, Wavelets, paraproducts and Navier-Stokes equations, Current developments in mathematics, 1996, Internat. Press, Cambridge, MA 02238-2872 (1999).
-
-
-
-
26
-
-
10244221915
-
Behavior of solutions to a parabolic-elliptic system modelling chemotaxis
-
Nagai T.: Behavior of solutions to a parabolic-elliptic system modelling chemotaxis. J. Korean Math. Soc. 37, 721-732 (2000).
-
(2000)
J. Korean Math. Soc.
, vol.37
, pp. 721-732
-
-
Nagai, T.1
|