참고문헌
- Colloq. Math. v.68 Existence and nonexistence of solutions for a model of gravitational interactions of particles, III P. Biler
- Adv. Math. Sci. Appl. v.8 Local and global soluability of some parabolic systems modelling chemotaxis
- Colloq. Math. v.68 Existence and nonexistence of solutions for a model of gravitational interactions of particles, I P. Biler;T. Nadzieja
- Lecture Notes in Biomath. v.55 Chemotactic collapse in two dimensions S. Childress
- Math. Biosci. v.56 Nonlinear aspects of chemotaxis S. Childress;J. K. Percus
- Adv. Math. Sci. Appl. v.5 Symmetrization in a parabolic-elliptic system related to chemotaxis J. I. Diaz;T. Nagai
-
J. Differential Equations
v.145
Symmetrization techniques on unbounded domains: Application to a chemotaxis system on
$R^n$ J. I. Diaz;T. Nagai;J. M. Rakotoson - Math. Nachr. v.195 Global behavior of a reaction-diffusion system modelling chemotaxis H. Gajewski;K. Zacharias
- Math. Ann. v.306 Singularity patterns in a chemotaxis model M. A. Herrero;J. J. L. Velazquez
- J. Math. Biol. v.35 Chemotaxis collapse for the Keller-Segel model
- Ann. Scuola Normale Sup. Pisa v.XXIV A blow-up mechanism for a chemotactic model
- Nonlinearity v.10 Finite-time aggregation into a single point in a reaction-diffusion system M. A. Herrero;E. Medina;J. J. L. Velazquez
- J. Com. Appl. Math. v.97 Self-similar blow-up for a reaction-diffusion system
- Trans. Amer. Math. Soc. v.329 On explosions of solutions to a system of partial differential equations modelling chemotaxis W. Jager;S. Luckhaus
- J. Theor. Biol. v.26 Initiation of slime mold aggregation viewed as on instability E. F. Keller;L. A. Segel
- Adv. Math. Sci. Appl. v.5 Blow-up of radially symmetric solutions to a chemotaxis system T. Nagai
- to appear in J. Inequal. Appl. Blowup of nonradial solutions to a parabolic-elliptic system modelling chemotaxis in two--dimensional domains
- Adv. Math. Sci. Appl. v.8 Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis T. Nagai;T. Senba
- to appear in Hiroshima Math. J. Chemotactic collapse in a parabolic system of mathematical biology T. Nagai;T. Senba;T. Suzuki
- Funckcial. Ekvac. v.40 Application of the Trudinger-Moser inequality to a parabolic system of chemotaxis T. Nagai;T. Senba;K. Yoshida
- J. Theor. Biol. v.42 Chemotaxis, signal relaying, and aggregation morphology V. Nanjundiah
- Adv. Math. Sci. Appl. v.7 Blow-up of radially symmetric solutions to some system of partial differential equations modelling chemotaxis T. Senba
- to appear in Adv. Differential Equations Chemotactic collapse in a parabolic-elliptic system of chemotaxis T. Senba;T. Suzuki
- Singular Integrals and Differentiability Properties of Functions E. M. Stein
- Math. Japonica v.45 Norm behavior of solutions to the parabolic system of chemotaxis A. Yagi