scholarly journals Finite-time blow-up in the three-dimensional fully parabolic attraction-dominated attraction-repulsion chemotaxis system

2021 ◽  
pp. 125409
Author(s):  
Johannes Lankeit
Keyword(s):  
Finite Time ◽  
Blow Up ◽  
Three Dimensional ◽  
Chemotaxis System

scholarly journals Finite-Time Blow-up in a Quasilinear Degenerate Chemotaxis System with Flux Limitation

2019 ◽  
Vol 167 (1) ◽  
pp. 231-259 ◽  
Author(s):  
Yuka Chiyoda ◽  
Masaaki Mizukami ◽  
Tomomi Yokota
Keyword(s):  
Finite Time ◽  
Blow Up ◽  
Chemotaxis System ◽  
Flux Limitation

SOME PERIODIC AND BLOW-UP SOLUTIONS FOR LANDAU–LIFSHITZ EQUATION

2011 ◽  
Vol 26 (32) ◽  
pp. 2437-2452 ◽  
Author(s):  
PENGHONG ZHONG ◽  
SHU WANG ◽  
SHENGTAO CHEN
Keyword(s):  
Exact Solution ◽  
Periodic Solution ◽  
Exact Solutions ◽  
Finite Time ◽  
Blow Up ◽  
Three Dimensional ◽  
Ferromagnetic Materials ◽  
Lifshitz Equation ◽  
Dimensional Spacetime ◽  
Vortex Solution

In this paper, we construct the exact solution of two- or three-dimensional spacetime Landau–Lifshitz equation raised in the ferromagnetic materials. Under suitable transformations, some exact solutions are obtained in the radially symmetric coordinates and nonsymmetric coordinates. The type of solutions cover the finite time blow-up solution, vortex solution and periodic solution. In the end, we sketch some solutions and their spatial curvatures.

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