期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 34, 期 2, 页码 176-190出版社
WILEY-BLACKWELL PUBLISHING, INC
DOI: 10.1002/mma.1346
关键词
chemotaxis; global existence; weak solutions; singularity formation
The Neumann boundary value problem for the chemotaxis system {u(t) = Delta u-chi del.(u/v del v), x is an element of Omega, t>0, v(t) = Delta v-v+u, x is an element of Omega, t>0, is considered in a smooth bounded domain Omega subset of R(n), n >= 2, with initial data u(0)is an element of C(0)((Omega) over bar) and v(0)is an element of W(1,infinity)(Omega) satisfying u(0)>= 0 and v(0)>0 in (Omega) over bar. It is shown that if 0
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