首页|SOME NEW RESULTS FOR THE WELL-POSEDNESS OF SOLUTIONS FOR A PARABOLIC-PARABOLIC-ELLIPTIC CHEMOTAXIS MODEL
SOME NEW RESULTS FOR THE WELL-POSEDNESS OF SOLUTIONS FOR A PARABOLIC-PARABOLIC-ELLIPTIC CHEMOTAXIS MODEL
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NETL
NSTL
Amer Inst Mathematical Sciences-Aims
In this paper, the parabolic-parabolic-elliptic system with logisticsource ut =Δu−▽· (u▽v)+ξ▽· (u▽w)+au−µuα, x∈Ω, t＞0, vt =Δv+▽· (v▽w)−v+u, x∈Ω, t＞0, 0=Δw−w+u, x∈Ω,t＞0 is considered in a bounded domain Ω ⊂ RN (N ≥ 4) with smooth boundary, where µ, a,αare positive constants and ξ ∈ R. It is proved that under the assumption thatα＞ N2 − 2N ,3− 2N , then for all appropriately regular nonnegative initial data u0 and v0, the prob-lem exists a unique global classical bounded solution, which extends the pre-vious results of [27] for the case of N ≥4.
NETL
NSTL
Amer Inst Mathematical Sciences-Aims
