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Decay and asymptotic behavior of solutions of the Keller-Segel system of degenerate and nondegenerate type

Takayoshi Ogawa — 2006

Banach Center Publications

We classify the global behavior of weak solutions of the Keller-Segel system of degenerate and nondegenerate type. For the stronger degeneracy, the weak solution exists globally in time and has a uniform time decay under some extra conditions. If the degeneracy is weaker, the solution exhibits a finite time blow up if the data is nonnegative. The situation is very similar to the semilinear case. Some additional discussion is also presented.

Two-dimensional Navier-Stokes flow in unbounded domains.

Hideo Kozono; Takayoshi Ogawa — 1993

Mathematische Annalen

Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries.

Hideo Kozono; Takayoshi Ogawa — 1994

Mathematische Zeitschrift

Existence of multiple solutions for a nonlinearly perturbed elliptic parabolic system in $ℝ^{2}$ .

Ishiwata, Michinori; Ogawa, Takayoshi; Takahashi, Futoshi — 2009

Electronic Journal of Differential Equations (EJDE) [electronic only]

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