Global Existence of Solutions to a Parabolic-Elliptic System of Drift-Diffusion Type in R2

Toshitaka Nagai; Takayoshi Ogawa

doi:10.1619/fesi.59.67

Global Existence of Solutions to a Parabolic-Elliptic System of Drift-Diffusion Type in R²

Toshitaka Nagai, Takayoshi Ogawa

著者情報

キーワード: Interaction particle, Gravitational model, Chemotaxis model, Global existence, Subcritical case, Two dimensions

ジャーナルフリー

2016 年 59 巻 1 号 p. 67-112

DOI https://doi.org/10.1619/fesi.59.67

詳細

抄録

We consider the Cauchy problem of a parabolic-elliptic system in R², which appears in various fields in physics and biology. Under a mild restriction on the initial data, we show the global existence of nonnegative solutions to the Cauchy problem for both the subcritical and the critical cases, that is, the total mass of the solution is less than or equal to 8π.

責任著者(Corresponding author)

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