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Global existence vs. blowup in a fully parabolic quasilinear 1D Keller–Segel system

✍ Scribed by Jan Burczak; Tomasz Cieślak; Cristian Morales-Rodrigo


Book ID
116761204
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
267 KB
Volume
75
Category
Article
ISSN
0362-546X

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Global existence and blow-up for a quasi
✍ Chunlai Mu; Ying Su 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 597 KB

This paper deals with the conditions that ensure the blow-up phenomenon or its absence for solutions of the system ut = A@ + v\*enu, vt = Au" + uaeflv with homogeneous Dirichlet boundary data. The results depend crucially on the sign of the difference pq -pclv and on the domain R.