Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type
DOI10.1007/s00205-010-0394-7zbMath1270.35131OpenAlexW2028594344MaRDI QIDQ715305
Noriko Mizoguchi, Takasi Senba, Yoshikazu Giga
Publication date: 5 November 2012
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-010-0394-7
self-similar variablesparabolic-elliptic Keller-Segel systemSmoluchowski-Poisson equationintersection-comparison argument
Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44)
Related Items (16)
Cites Work
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- Blow-up behavior of solutions to a parabolic-elliptic system on higher dimensional domains
- Initiation of slime mold aggregation viewed as an instability
- A fast blowup solution to an elliptic-parabolic system related to chemotaxis
- Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions
- Self-similar blow-up for a reaction-diffusion system
- Backward uniqueness for parabolic equations
- Blowup Behavior of Radial Solutions to Jaeger-Luckhaus System in High Dimensional Domains
- Finite-time aggregation into a single point in a reaction - diffusion system
- On Nonexistence of type II blowup for a supercritical nonlinear heat equation
- Self-similar blow-up for a diffusion–attraction problem
- Existence and nonexistence of solutions for a model of gravitational interaction of particles, II
- Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball.
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