Blowup of solutions to a diffusive aggregation model

Abstract

The nonexistence of global in time solutions is studied for a class of aggregation equations involving Lévy diffusion operators and general interaction kernels.

References in corpus (2)

• The fractional Keller-Segel model
• Blow up of solutions to generalized Keller--Segel model

Cited by in corpus (8)

• Local and Global Well-Posedness for Aggregation Equations and Patlak-Keller-Segel Models with Degenerate Diffusion
• The one-dimensional Keller-Segel model with fractional diffusion of cells
• Critical Keller-Segel meets Burgers on ${\mathbb{S}}^1$: large-time smooth solutions
• Spikes and diffusion waves in one-dimensional model of chemotaxis
• Blow-up versus global existence of solutions to aggregation equations
• Fractional Hypocoercivity
• Fractional Keller-Segel Equation: Global Well-posedness and Finite Time Blow-up
• Suppression of blow up by a logistic source in $2$D Keller-Segel system with fractional dissipation