REVIEW 2 cited by
Axisymmetric type II blowup solutions to the three-dimensional Keller-Segel system
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We construct axisymmetric solutions to the three-dimensional parabolic-elliptic Keller-Segel system that blow up in finite time. In particular, the singularity is of type II, which locally admits a leading-order profile of the rescaled stationary solution of the two-dimensional system. Additionally, mass concentration occurs along a one-dimensional ring in the plane. In the analysis, we rely on an approximate solution of the eigenproblem associated with the linearized operator around the stationary solution as well as the modulation dynamics to control the perturbation function and derive the accurate blowup rate.
Forward citations
Cited by 2 Pith papers
-
Finite-Time Singularities of Lagrangian Mean Curvature Flow with Quantitatively Precise Dynamics
Almost-calibrated cohomogeneity-one Lagrangian mean curvature flows in C^n develop Type II singularities with precise curvature rate (T-t)^{-K/2} for admissible K,n, with cone pair tangent flow and smooth desingulariz...
-
Finite-time blow-up for the three dimensional axially symmetric Keller-Segel system
For any finite set of points in the half-plane of axial symmetry, there exists a 3D Keller-Segel solution whose mass concentrates at those points with a precisely quantified finite-time blow-up rate.
Discussion (0). Continue with ORCID to comment.