Smooth initial data for 1D compressible Euler with vacuum boundary can develop gradient blowup at the boundary in finite time.
FinitetimeblowupforKeller-Segel equation with logistic damping in three dimensions
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
citation-role summary
background 1
citation-polarity summary
years
2026 2verdicts
UNVERDICTED 2roles
background 1polarities
background 1representative citing papers
The work introduces a modulation-based analytical method for singularity proofs in singular PDEs and refines ML techniques like PINNs and KANs to identify blowup solutions, with application to the open 3D Keller-Segel problem.
citing papers explorer
-
Gradient blowup of smooth vacuum solutions to 1D compressible Euler equations
Smooth initial data for 1D compressible Euler with vacuum boundary can develop gradient blowup at the boundary in finite time.
-
Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approaches
The work introduces a modulation-based analytical method for singularity proofs in singular PDEs and refines ML techniques like PINNs and KANs to identify blowup solutions, with application to the open 3D Keller-Segel problem.