Constructs exact finite-time self-similar blowup solutions for the 1D weak-advection Hou-Li model via fixed-point near origin and ODE extension, for 2/3<a<1 periodic and 0<a≤1 whole-space with Neumann condition.
Self-similarfinite-timeblowupswithsmoothprofilesofthe generalizedConstantin-Lax-Majdamodel
2 Pith papers cite this work. Polarity classification is still indexing.
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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.
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Exact Blowup Analysis for the Weak-Advection Hou--Li Model
Constructs exact finite-time self-similar blowup solutions for the 1D weak-advection Hou-Li model via fixed-point near origin and ODE extension, for 2/3<a<1 periodic and 0<a≤1 whole-space with Neumann condition.
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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.