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.
Nondegeneracy of blowup for semilinear heat equations
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The paper is a memorial tribute collecting reminiscences of Robert V. Kohn's exemplary life and contributions to mathematics.
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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.
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Robert V. Kohn (1953-2026)
The paper is a memorial tribute collecting reminiscences of Robert V. Kohn's exemplary life and contributions to mathematics.