Establishes nonlinear stability for continuously self-similar naked singularities in the Einstein-scalar field system under same-regularity perturbations in a localized Hölder topology, contrasting prior instability results under rough perturbations.
Self-similar blowup for the cubic schr\” odinger equation
3 Pith papers cite this work. Polarity classification is still indexing.
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The parabolic-elliptic Keller-Segel system is locally ill-posed in L^q(R^n) for n=3..9 and supercritical q in [1, n/2).
Computer-assisted construction of a finite-time singularity for 3D incompressible Navier-Stokes on T^3 via a 5D-lifted analytic profile and periodic extension.
citing papers explorer
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Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations I: main results
Establishes nonlinear stability for continuously self-similar naked singularities in the Einstein-scalar field system under same-regularity perturbations in a localized Hölder topology, contrasting prior instability results under rough perturbations.
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Spectral instability and non-uniqueness of mild solutions for the Keller-Segel system
The parabolic-elliptic Keller-Segel system is locally ill-posed in L^q(R^n) for n=3..9 and supercritical q in [1, n/2).
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Stable Finite-Time Singularity Formation for 3D Navier--Stokes via 5D-Lifted Axisymmetric Reductions
Computer-assisted construction of a finite-time singularity for 3D incompressible Navier-Stokes on T^3 via a 5D-lifted analytic profile and periodic extension.