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Finite Time Blowup for Parabolic Systems in Two Dimensions

2016/04/19 by Connor Mooney
Engineering · Mathematics · #Complex system #Construct (python library) #Linear system #Nonlinear Partial Differential Equations #Nonlinear system #Numerical methods in inverse problems #Singularity #Stability and Controllability of Differential Equations #math.AP

paper · pdf · doi:10.1007/s00205-016-1052-5

16 pages

arxiv created 2016/04/19 · openalex created_date 2016/06/24 · openalex publication_date 2016/10/28 · arxiv updated 2016/11/01 · openalex updated_date 2026/08/06

Abstract

We construct examples of finite time singularity from smooth data for linear uniformly parabolic systems in the plane. We obtain similar examples for quasilinear systems with coefficients that depend only on the solution.

Citations