Probabilistic well-posedness for the nonlinear wave equation on B₂×\mathbbT

2014/09/10 by Aynur Bulut, Bulut, Aynur
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1409.3209

openalex publication_date 2014/09/10 · openalex created_date 2022/09/12 · openalex updated_date 2026/07/28

Abstract

We establish probabilistic well-posedness results for the subcubic nonlinear wave equation, posed on the domain B₂×\mathbbT, with randomly chosen initial data having radial symmetry in the B₂ variable, and with vanishing Dirichlet boundary conditions on ∂ B₂×\mathbbT.

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