Probabilistic well-posedness for the nonlinear wave equation on $B_2\times\mathbb{T}$

Aynur Bulut

Probabilistic well-posedness for the nonlinear wave equation on $B_2\times\mathbb{T}$

Analysis of PDEs 2024-05-16 v2 Mathematical Physics math.MP

Authors: Aynur Bulut

Abstract

We establish probabilistic well-posedness results for the subcubic nonlinear wave equation, posed on the domain $B_2\times\mathbb{T}$ , with randomly chosen initial data having radial symmetry in the $B_2$ variable, and with vanishing Dirichlet boundary conditions on $\partial B_2\times\mathbb{T}$ .

Keywords

well-posedness nonlinear wave equations water waves

Cite

@article{arxiv.1409.3209,
  title  = {Probabilistic well-posedness for the nonlinear wave equation on $B_2\times\mathbb{T}$},
  author = {Aynur Bulut},
  journal= {arXiv preprint arXiv:1409.3209},
  year   = {2024}
}

Comments

To appear in revised form in Discrete and Continuous Dynamical Systems

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