154 citations · 666 across the 66 of their papers we have counts for
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Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid-structure interaction
Jeffrey Kuan, Tadahiro Oh, Sunčica Čanić
We prove probabilistic well-posedness for a 2D viscous nonlinear wave equation modeling fluid-structure interaction between a 3D incompressible, viscous Stokes flow and nonlinear e…
Stochastic quantization of the -model
Tadahiro Oh, Mamoru Okamoto, Leonardo Tolomeo
(Due to the limit on the number of characters for an abstract set by arXiv, the full abstract can not be displayed here. See the abstract in the paper.) We study the construction o…
On the two-dimensional singular stochastic viscous nonlinear wave equations
Ruoyuan Liu, Tadahiro Oh
We study the stochastic viscous nonlinear wave equations (SvNLW) on , forced by a fractional derivative of the space-time white noise . In particular, we consider S…
Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise
Tadahiro Oh, Yuzhao Wang, Younes Zine
We study the stochastic cubic nonlinear wave equation (SNLW) with an additive noise on the three-dimensional torus . In particular, we prove local well-posedness of t…