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math.AP2021
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…
math.AP2021★ 1 cited
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…
math.AP2021★ 11 cited
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…