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math.AP2023
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus
Andreia Chapouto, Guopeng Li, Ruoyuan Liu
We study global-in-time dynamics of the stochastic nonlinear beam equations (SNLB) with an additive space-time white noise, posed on the four-dimensional torus. The roughness of th…
math.AP2023
Intermediate long wave equation in negative Sobolev spaces
Andreia Chapouto, Justin Forlano, Guopeng Li +2
We study the intermediate long wave equation (ILW) in negative Sobolev spaces. In particular, despite the lack of scaling invariance, we identify the regularity as…
math.AP2023★ 3 cited
Deep-water limit of the intermediate long wave equation in
Andreia Chapouto, Guopeng Li, Tadahiro Oh +1
We study the well-posedness issue of the intermediate long wave equation (ILW) on both the real line and the circle. By applying the gauge transform for the Benjamin-Ono equation (…