62 citations · 64 across the 5 of their papers we have counts for
5 papers
Long Time Well-posedness for the Benjamin-Ono Equation with Quasi-Periodic Initial Data
Yubo Wang
This paper investigates the long time well-posedness of the Benjamin-Ono (BO) equation with quasi-periodic initial data in analytic space. We demonstrate that the Lax operator of t…
Global Well-Posedness for the Benjamin-Ono Equation with Small Periodic Initial Data in Analytic Spaces
Yubo Wang
We establish global well-posedness of the Benjamin--Ono equation for sufficiently small, zero-mean periodic initial data in the analytic Sobolev space . The proof combin…
An adaptive dynamical low rank method for the nonlinear Boltzmann equation
Jingwei Hu, Yubo Wang
Efficient and accurate numerical approximation of the full Boltzmann equation has been a longstanding challenging problem in kinetic theory. This is mainly due to the high dimensio…
An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation
Lukas Einkemmer, Jingwei Hu, Yubo Wang
We introduce a dynamical low-rank method to reduce the computational complexity for solving the multi-scale multi-dimensional linear transport equation. The method is based on a ma…
Uncertainty quantification for the BGK model of the Boltzmann equation using multilevel variance reduced Monte Carlo methods
Jingwei Hu, Lorenzo Pareschi, Yubo Wang
We propose a control variate multilevel Monte Carlo method for the kinetic BGK model of the Boltzmann equation subject to random inputs. The method combines a multilevel Monte Carl…