4 papers
Adams type Dunkl Stein-Weiss inequality on Dunkl Morrey spaces on the real line
Sourav Dutta, Saswata Adhikari
In this paper, we study the weighted boundedness of the Dunkl fractional integral operator (i.e., Dunkl Stein-Weiss inequality) associated with the Dunkl operator on .…
Operator Learning for Predicting Bulk Wave Parameters of Spectral Wave Models
Shukai Cai, Sourav Dutta, Mark Loveland +4
The impact of wave-induced forcing on the mean water level and nearshore currents is typically modeled through excess momentum fluxes, also known as radiation stresses, and their s…
Learning the Exact Flux: Neural Riemann Solvers with Hard Constraints
Yucheng Zhang, Chayanon Wichitrnithed, Shukai Cai +3
Godunov-type methods, which obtain numerical fluxes through local Riemann problems at cell interfaces, are among the most fundamental and widely used numerical methods in computati…
A Neural Operator Emulator for Coastal and Riverine Shallow Water Dynamics
Peter Rivera-Casillas, Sourav Dutta, Shukai Cai +7
Coastal regions and river floodplains are particularly vulnerable to the impacts of extreme weather events. Accurate real-time forecasting of hydrodynamic processes in these areas…