معرفی
Dipendra Regmi is an Associate Professor in the Department of Mathematics at the University of North Georgia (UNG), specializing in advanced mathematical analysis of fluid dynamics and partial differential equations. His research focuses on the global regularity, stability, and exponential decay of solutions to complex systems like the 2D Boussinesq–Navier–Stokes and magnetohydrodynamic (MHD) equations, often under partial dissipation or anisotropic diffusion conditions.
His publications highlight expertise in nonlinear analysis, singular velocity models, and magnetic field interactions in fluid systems. Articles such as "The 2D Boussinesq–Navier–Stokes equations with logarithmically supercritical dissipation" (2024) and "Stability and exponential decay for magnetohydrodynamic equations" (2023) demonstrate his contributions to understanding fluid behavior in applied mathematics contexts.
- Key Research Areas: Fluid Dynamics, Partial Differential Equations, Magnetohydrodynamics, Nonlinear Analysis
- Notable Contributions: Regularity criteria for anisotropic systems, stability analysis in MHD equations, supercritical dissipation models
