3 papers
physics.flu-dyn2025
Unraveling Self-Similar Energy Transfer Dynamics: a Case Study for 1D Burgers System
Pritpal Matharu, Bartosz Protas, Tsuyoshi Yoneda
In this work we consider the problem of constructing initial conditions for a flow model such that the resulting flow evolution leads to a self-similar energy cascade consistent wi…
math.OC2024
Adjoint-Based Enforcement of State Constraints in PDE Optimization Problems
Pritpal Matharu, Bartosz Protas
This study demonstrates how the adjoint-based framework traditionally used to compute gradients in PDE optimization problems can be extended to handle general constraints on the st…
math.AP2024
The incompressible Navier-Stokes limit from the lattice BGK Boltzmann equation
Zhongyang Gu, Xin Hu, Pritpal Matharu +3
In this paper, we prove that a local weak solution to the -dimensional incompressible Navier-Stokes equations () can be constructed by taking the hydrodynamic limit of…