4 papers
QH-GEM: Quantum-Hydrodynamic Generative Modeling
Harbir Antil, Alex Kaltenbach, Sarswati Shah
In this paper, we develop a deterministic, physically constrained generative framework based on the Madelung formulation of the free-particle Schrödinger equation. A reference Born…
Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform
Harbir Antil, Rocío Díaz Martín, Ivan V. Medri +4
We propose a reduced order modeling (ROM) framework for 1D conservative PDEs based on the cumulative distribution transform (CDT). The CDT maps nonnegative, equal-mass states into…
Polarization-Induced Beam Bending: Mathematical Model, Discretization, and Algorithm
Harbir Antil, Rainald Löhner, Sarswati Shah
We study a reduced hydrodynamic formulation of paraxial vector beam propagation in which the beam intensity, optical phase, and spatially-dependent polarization are coupled through…
A new model for two-layer liquid-gas stratified flows in pipes with general cross sections
Sarswati Shah, Gerardo Hernández-Dueñas
In this work, we derive a new model for immiscible two-layer gas-liquid stratified flows in pipes with general cross sections. The bottom layer is occupied by an incompressible flu…