3 papers
math.AP2026
Reduced Order Modeling of One-Dimensional Conservative PDEs via the Cumulative Distribution Transform
Harbir Antil, RocÃo DÃaz MartÃn, 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…
physics.optics2026
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…
physics.comp-ph2026
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…