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physics.flu-dyn2026
The Extended KdV Equation: Augmented Lagrangian and Variational Solitary Waves with Applications to Dispersive Hydrodynamics
Saleh Baqer, Hamid Said
In this work, we extend the method of averaged Lagrangian to the study of the general second-order (non-conservative) extended Korteweg--de Vries equation, known as the eKdV equati…
physics.flu-dyn2024
A Principle of Maximum Entropy for the Navier-Stokes Equations
Gui-Qiang G. Chen, James Glimm, Hamid Said
A principle of maximum entropy is proposed in the context of viscous incompressible flow in Eulerian coordinates. The relative entropy functional, defined over the space of d…