4 papers
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…
A study of variational single solitary waves governed by the conservative-extended KdV equation with applications to shallow water dispersive shocks
Saleh Baqer, Hamid Said
The extended KdV equation is a nonlinear dispersive wave model that is asymptotically or variationally derived from the full dispersive Euler shallow water waves equations when gra…
Application of Onsager's Variational Principle to the Navier-Stokes Equations
Hamid A. Said
In this note we propose a basic -based approach for studying the global and local energy equalities of the incompressible 3D Navier-Stokes equations in the standard energy cla…
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…