3 papers
physics.hist-ph2024
200 Years of the Navier-Stokes Equation
Sylvio R. Bistafa
The year 2022 marked the 200th anniversary of the first appearance of the Navier-Stokes equation, a landmark in Fluid Dynamics introduced by Claude-Louis Navier in 1822. This equat…
physics.hist-ph2023
Euler's variational approach to the elastica
Sylvio R. Bistafa
The history of the elastica is examined through the works of various contributors, including those of Jacob and Daniel Bernoulli, since its first appearance in a 1690 contest on fi…
physics.flu-dyn2023
Lagrangians for variational formulations of the Navier-Stokes equation
Sylvio R. Bistafa
Variational formulations for viscous flows which lead to the Navier-Stokes equation are examined. Since viscosity leads to dissipation and, therefore, to the irreversible transfer…