A Variational Formulation for Modeling a Fluid Motion in an Euler–Bernoullian Context: A Detailed Development

ABSTRACT This article develops a variational formulation for modeling a compressible electronic fluid motion. The results are based on standard tools of calculus of variations and optimization theory. Moreover, the context here addressed is essentially an Euler–Bernoullian one and includes also a new approximate Bernoulli‐perfect‐gas equation. Finally, it is worth highlighting, with the inclusion of such a new Bernoulli‐perfect‐gas equation, we have established a new system of partial differential equations suitable for modeling a compressible case in fluid mechanics.