compressible fluid dynamics 1entropy solutions 1Euler equations 1partial differential equations 1variational duality 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
A unified duality framework for barotropic, quantum and Korteweg fluids
Dmitry Vorotnikov
The paper develops a unified dual variational framework that simultaneously treats compressible barotropic, quantum, and Euler‑Korteweg fluid models, proving existence of dual solu…
math.AP2025
On the variational dual formulation of the Nash system and an adaptive convex gradient-flow approach to nonlinear PDEs
Dmitry Vorotnikov, Amit Acharya
We investigate the influence of base states on the consistency of the dual variational formulation for quadratic systems of PDEs, which are not necessarily conservative (typical ex…
math.AP2025
Dafermos' principle and Brenier's duality scheme for defocusing dispersive equations
Dmitry Vorotnikov
We discover an abstract structure behind several nonlinear dispersive equations (including the NLS, NLKG and GKdV equations with generic defocusing power-law nonlinearities) that i…