Último Seminario Rubio de Francia del curso 2025/2026: “Energy Conservation and Vanishing Viscosity Limit for the Primitive Equations”.- Lunes 6 de julio
El lunes (¡día no habitual!) 6 de julio de 2026 a las 12:10 h tendrá lugar la última sesión del ciclo de Seminarios Rubio de Francia de la Universidad de Zaragoza del curso 2025/2026 con Tong Tang (Yangzhou University). Impartirá el seminario de título “Energy Conservation and Vanishing Viscosity Limit for the Primitive Equations”.
Toda la información en: http://anamat.unizar.es/seminario.htm
Resumen:
In this talk, we consider the problem of energy conservation for weak solutions of the inviscid Primitive Equations (PE) in a bounded domain. Based on the work [Bardos et al., Onsager's conjecture with physical boundaries and an application to the vanishing viscosity limit, Comm. Math. Phys., 2019, 291-310], we prove the energy conservation for PE with boundary condition under suitable Onsager-type assumptions. But due to the special structure of PE system and its domain, some new challenging difficulties arise: the lack of information about the vertical velocity, and existing corner points in the domain. We introduce some new ideas to overcome the above obstacles. As a byproduct, we give a sufficient condition for absence of anomalous energy dissipation in the vanishing viscosity limit.
