A Variational Principle of Minimum for Navier-Stokes Equation Based on the Symplectic Formalism

Author:

de Saxcé GéryORCID

Publisher

Springer Nature Switzerland

Reference22 articles.

1. Barbaresco, F.: Symplectic foliation structures of non-equilibrium thermodynamics as dissipation model: application to metriplectic nonlinear lindblad quantum master equation. Entropy 24, 1626 (2022)

2. Brockett, R.W.: Control theory and analytical mechanics. In: Martin, C., Hermann, R. (eds.) Geometric Control Theory. Lie Groups: History, Frontiers and Applications VII, pp. 1–46. Mathematical Science Press, Brookline (1977)

3. Buliga, M.: Hamiltonian inclusions with convex dissipation with a view towards applications. Math. Appl. 1(2), 225–228 (2009)

4. Buliga, M., de Saxcé, G.: A symplectic Brezis-Ekeland-Nayroles principle. Math. Mech. Solids 1–15 (2016). https://doi.org/10.1177/1081286516629532

5. Cao, X., Oueslati, A., Nguyen, A.D., de Saxcé, G.: Numerical simulation of elasto-plastic problems by Brezis-Ekeland-Nayroles non-incremental variational principle. Comput. Mech. 65(4), 1006–1018 (2020)

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