Publications

Modulated equations of Hamiltonian PDEs and dispersive shocks.
S. Benzoni-Gavage, C. Mietka, and L.M. Rodrigues.
Nonlinearity, Vol. 34 (2021), no. 1, p. 578-641.

Stability of periodic waves in Hamiltonian PDEs of either long wave-length or small amplitude.
S. Benzoni-Gavage, C. Mietka, and L.M. Rodrigues.
Indiana University Mathematics Journal, Vol. 69 (2020), no. 2, p. 545-619.

Ondes périodiques dans des systèmes d’ÉDP hamiltoniens. Stabilité, modulations et chocs dispersifs.
C. Mietka - 2017. Thesis Manuscript

On the well-posedness of a quasi-linear Korteweg-de Vries equation.
C. Mietka.
Annales Mathématiques Blaise Pascal, Tome 24 (2017) no. 1, pp. 83-114.

Co-periodic stability of periodic waves in some Hamiltonian PDEs.
S. Benzoni-Gavage, C. Mietka, L.M. Rodrigues.
Nonlinearity, Vol. 29 (2016), no. 11, p. 3241-3308.

Study of a depressurisation process at low Mach number in a nuclear reactor core.
A. Bondesan, S. Dellacherie, H. Hivert, J. Jung, V. Lleras, C. Mietka and Y. Penel
ESAIM: Proceedings and Surveys, EDP Sciences, 2016, CEMRACS 2015: Coupling multi-physics models involving fluids, 55, pp.41-60.

Acoustic Propagation in a Vortical Homentropic Flow.
J-F. Mercier, C. Mietka, F. Millot, V. Pagneux - 2014.