Stability of periodic Kuramoto-Sivashinsky waves. - Blake Barker; Mathew A. Johnson; Pascal Noble; Luis Miguel Rodrigues; Kevin Zumbrun (Appl. Math. Lett., 2012)

Slow Modulations of Periodic Waves in Hamiltonian PDEs, with Application to Capillary Fluids. - Sylvie Benzoni-Gavage; Pascal Noble; Luis Miguel Rodrigues (J. Nonlinear Sci., 2014)

Periodic-Coefficient Damping Estimates, and Stability of Large-Amplitude Roll Waves in Inclined Thin Film Flow. - Luis Miguel Rodrigues; Kevin Zumbrun (SIAM J. Math. Anal., 2016)

Asymptotically Stable Particle-In-Cell Methods for the Vlasov-Poisson System with a Strong External Magnetic Field. - Francis Filbet; Luis Miguel Rodrigues (SIAM J. Numer. Anal., 2016)

Stability of Viscous St. Venant Roll Waves: From Onset to Infinite Froude Number Limit. - Blake Barker; Mathew A. Johnson; Pascal Noble; Luis Miguel Rodrigues; Kevin Zumbrun (J. Nonlinear Sci., 2017)

Asymptotically Preserving Particle-in-Cell Methods for Inhomogeneous Strongly Magnetized Plasmas. - Francis Filbet; Luis Miguel Rodrigues (SIAM J. Numer. Anal., 2017)

Large-Time Asymptotic Stability of Riemann Shocks of Scalar Balance Laws. - Vincent Duchêne; Luis Miguel Rodrigues (SIAM J. Math. Anal., 2020)

Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas. - Francis Filbet; Luis Miguel Rodrigues; Hamed Zakerzadeh (Numerische Mathematik, 2021)

Asymptotically preserving particle methods for strongly magnetizedplasmas in a torus. - Francis Filbet; Luis Miguel Rodrigues (CoRR, 2022)

Asymptotically preserving particle methods for strongly magnetized plasmas in a torus. - Francis Filbet; Luis Miguel Rodrigues (J. Comput. Phys., 2023)

Exponential Asymptotic Stability of Riemann Shocks of Hyperbolic Systems of Balance Laws. - Grégory Faye; Luis Miguel Rodrigues (SIAM J. Math. Anal., 2023)

A modified Crank-Nicolson scheme for the Vlasov-Poisson system with a strong external magnetic field. - Francis Filbet; Luis Miguel Rodrigues; Kim Han Trinh (CoRR, 2025)