Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations MA Johnson, P Noble, LM Rodrigues, K Zumbrun Inventiones mathematicae 197 (1), 115-213, 2014 | 93 | 2014 |
Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto–Sivashinsky equation B Barker, MA Johnson, P Noble, LM Rodrigues, K Zumbrun Physica D: Nonlinear Phenomena 258, 11-46, 2013 | 73 | 2013 |
Asymptotically stable particle-in-cell methods for the Vlasov--Poisson system with a strong external magnetic field F Filbet, LM Rodrigues SIAM Journal on Numerical Analysis 54 (2), 1120-1146, 2016 | 63 | 2016 |
Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids S Benzoni-Gavage, P Noble, LM Rodrigues Journal of Nonlinear Science 24, 711-768, 2014 | 52 | 2014 |
Nonlocalized modulation of periodic reaction diffusion waves: the Whitham equation MA Johnson, P Noble, LM Rodrigues, K Zumbrun Archive for Rational Mechanics and Analysis 207 (2), 669-692, 2013 | 51 | 2013 |
Nonlocalized modulation of periodic reaction diffusion waves: nonlinear stability MA Johnson, P Noble, LM Rodrigues, K Zumbrun Archive for Rational Mechanics and Analysis 207 (2), 693-715, 2013 | 47* | 2013 |
Stability of viscous St. Venant roll waves: from onset to infinite Froude number limit B Barker, MA Johnson, P Noble, LM Rodrigues, K Zumbrun Journal of Nonlinear Science 27, 285-342, 2017 | 45* | 2017 |
Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit M Johnson, P Noble, L Rodrigues, K Zumbrun Transactions of the American Mathematical Society 367 (3), 2159-2212, 2015 | 40 | 2015 |
Asymptotically preserving particle-in-cell methods for inhomogeneous strongly magnetized plasmas F Filbet, LM Rodrigues SIAM Journal on Numerical Analysis 55 (5), 2416-2443, 2017 | 37 | 2017 |
Large-time behavior of solutions to Vlasov-Poisson-Fokker-Planck equations: from evanescent collisions to diffusive limit M Herda, LM Rodrigues Journal of Statistical Physics 170 (5), 895-931, 2018 | 34 | 2018 |
Co-periodic stability of periodic waves in some Hamiltonian PDEs S Benzoni-Gavage, C Mietka, LM Rodrigues Nonlinearity 29 (11), 3241, 2016 | 34 | 2016 |
Whitham averaged equations and modulational stability of periodic traveling waves of a hyperbolic-parabolic balance law B Barker, MA Johnson, P Noble, LM Rodrigues, K Zumbrun Journées équations aux dérivées partielles, 1-24, 2010 | 32* | 2010 |
Spectral stability of inviscid roll waves MA Johnson, P Noble, LM Rodrigues, Z Yang, K Zumbrun Communications in Mathematical Physics 367, 265-316, 2019 | 31 | 2019 |
Periodic-coefficient damping estimates, and stability of large-amplitude roll waves in inclined thin film flow LM Rodrigues, K Zumbrun SIAM Journal on Mathematical Analysis 48 (1), 268-280, 2016 | 31 | 2016 |
Whitham's modulation equations and stability of periodic wave solutions of the Korteweg-de Vries-Kuramoto-Sivashinsky equation P Noble, LM Rodrigues Indiana University Mathematics Journal, 753-783, 2013 | 31* | 2013 |
Metastability of solitary roll wave solutions of the St. Venant equations with viscosity B Barker, MA Johnson, LM Rodrigues, K Zumbrun Physica D: Nonlinear Phenomena 240 (16), 1289-1310, 2011 | 31* | 2011 |
Stability of periodic Kuramoto–Sivashinsky waves B Barker, MA Johnson, P Noble, LM Rodrigues, K Zumbrun Applied Mathematics Letters 25 (5), 824-829, 2012 | 30 | 2012 |
Anisotropic boltzmann-gibbs dynamics of strongly magnetized vlasov-fokker-planck equations M Herda, LM Rodrigues arXiv preprint arXiv:1610.05138, 2016 | 25 | 2016 |
Asymptotic stability and modulation of periodic wavetrains, general theory & applications to thin film flows LM Rodrigues Habilitationa diriger des recherches, Université Lyon 1, 2013 | 24* | 2013 |
Modulated equations of Hamiltonian PDEs and dispersive shocks S Benzoni-Gavage, C Mietka, LM Rodrigues Nonlinearity 34 (1), 578, 2021 | 20 | 2021 |