Edit Profile (opens in new tab) Rodrigues, Luis Miguel Co-Author Distance Author ID: rodrigues.luis-miguel Published as: Rodrigues, L. Miguel; Rodrigues, Luis Miguel; Rodrigues, L. M.; Miguel Rodrigues, Luis more...less Homepage: https://perso.univ-rennes1.fr/luis-miguel.rodrigues/ External Links: MGP Documents Indexed: 49 Publications since 2008, including 15 Additional arXiv Preprints Co-Authors: 20 Co-Authors with 40 Joint Publications 350 Co-Co-Authors all top 5 Co-Authors 5 single-authored 16 Noble, Pascal 14 Zumbrun, Kevin R. 11 Johnson, Mathew A. 6 Barker, Blake 5 Benzoni-Gavage, Sylvie 5 Filbet, Francis 3 Mietka, Colin 3 Yang, Zhao 2 Audiard, Corentin 2 Duchêne, Vincent 2 Faye, Grégory 2 Herda, Maxime 2 Sun, Changzhen 1 A., José M. 1 Blochas, Paul 1 Carrilho, João 1 Carvalho, Bruno M. 1 De Moor, Sylvain 1 de Paiva, Ely Carneiro 1 Gallay, Thierry 1 Garénaux, Louis 1 João, Maria 1 Kabil, Buğra 1 Kaptsov, Maxim 1 Matos, de 1 Vovelle, Julien 1 Zakerzadeh, Hamed all top 5 Serials 3 Nonlinearity 3 Indiana University Mathematics Journal 3 SIAM Journal on Mathematical Analysis 2 Archive for Rational Mechanics and Analysis 2 SIAM Journal on Numerical Analysis 2 Physica D 2 Journal of Nonlinear Science 2 Kinetic and Related Models 1 Communications in Mathematical Physics 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Bulletin de la Société Mathématique de France 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Numerische Mathematik 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Analysis & PDE 1 Journal de l’École Polytechnique – Mathématiques 1 Water Waves all top 5 Fields 35 Partial differential equations (35-XX) 15 Dynamical systems and ergodic theory (37-XX) 12 Fluid mechanics (76-XX) 4 Numerical analysis (65-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 384 times in 159 Documents Cited by ▼ Year ▼ Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations. Zbl 1304.35192 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 40 2014 Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation. Zbl 1304.35184 Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 38 2013 Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic field. Zbl 1342.35392 Filbet, Francis; Rodrigues, Luis Miguel 30 2016 Nonlocalized modulation of periodic reaction diffusion waves: the Whitham equation. Zbl 1270.35106 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 27 2013 Asymptotically preserving particle-in-cell methods for inhomogeneous strongly magnetized plasmas. Zbl 1422.82006 Filbet, Francis; Rodrigues, Luis Miguel 23 2017 Nonlocalized modulation of periodic reaction diffusion waves: nonlinear stability. Zbl 1276.35031 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 23 2013 Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids. Zbl 1308.35021 Benzoni-Gavage, S.; Noble, P.; Rodrigues, L. M. 22 2014 Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit. Zbl 1310.35035 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 18 2015 Whitham’s modulation equations and stability of periodic wave solutions of the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 1296.35161 Noble, Pascal; Miguel Rodrigues, Luis 18 2013 Co-periodic stability of periodic waves in some Hamiltonian PDEs. Zbl 1362.35037 Benzoni-Gavage, S.; Mietka, C.; Rodrigues, L. M. 16 2016 Stability of periodic Kuramoto-Sivashinsky waves. Zbl 1238.35094 Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 13 2012 Spectral stability of inviscid roll waves. Zbl 1455.35013 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Yang, Zhao; Zumbrun, Kevin 12 2019 Metastability of solitary roll wave solutions of the St. Venant equations with viscosity. Zbl 1223.37109 Barker, Blake; Johnson, Mathew A.; Rodrigues, L. Miguel; Zumbrun, Kevin 11 2011 Large-time behavior of solutions to Vlasov-Poisson-Fokker-Planck equations: from evanescent collisions to diffusive limit. Zbl 1392.35311 Herda, Maxime; Rodrigues, L. Miguel 11 2018 Stability of viscous St. Venant roll waves: from onset to infinite Froude number limit. Zbl 1373.35040 Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 10 2017 Anisotropic Boltzmann-Gibbs dynamics of strongly magnetized Vlasov-Fokker-Planck equations. Zbl 1420.35413 Herda, Maxime; Rodrigues, Luis Miguel 9 2019 Linear asymptotic stability and modulation behavior near periodic waves of the Korteweg-de Vries equation. Zbl 1392.35267 Rodrigues, L. Miguel 8 2018 Periodic-coefficient damping estimates, and stability of large-amplitude roll waves in inclined thin film flow. Zbl 1341.35128 Rodrigues, L. Miguel; Zumbrun, Kevin 8 2016 Large-time asymptotic stability of Riemann shocks of scalar balance laws. Zbl 1435.35050 Duchêne, V.; Rodrigues, L. M. 8 2020 Asymptotics of the three-dimensional Vlasov equation in the large magnetic field limit. (Étude asymptotique de L’Équation de Vlasov en dimension \(3\) pour un champ magnétique externe intense.) Zbl 1446.35208 Filbet, Francis; Rodrigues, L. Miguel 6 2020 Stability and instability in scalar balance laws: fronts and periodic waves. Zbl 1504.35052 Duchêne, Vincent; Rodrigues, Luis Miguel 6 2022 Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas. Zbl 1483.35269 Filbet, Francis; Rodrigues, L. Miguel; Zakerzadeh, Hamed 5 2021 Spectral validation of the Whitham equations for periodic waves of lattice dynamical systems. Zbl 1382.35135 Kabil, Buğra; Rodrigues, L. Miguel 4 2016 Modulated equations of Hamiltonian PDEs and dispersive shocks. Zbl 1457.35052 Benzoni-Gavage, Sylvie; Mietka, Colin; Rodrigues, Luis Miguel 4 2021 Vortex-like finite-energy asymptotic profiles for isentropic compressible flows. Zbl 1170.76046 Rodrigues, L. Miguel 3 2009 About plane periodic waves of the nonlinear Schrödinger equations. Zbl 1501.35362 Audiard, Corentin; Rodrigues, L. Miguel 3 2022 Stability of periodic waves in Hamiltonian PDEs of either long wavelength or small amplitude. Zbl 1450.35055 Benzoni-Gavage, S.; Mietka, C.; Rodrigues, L. M. 3 2020 Sur le temps de vie de la turbulence bidimensionnelle. (On the lifetime of the two-dimensional turbulence.) Zbl 1159.76019 Gallay, Thierry; Rodrigues, Luis Miguel 2 2008 Invariant measures for a stochastic Fokker-Planck equation. Zbl 1405.60089 De Moor, Sylvain; Rodrigues, Luis Miguel; Vovelle, Julien 2 2018 Convective-wave solutions of the Richard-Gavrilyuk model for inclined shallow-water flow. Zbl 1516.35340 Rodrigues, L. Miguel; Yang, Zhao; Zumbrun, Kevin 1 2023 Convective-wave solutions of the Richard-Gavrilyuk model for inclined shallow-water flow. Zbl 1516.35340 Rodrigues, L. Miguel; Yang, Zhao; Zumbrun, Kevin 1 2023 Stability and instability in scalar balance laws: fronts and periodic waves. Zbl 1504.35052 Duchêne, Vincent; Rodrigues, Luis Miguel 6 2022 About plane periodic waves of the nonlinear Schrödinger equations. Zbl 1501.35362 Audiard, Corentin; Rodrigues, L. Miguel 3 2022 Convergence analysis of asymptotic preserving schemes for strongly magnetized plasmas. Zbl 1483.35269 Filbet, Francis; Rodrigues, L. Miguel; Zakerzadeh, Hamed 5 2021 Modulated equations of Hamiltonian PDEs and dispersive shocks. Zbl 1457.35052 Benzoni-Gavage, Sylvie; Mietka, Colin; Rodrigues, Luis Miguel 4 2021 Large-time asymptotic stability of Riemann shocks of scalar balance laws. Zbl 1435.35050 Duchêne, V.; Rodrigues, L. M. 8 2020 Asymptotics of the three-dimensional Vlasov equation in the large magnetic field limit. (Étude asymptotique de L’Équation de Vlasov en dimension \(3\) pour un champ magnétique externe intense.) Zbl 1446.35208 Filbet, Francis; Rodrigues, L. Miguel 6 2020 Stability of periodic waves in Hamiltonian PDEs of either long wavelength or small amplitude. Zbl 1450.35055 Benzoni-Gavage, S.; Mietka, C.; Rodrigues, L. M. 3 2020 Spectral stability of inviscid roll waves. Zbl 1455.35013 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Yang, Zhao; Zumbrun, Kevin 12 2019 Anisotropic Boltzmann-Gibbs dynamics of strongly magnetized Vlasov-Fokker-Planck equations. Zbl 1420.35413 Herda, Maxime; Rodrigues, Luis Miguel 9 2019 Large-time behavior of solutions to Vlasov-Poisson-Fokker-Planck equations: from evanescent collisions to diffusive limit. Zbl 1392.35311 Herda, Maxime; Rodrigues, L. Miguel 11 2018 Linear asymptotic stability and modulation behavior near periodic waves of the Korteweg-de Vries equation. Zbl 1392.35267 Rodrigues, L. Miguel 8 2018 Invariant measures for a stochastic Fokker-Planck equation. Zbl 1405.60089 De Moor, Sylvain; Rodrigues, Luis Miguel; Vovelle, Julien 2 2018 Asymptotically preserving particle-in-cell methods for inhomogeneous strongly magnetized plasmas. Zbl 1422.82006 Filbet, Francis; Rodrigues, Luis Miguel 23 2017 Stability of viscous St. Venant roll waves: from onset to infinite Froude number limit. Zbl 1373.35040 Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 10 2017 Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic field. Zbl 1342.35392 Filbet, Francis; Rodrigues, Luis Miguel 30 2016 Co-periodic stability of periodic waves in some Hamiltonian PDEs. Zbl 1362.35037 Benzoni-Gavage, S.; Mietka, C.; Rodrigues, L. M. 16 2016 Periodic-coefficient damping estimates, and stability of large-amplitude roll waves in inclined thin film flow. Zbl 1341.35128 Rodrigues, L. Miguel; Zumbrun, Kevin 8 2016 Spectral validation of the Whitham equations for periodic waves of lattice dynamical systems. Zbl 1382.35135 Kabil, Buğra; Rodrigues, L. Miguel 4 2016 Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit. Zbl 1310.35035 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 18 2015 Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations. Zbl 1304.35192 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 40 2014 Slow modulations of periodic waves in Hamiltonian PDEs, with application to capillary fluids. Zbl 1308.35021 Benzoni-Gavage, S.; Noble, P.; Rodrigues, L. M. 22 2014 Nonlinear modulational stability of periodic traveling-wave solutions of the generalized Kuramoto-Sivashinsky equation. Zbl 1304.35184 Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 38 2013 Nonlocalized modulation of periodic reaction diffusion waves: the Whitham equation. Zbl 1270.35106 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 27 2013 Nonlocalized modulation of periodic reaction diffusion waves: nonlinear stability. Zbl 1276.35031 Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 23 2013 Whitham’s modulation equations and stability of periodic wave solutions of the Korteweg-de Vries-Kuramoto-Sivashinsky equation. Zbl 1296.35161 Noble, Pascal; Miguel Rodrigues, Luis 18 2013 Stability of periodic Kuramoto-Sivashinsky waves. Zbl 1238.35094 Barker, Blake; Johnson, Mathew A.; Noble, Pascal; Rodrigues, L. Miguel; Zumbrun, Kevin 13 2012 Metastability of solitary roll wave solutions of the St. Venant equations with viscosity. Zbl 1223.37109 Barker, Blake; Johnson, Mathew A.; Rodrigues, L. Miguel; Zumbrun, Kevin 11 2011 Vortex-like finite-energy asymptotic profiles for isentropic compressible flows. Zbl 1170.76046 Rodrigues, L. Miguel 3 2009 Sur le temps de vie de la turbulence bidimensionnelle. (On the lifetime of the two-dimensional turbulence.) Zbl 1159.76019 Gallay, Thierry; Rodrigues, Luis Miguel 2 2008 all cited Publications top 5 cited Publications all top 5 Cited by 199 Authors 27 Rodrigues, Luis Miguel 22 Zumbrun, Kevin R. 17 Johnson, Mathew A. 10 Barker, Blake 10 Noble, Pascal 8 Filbet, Francis 8 Sandstede, Björn 7 Jung, Soyeun 6 Perkins, Wesley R. 6 Schneider, Guido 6 Yang, Zhao 5 Crouseilles, Nicolas 5 de Rijk, Björn 5 Gavrilyuk, Sergey L. 5 Zhao, Xiaofei 4 Marangell, Robert 4 Wang, Bin 3 Benzoni-Gavage, Sylvie 3 Blaustein, Alain 3 Bridges, Thomas J. 3 Chacón, Luis 3 Chartier, Philippe 3 Hoefer, Mark A. 3 Lemou, Mohammed 3 Lyng, Gregory Daniel 3 Marzuola, Jeremy Louis 3 Méhats, Florian 3 Mietka, Colin 3 Papageorgiou, Demetrios T. 3 Plaza, Ramón G. 3 Shyue, Keh-Ming 3 Sukhtayev, Alim 3 Yao, Jinghua 2 Addala, Lanoir 2 Avery, Montie 2 Beck, Margaret 2 Bostan, Mihai 2 Camassa, Roberto 2 Chen, Guangye 2 Duchêne, Vincent 2 Hairer, Ernst 2 Haragus, Mariana 2 Herda, Maxime 2 Hilder, Bastian 2 Hirstoaga, Sever A. 2 Humpherys, Jeffrey 2 Jiang, Yaolin 2 Kalogirou, Anna 2 Kostianko, Anna 2 Lubich, Christian 2 Mehrenberger, Michel 2 Negulescu, Claudia 2 Ogrosky, H. Reed 2 Ricketson, Lee Forrest 2 Scheel, Arnd 2 Shi, Yanyan 2 Sun, Yajuan 2 Swygert, Sterling R. 2 Wang, Bin 1 Abeya, Asela 1 Alvarez, Enrique E. 1 Amaral, Sabrina 1 Angulo Pava, Jaime 1 Antonelli, Paolo 1 Arnold, Anton 1 Audiard, Corentin 1 Aursand, Peder K. 1 Barré, Julien 1 Barsamian, Yann 1 Bernier, Joackim 1 Beyn, Wolf-Jürgen 1 Biondini, Gino 1 Blom, Astrid 1 Bobylev, Alexandre Vasiljévitch 1 Borluk, Handan 1 Boscarino, Sebastiano 1 Breton, Louis 1 Bronski, Jared C. 1 Carlen, Eric Anders 1 Castro-Díaz, Manuel Jesús 1 Chauleur, Quentin 1 Chavarrías, Víctor 1 Chentouf, Boumediène 1 Claassen, Kyle M. 1 Clarke, William A. 1 Crevat, Joachim 1 Després, Bruno 1 Desvillettes, Laurent 1 Döding, Christian 1 Dolbeault, Jean 1 Dou, Xu’an 1 Düll, Wolf-Patrick 1 Dullin, Holger R. 1 Dumbser, Michael 1 El, Gennady A. 1 Faou, Erwan 1 Favre, Gianluca 1 Favrie, Nicolas 1 Faye, Grégory 1 Flåtten, Tore ...and 99 more Authors all top 5 Cited in 68 Serials 17 Journal of Differential Equations 12 Physica D 11 Journal of Computational Physics 11 SIAM Journal on Mathematical Analysis 9 Archive for Rational Mechanics and Analysis 9 Nonlinearity 6 Studies in Applied Mathematics 5 Kinetic and Related Models 4 Communications in Mathematical Physics 3 Journal of Statistical Physics 3 Numerische Mathematik 3 SIAM Journal on Applied Mathematics 2 Journal of Fluid Mechanics 2 SIAM Journal on Numerical Analysis 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of Scientific Computing 2 Journal of Nonlinear Science 2 Multiscale Modeling & Simulation 2 Oberwolfach Reports 2 Discrete and Continuous Dynamical Systems. Series S 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Water Waves 1 Computers and Fluids 1 Computer Physics Communications 1 Inverse Problems 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 BIT 1 Bulletin de la Société Mathématique de France 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Memoirs of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Bulletin of the Korean Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 MCSS. Mathematics of Control, Signals, and Systems 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Hyperbolic Differential Equations 1 Mediterranean Journal of Mathematics 1 Acta Numerica 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 Advances in Mathematical Physics 1 S\(\vec{\text{e}}\)MA Journal 1 Advances in Nonlinear Analysis 1 Journal de l’École Polytechnique – Mathématiques 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Communications of the American Mathematical Society all top 5 Cited in 23 Fields 137 Partial differential equations (35-XX) 42 Numerical analysis (65-XX) 40 Fluid mechanics (76-XX) 25 Dynamical systems and ergodic theory (37-XX) 22 Statistical mechanics, structure of matter (82-XX) 16 Optics, electromagnetic theory (78-XX) 10 Ordinary differential equations (34-XX) 5 Mechanics of deformable solids (74-XX) 4 Operator theory (47-XX) 3 Integral equations (45-XX) 2 General and overarching topics; collections (00-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year