AN
Alessia Nota
math.MPmath-phmath.APmath.PR
On Valency
published · living versionsW_nqrwf6ee·v1 · currentpublished
The Landau equation: Well-posedness and singularities of homoenergetic solutions
with Francisco-Unai Caja-Lopez, Maria Pia Gualdani
1 version
Preprints & journals
28 papers in the corpus · 2013–2026Non Maxwellian long-time asymptotics for Homoenergetic Boltzmann flows under strong shear2605.27695v1 · Alessia Nota, Juan J.L. Vel'azquez2026 · 0 citationsarXiv
Boltzmann-Grad limit for the inelastic Lorentz gas: Part I. Existence, uniqueness, and rigorous derivation via weak convergence2511.02934v1 · Th'eophile Dolmaire, Alessia Nota2025 · 0 citationsarXiv
Asymptotic Velocity Profiles for Homoenergetic Rayleigh-Boltzmann Flows under Dominant Shear2506.15449v2 · Nicola Miele, Alessia Nota, Juan J. L. Vel'azquez2025 · 0 citationsarXiv
The global attractor of the inelastic linear Boltzmann equation in a gravity field for Maxwell molecules2504.02155v2 · Th'eophile Dolmaire, Nicola Miele, Alessia Nota2025 · 0 citationsarXiv
Homoenergetic solutions for the Rayleigh-Boltzmann equation: existence of a stationary non-equilibrium solution2501.14454v1 · Nicola Miele, Alessia Nota, Juan J. L. Vel'azquez2025 · 0 citationsarXiv
Diffusion Limit of the Low-Density Magnetic Lorentz Gas2412.11134v1 · Alessia Nota, Dominik Nowak, Chiara Saffirio2024 · 0 citationsarXiv
Coagulation equations with source leading to anomalous self-similarity2305.16921v1 · Marina A. Ferreira, Eugenia Franco, Jani Lukkarinen et al.2023 · 1 citationarXiv
Vanishing angular singularity limit to the hard-sphere Boltzmann equation2209.14075v1 · Jin Woo Jang, Bernhard Kepka, Alessia Nota et al.2022 · 3 citationsarXiv
Non-power law constant flux solutions for the Smoluchowski coagulation equation2207.09518v2 · Marina A. Ferreira, Jani Lukkarinen, Alessia Nota et al.2022 · 0 citationsarXiv
Asymptotic localization in multicomponent mass conserving coagulation equations2203.08076v1 · Marina A. Ferreira, Jani Lukkarinen, Alessia Nota et al.2022 · 1 citationPure Appl. Analysis 6 (2024) 731-764
Multicomponent coagulation systems: existence and non-existence of stationary non-equilibrium solutions2103.12763v1 · Marina A. Ferreira, Jani Lukkarinen, Alessia Nota et al.2021 · 1 citationarXiv
Interacting particle systems with long range interactions: approximation by tagged particles in random fields2103.09740v1 · Alessia Nota, Juan J. L. Vel'azquez, Raphael Winter2021 · 5 citationsarXiv
Localization in stationary non-equilibrium solutions for multicomponent coagulation systems2006.14840v2 · Marina A. Ferreira, Jani Lukkarinen, Alessia Nota et al.2020 · 7 citationsarXiv
Interacting particle systems with long-range interactions: scaling limits and kinetic equations2003.11605v2 · Alessia Nota, Juan J. L. Vel'azquez, Raphael Winter2020 · 8 citationsarXiv
Two-dimensional Lorentz process for magnetotransport: Boltzmann-Grad limit1910.12983v4 · Alessia Nota, Chiara Saffirio, Sergio Simonella2019 · 1 citationarXiv
Stationary non-equilibrium solutions for coagulation systems1909.10608v3 · Marina A. Ferreira, Jani Lukkarinen, Alessia Nota et al.2019 · 15 citationsarXiv
Long time asymptotics for homoenergetic solutions of the Boltzmann equation. Hyperbolic-dominated case1906.08816v1 · Richard D. James, Alessia Nota, Juan J. L. Vel'azquez2019 · 15 citationsarXiv
A Kac model for kinetic annihilation1904.03447v1 · Bertrand Lods, Alessia Nota, Federica Pezzotti2019 · 1 citationarXiv
Self-similar asymptotic behavior for the solutions of a linear coagulation equation1804.08886v1 · Barbara Niethammer, Alessia Nota, Sebastian Throm et al.2018 · 13 citationsarXiv
Self-similar profiles for homoenergetic solutions of the Boltzmann equation: particle velocity distribution and entropy1710.03653v1 · Richard D. James, Alessia Nota, Juan J. L. Vel'azquez2017 · 29 citationsarXiv
On the theory of Lorentz gases with long range interactions1707.04193v1 · Alessia Nota, Sergio Simonella, Juan J.L. Vel'azquez2017 · 9 citationsRev. Math. Phys. 30 (2018)
Harmonic chain with velocity flips: thermalization and kinetic theory1604.08135v2 · Jani Lukkarinen, Matteo Marcozzi, Alessia Nota2016 · 6 citationsJournal of Statistical Physics, 165(5), 809--844 (2016)
Summability of joint cumulants of nonindependent lattice fields1601.08163v1 · Jani Lukkarinen, Matteo Marcozzi, Alessia Nota2016 · 8 citationsJ. Stat. Phys. 171(2) (2018) 189-206
Derivation of the linear Landau equation and linear Boltzmann equation from the Lorentz model with magnetic field1507.02451v2 · Matteo Marcozzi, Alessia Nota2015 · 10 citationsJ Stat Phys (2016) 162: 1539
Fick's Law for the Lorentz Model in a weak coupling regime1411.6474v1 · Alessia Nota2014 · 0 citationsarXiv
Diffusive limit for the random Lorentz gas1410.3765v1 · Alessia Nota2014 · 5 citationsFrom Particle Systems to Partial Differential Equations II Vol. 129 Springer Proceedings in Mathematics & Statistics pp 273-292 ( 2015)
Derivation of the Fick's Law for the Lorentz Model in a low density regime1404.4186v2 · Giada Basile, Alessia Nota, Federica Pezzotti et al.2014 · 20 citationsComm. Math. Phys. 336, 1607-1636 (2015)
A diffusion limit for a test particle in a random distribution of scatterers1307.2157v1 · Giada Basile, Alessia Nota, Mario Pulvirenti2013 · 18 citationsJournal of Statistical Physics, 155 (6), 1087-1111 (2014)
Career total: 36 works. 28 are in this corpus.
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