Publications

N. Bernhoff, Laurent Boudin, Milana Cotic, Berenice Grec,听Compactness of linearized Boltzmann operators for polyatomic gases, in Mathematical models for interacting dynamics on networks (mat-dyn-net), accepted, 2024, 25pp.,听听
N. Bernhoff, Discrete Boltzmann equation for anyons, in Mathematical models for interacting dynamics on networks (mat-dyn-net), accepted, 2024, 15pp.
N. Bernhoff, , J. Math. Chem., 62, 2024, 1935-1964
N. Bernhoff, , J. Stat. Phys., 191, 2024, 32:1-35
N. Bernhoff,, J. Math. Anal. Appl., 537, 2024, 128265:1-31
N. Bernhoff, , Int. J. Math., 34, 2023, 2350091:1-41听()
N. Bernhoff, , La Mat., 2, 2023, 836-860
N. Bernhoff, , Kinet. Relat. Models, 16, 2023, 828-849 (arXiv: )
N. Bernhoff, , in From Kinetic Theory to Turbulence Modeling, P. Barbante, F.D. Belgiorno, S. Lorenzani, and L. Valdettaro,听eds., Springer, 2023, pp. 45-57
N. Bernhoff, , Acta Appl. Math. 183, 2023, 3:1-45
N. Bernhoff and F. Golse, , Arch. Ration. Mech. Anal., 240, 2021, 51-98 听Arch. Ration. Mech. Anal., 241, 2021, 137

The following article appeared in AIP Conference Proceedings 2132 and may be found at

N. Bernhoff, Discrete Quantum Boltzmann Equation, AIP Conf. Proc., 2132, 2019, pp.130011-1-9
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing
N. Bernhoff, , J. Stat. Phys., 172, 2018, 742-761
N. Bernhoff, Boundary Layers for Discrete Kinetic Models: Multicomponent Mixtures, Polyatomic Molecules, Bimolecular Chemical Reactions, and Quantum Kinetic Equations, Kinet. Relat. Models, 10, 2017, 925-955
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Kinetic and Related Models following peer review. The definitive publisher-authenticated version is available online at:

The following article appeared in AIP Conference Proceedings 1786 and may be found at

N. Bernhoff, Discrete Velocity Models for Multicomponent Mixtures and Polyatomic Molecules without Nonphysical Collision Invariants and Shock Profiles, AIP Conf. Proc., 1786, 2016, 040005-1-8
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing
N. Bernhoff and M. Vinerean, , J. Stat. Phys., 165, 2016, 434-453
N. Bernhoff, , Int. J. Differ. Equ., 2016, 2016, 5801728:1-8
N. Bernhoff, Half-Space Problems for a Linearized Discrete Quantum Kinetic Equation, J. Stat. Phys., 159, 2015, 358-379
The final publication is available at www.springerlink.com

The following article appeared in AIP Conference Proceedings 1501 and may be found at

N. Bernhoff, Boundary Layers for the Nonlinear Discrete Boltzmann Equation: Condensing Vapor Flow in the Presence of a Non-Condensable Gas, AIP Conf. Proc., 1501, 2012, 223-230
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing
N. Bernhoff, Half-Space Problem for the Discrete Boltzmann Equation: Condensing Vapor Flow in the Presence of a Non-Condensable Gas, J. Stat. Phys., 147, 2012, 1156-1181
The final publication is available at www.springerlink.com
N. Bernhoff, Boundary Layers and Shock Profiles for the Discrete Boltzmann Equation for Mixtures, Kinet. Relat. Models, 5, 2012, 1-19
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Kinetic and Related Models following peer review. The definitive publisher-authenticated version is available online at:听
N. Bernhoff, On Half-Space Problems for the Weakly Non-Linear Discrete Boltzmann Equation, Kinet. Relat. Models, 3, 2010, 195-222
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Kinetic and Related Models following peer review. The definitive publisher-authenticated version is available online at:
N. Bernhoff, , Nuovo Cim., 33 C, 2010, 47-54
The original publication is available at http://www.sif.it/SIF/en/portal/journals
N. Bernhoff, , Riv. Mat. Univ. Parma, 9, 2008, 73-124
N. Bernhoff and A.V. Bobylev, , Commun. Math. Sci., 5, 2007, 815-832
N. Bernhoff and A.V. Bobylev, Weak Shock Wave Solutions for the Discrete Boltzmann Equation, Rarefied Gas Dynamics: Proceeedings of the 25th International Symposium on Rarefied Gas Dynamics, Saint-Petersburg, Russia, July 21-28, 2006, M.S. Ivanov and A.K. Rebrov, eds., Publishing House of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 2007, pp.173-178
A.V. Bobylev and N. Bernhoff, Discrete Velocity Models and Dynamical Systems, in Lecture Notes on the Discretization of the Boltzmann Equation, N. Bellomo and R. Gatignol, eds., World Scientific Publishing Co, 2003, pp.203-222 (Google Book Search)

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Publications