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        Research in


           Mathematical Physics and

           Partial Differential Equations

I am working on mathematical questions which are related to the understanding of wave
particle interactions in Plasma Physics, nuclear magnetic resonance, Quantum Mechanics,
Particle Physics or Fluid Dynamics.

  Preprints:

 PS N. Besse and C. Cheverry,   Asymptotic analysis of extended magnetohydrodynamics,   38 p., preprint (2025).
 PS N. Besse and C. Cheverry,   The equations of extended magnetohydrodynamics,   40 p., preprint (2024).

  Works accepted for publication or published (during the last 5 years)

 PS C. Cheverry and S. Ibrahim,   Propagation of moments and regularity for the
Vlasov-Maxwell-Bopp-Podolsky model,
  to appear in Communications in Partial Differential Equations.
 PS C. Cheverry and S. Ibrahim,   The relativistic Vlasov-Maxwell system: local smooth
solvability for weak topologies,
  Rev. Mat. Iberoam. 41 (2025), no. 2, 551–602.
 PS C. Cheverry and S. Farhat,   Long time gyrokinetic equations,
  Quarterly of Applied Mathematics 82, No. 3 (2024).
 PS C. Cheverry and S. Farhat,   A paradigm for the creation of scales and phases in nonlinear
evolution equations,
  Electronic Journal of Differential Equations, No. 9, 59 p. (2023).
 PS R. Carles and C. Cheverry,   Turbulent effects through quasi-rectification,   105 p.,
Mémoires de la Société de France, No 174 (2022).
 PS C. Cheverry, S. Ibrahim and D. Preissl,   Uniform Lifetime for Classical Solutions to
the Hot, Magnetized, Relativistic Vlasov Maxwell System,
  45 p.,
Kinetic & Related Models, 14 (2021), No 6, 1035-1079.
 PS C. Cheverry and N. Raymond,   A Guide to Spectral Theory, Applications and Exercises,  
Birkhäuser, Advanced Texts: Basler LehrBäucher, (2021), 258 p..

  Past publications. Some selection is available on MathScinet , ZentralBlatt MATH and Google Scholar.



  Commission Recherche.