Research
My research interests belong broadly to the area which connects
microscopic (atomistic) description of matter with continuum
(hydrodynamic) descriptions. I particularly work on kinetic
equations (Boltzmann, Vlasov...) studying the questions of
wellposedness, formation of singularities and mathematical
validation of various models. I am also interested in applications
of these models in biology, physics and other natural sciences.
Papers and preprints:
 L. Chayes, V. Panferov;
The McKeanVlasov equation in finite volume,
J. Stat. Phys. 138 (2010), no. 13, 351380.
paper
available through SpringerLink.

J. A. Carrillo, M. R. D'Orsogna, V. Panferov;
Double milling in selfpropelled swarms from kinetic theory,
Kinet. Relat. Models 2 (2009), no. 2, 363378.
paper
available from KRM.

A. Biryuk, W. Craig, V. Panferov; Strong solutions of the
Boltzmann equation
in one spatial dimension, C. R. Math. Acad. Sci. Paris 342
(2006), no. 11, 843848., preprint
PDF

I. M. Gamba, V. Panferov and C. Villani; Upper Maxwellian bounds
for the spatially homogeneous Boltzmann equation, Arch. Ration.
Mech. Anal. 194 (2009), no. 1, 253282; preprint PDF.

M. Herty, R. Illner, A. Klar, V. Panferov; On the qualitative
properties of the systems of FokkerPlanck equations for multilane
traffic flows, Transport Theory Statist. Phys. 35 (2006),
no. 12, 3154. paper: PDF

A. V. Bobylev, I. M. Gamba and V. Panferov; Moment inequalities
and highenergy tails for the Boltzmann equations with inelastic
interactions, Journ. Stat. Phys. vol. 116, no. 56 pp. 16511682 (2004),
preprint
available from ArXiv.org;
paper
available from the journal.

I. M. Gamba, V. Panferov and C. Villani; On the Boltzmann
equation for diffusively excited granular media;
Comm. Math. Phys. 246, no. 3, pp. 503541 (2004);
preprint
available from ArXiv.org; paper
available from CMP.
 I. M. Gamba, V. Panferov and C. Villani;
On the inelastic Boltzmann equation with diffusive forcing.
Nonlinear problems in mathematical physics and related topics,
II, 179192, Int. Math. Ser. (N. Y.), 2,
Kluwer/Plenum, New York, 2002.

V. Panferov, On the interior boundaryvalue problem
for the stationary Povzner equation with hard and soft
interactions, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 3 (2004), no. 4, 771825.
preprint version:
Postscript, PDF.

V. Panferov and A. Heintz; A new discretevelocity model for
the Boltzmann equation, Math. Methods Appl. Sci. 25 (2002),
no. 7, 571593. preprint:
Postscript, PDF;
full text of the
paper
available from Wiley Interscience (access required)