, Topics on Analysis in Metric Spaces, 2004.
Fluid Dynamic Limits of Kinetic Equations II: Convergence Proofs for the Boltzmann Equation, Comm. on Pure Appl. Math, vol.46, pp.667-753, 1993. ,
Analyse fonctionnelle. Théorie et applications, 1983. ,
Nirenberg: Partial Regularity of Suitable Weak Solutions of the Navier-Stokes Equations, Comm. on Pure and Applied Math, vol.35, pp.771-831, 1982. ,
He: Estimates for the large time behavior of the Landau equation in the Coulomb case, Arch. Ration. Mech. Anal, vol.224, pp.381-420, 2017. ,
Landau equation for very soft and Coulomb potentials near Maxwellians, Ann. PDE, vol.3, issue.1, p.pp, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01237530
An Introduction to Semilinear Evolution Equations, 1998. ,
Smoothing Effects for Classical Solutions of the Full Landau Equation, Arch. Rational Mech. Anal, vol.193, pp.21-55, 2009. ,
Sulla differenziabilità e l?analiticità delle estremali degli integrali multipli regolari, Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Nat, vol.3, pp.25-43, 1957. ,
Entropy dissipation estimates for the Landau equation in the Coulomb case and applications, J. Funct. Anal, vol.269, pp.1359-1403, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01058056
Uhl: Vector measures, Mathematical Surveys, vol.15, 1977. ,
Strain: A non-local inequality and global existence, Adv. Math, vol.230, pp.642-648, 2012. ,
Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb potential, Commun. Math. Phys, vol.299, pp.765-782, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00693006
Vasseur: Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation, Ann. Sc. Norm. Super. Pisa Cl. Sci, issue.5, pp.253-295, 2019. ,
Regularity Analysis for Systems of Reaction-Diffusion Equations, Ann. Scient. Ec. Norm. Sup, vol.43, pp.117-142, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00384366
Estimates for radial solutions of the homogeneous Landau equation with Coulomb potential, Anal. PDE, vol.9, pp.1772-1809, 2016. ,
, On Ap weights and the Landau equation, vol.58, p.pp, 2019.
The Landau equation in a periodic box, Commun. Math. Phys, vol.231, pp.391-434, 2002. ,
Well-posedness and asymptotics of grazing collisions limit of Boltzmann equation with Coulomb interaction, SIAM J. Math. Anal, vol.46, pp.4104-4165, 2014. ,
C ? smoothing for weak solutions of the inhomogeneous Landau equation ,
Local existence, lower mass bounds, and a new continuation criterion for the Landau equation, J. Diff. Eq, vol.266, pp.1536-1577, 2019. ,
, The weak Harnack inequality for the Boltzmann equation without cut-off
URL : https://hal.archives-ouvertes.fr/hal-01357047
Strain: Global solutions to a non-local diffusion equation with quadratic nonlinearity, Comm. P.D.E, vol.37, pp.647-689, 2012. ,
Die kinetische Gleichung für den Fall Coulombscher Wechselwirkung, Phys. Z. Sowjet, vol.10, pp.154-164, 1936. ,
Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math, pp.193-248, 1934. ,
, A new proof of the Caffarelli-Kohn-Nirenberg theorem, vol.51, pp.241-257, 1998.
, Physical Kinetics, 1981.
, On Boltzmann and Landau Equations, vol.346, pp.191-204, 1994.
The Navier-Stokes equations on a bounded domain, Commun. Math. Phys, vol.73, pp.1-42, 1980. ,
Upper bounds for parabolic equations and the Landau equation, J. Differ. Equ, vol.262, pp.3034-3055, 2017. ,
, Singular Integrals and Differentiability Properties of Functions, 1970.
On partial regularity results for the Navier-Stokes equations, Comm. Pure Appl. Math, vol.41, pp.437-458, 1988. ,
An Introduction to Navier-Stokes Equation and Oceanography, 2006. ,
A new proof of partial regularity of solutions to Navier-Stokes equations, NoDEA Nonlin. Diff. Eq. Appl, vol.14, pp.753-785, 2007. ,
On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations, Arch. Rational Mech. Anal, vol.143, pp.273-307, 1998. ,
Handbook of mathematical fluid dynamics, A review of mathematical topics in collisional kinetic theory, pp.71-305, 2002. ,
Local Existence and Nonexistence for Semilinear Parabolic Equations in L p, Indiana Univ. Math. J, vol.29, pp.79-102, 1980. ,
USA E-mail address: gualdani@gwu.edu (C.I.) CNRS & DMA,École normale supérieure, 75230 Paris Cedex 05, France E-mail address: cyril.imbert@ens.fr, A.V.) Department of Mathematics & ICES, vol.801, pp.78712-0257, 20052. ,