Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation

Imbert, Cyril; Jin, Tianling; Shvydkoy, Roman

Annales de la Faculté des sciences de Toulouse : Mathématiques, Volume 27 (2018) p. 667-677

Global regularity for 2D Muskat equations with finite slope

Constantin, Peter; Gancedo, Francisco; Shvydkoy, Roman; Vicol, Vlad

Annales de l'I.H.P. Analyse non linéaire, Volume 34 (2017) p. 1041-1074

Global Well-Posedness of a Non-local Burgers Equation: the periodic case

Imbert, Cyril; Shvydkoy, Roman; Vigneron, François

Annales de la Faculté des sciences de Toulouse : Mathématiques, Volume 25 (2016) p. 723-758

Continuous spectrum of the 3D Euler equation is a solid annulus

Shvydkoy, Roman

Comptes Rendus. Mathématique, Volume 348 (2010) p. 897-900

The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity

Shvydkoy, Roman; Friedlander, Susan

Annales de l'I.H.P. Analyse non linéaire, Volume 25 (2008) p. 713-724