, Analytic structure of two 1D-transport equations with nonlocal fluxes, Physica D: Nonlinear Phenomena, vol.91, issue.4, pp.349-375, 1996.
DOI : 10.1016/0167-2789(95)00271-5
, Non-local Dirichlet forms and symmetric jump processes, Transactions of the American Mathematical Society, vol.361, issue.04, pp.1963-1999, 2009.
DOI : 10.1090/S0002-9947-08-04544-3
, Solutions faibles d'??quations d'??volution dans les espaces de Hilbert, Annales de l???institut Fourier, vol.22, issue.2, pp.311-329, 1972.
DOI : 10.5802/aif.421
, Regularity theory for parabolic nonlinear integral operators, Journal of the American Mathematical Society, vol.24, issue.3, pp.849-869, 2011.
DOI : 10.1090/S0894-0347-2011-00698-X
, Finite time singularities in a 1D model of the quasi-geostrophic equation, Advances in Mathematics, vol.194, issue.1, pp.203-223, 2005.
DOI : 10.1016/j.aim.2004.06.004
, Symmetric jump processes and their heat kernel estimates, Science in China Series A: Mathematics, vol.124, issue.1, pp.1423-1445, 2009.
DOI : 10.1007/s11425-009-0100-0
, Nonlinear maximum principles for dissipative linear nonlocal operators and applications, Geometric and Functional Analysis, vol.27, issue.3, pp.1289-1321, 2012.
DOI : 10.1007/s00039-012-0172-9
, Formation of singularities for a transport equation with nonlocal velocity, Annals of Mathematics, vol.162, issue.3, pp.1377-1389, 2005.
DOI : 10.4007/annals.2005.162.1377
, Hitchhiker??s guide to the fractional Sobolev spaces, Bulletin des Sciences Math??matiques, vol.136, issue.5, pp.521-573, 2012.
DOI : 10.1016/j.bulsci.2011.12.004
, Local Regularity for Parabolic Nonlocal Operators, Communications in Partial Differential Equations, vol.289, issue.9, pp.1539-1573, 2013.
DOI : 10.1007/978-1-4612-0985-0
, /??)-Periodic Hamiltonians Part II: Application to Dislocations Dynamics, Communications in Partial Differential Equations, vol.20, issue.3, pp.1-3479, 2008.
DOI : 10.1209/epl/i2003-10175-2
, Schauder estimates for linear integro-differential equations with general kernels
, Schauder estimates for nonlocal fully nonlinear equations, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.33, issue.5
DOI : 10.1016/j.anihpc.2015.05.004
, A priori estimates for integro-differential operators with measurable kernels, Calculus of Variations and Partial Differential Equations, vol.20, issue.3, pp.1-21, 2009.
DOI : 10.1007/s00526-008-0173-6
, Uniform estimates for fundamental solutions associated with non-local Dirichlet forms, Osaka J. Math, vol.32, issue.4, pp.833-860, 1995.
, Two-dimensional turbulence, Rep. Progr. Phys, vol.43, issue.5, pp.547-619, 1980.
, Approximation des equations de navier-stokes préservant le changement d'´ echelle, 2010.
, A scaling and energy equality preserving approximation for the 3D Navier-Stokes equations in the finite energy case, Nonlinear Anal, vol.74, issue.17, pp.5902-5919, 2011.
, Un modèle scalaire analogue auxéquationsauxéquations de Navier-Stokes, C. R. Math. Acad. Sci. Paris, vol.349, issue.78, pp.411-416, 2011.
, Vorticity and incompressible flow, volume 27 of Cambridge Texts in Applied Mathematics, 2002.
, On the Cauchy Problem for Integro-differential Operators in H??lder Classes and the Uniqueness of the Martingale Problem, Potential Analysis, vol.32, issue.4, pp.539-563, 2014.
DOI : 10.1007/s11118-013-9359-4
, Magnetostrophic Turbulence and the Geodynamo, IUTAM Symposium on Computational Physics and New Perspectives in Turbulence, pp.339-346, 2008.
DOI : 10.1007/978-1-4020-6472-2_51
, A note on a theorem of Nirenberg, 1977. (C. Imbert and F. Vigneron) UPEC Shvydkoy) Department of Mathematics, Stat. and Comp. Sci, pp.629-633, 1978.
DOI : 10.4310/jdg/1214434231