The Burgers equation with stochastic transport: shock formation, local and global existence of smooth solutions, Nonlinear Differ. Equ. Appl, pp.26-57, 2019. ,
, Convergence of probability measures. Wiley Series in Probability and Statistics: Probability and Statistics, 1999.
, Turbulence de Burgers en 1D : un cas modèle pour la théorie de Kolmogorov. Séminaire Laurent Schwartz -EDP et applications, pp.1-13, 2011.
Generalised Burgers equation with random force and small viscosity. Theses, Ecole Polytechnique X, 2012. ,
URL : https://hal.archives-ouvertes.fr/pastel-00739791
Sharp Estimates for Turbulence in White-Forced Generalised Burgers Equation. Geometric and Functional Analysis, vol.23, pp.1730-1771, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01092948
Finite-volume approximation of the invariant measure of a viscous stochastic scalar conservation law, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02291253
Probability. Addison-Wesley series in statistics, 1968. ,
Invariant measures for nonlinear conservation laws driven by stochastic forcing, Chinese Annals of Mathematics, Series B, vol.40, issue.6, pp.967-1004, 2019. ,
Stochastic Burgers' equation, Nonlinear Differential Equations and Applications NoDEA, vol.1, issue.4, pp.389-402, 1994. ,
URL : https://hal.archives-ouvertes.fr/hal-02347398
, Stochastic Equations in Infinite Dimensions. Encyclopedia of Mathematics and its Applications, 1992.
Ergodicity for Infinite Dimensional Systems. Cambridge Monographs on Partic, 1996. ,
Ergodicity Results for the Stochastic Navier-Stokes Equations: An Introduction, pp.23-108, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00821992
Scalar conservation laws with stochastic forcing. Revised version, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00451641
Invariant measure of scalar first-order conservation laws with stochastic forcing. Probability Theory and Related Fields, vol.163, pp.575-611, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00872657
Large-time behavior for viscous and nonviscous Hamilton-Jacobi equations forced by additive noise, SIAM Journal on Mathematical Analysis, vol.37, issue.3, pp.777-796, 2005. ,
Stochastic hydrodynamics, Current Devlopments in Mathematics, pp.109-147, 2000. ,
Stochastic PDEs in turbulence theory, First International Congress of Chinese Mathematicians, pp.27-46, 2001. ,
Invariant measures for Burgers equation with stochastic forcing, Annals of Mathematics, vol.151, issue.3, pp.877-960, 2000. ,
Stochastic scalar conservation laws, Journal of Functional Analysis, vol.255, issue.2, pp.313-373, 2008. ,
Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE, Ann. Probab, vol.46, issue.5, pp.2495-2544, 2018. ,
On L p -solutions of semilinear stochastic partial differential equations, Stochastic Processes and their Applications, vol.90, pp.83-108, 2000. ,
Strong solutions of semilinear stochastic partial differential equations, Nonlinear Differential Equations and Applications NoDEA, vol.20, issue.3, pp.757-778, 2013. ,
Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise, 2019. ,
On degeneration of isotropic turbulence in an incompressible viscous liquid, Dokl. Akad. Nauk SSSR, vol.31, pp.538-540, 1941. ,
The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers, Proceedings: Mathematical and Physical Sciences, vol.434, pp.9-13, 1890. ,
Theoretical and numerical analysis of invariant measures of viscous stochastic scalar conservation laws, 2019. ,
Support Theorem for Mild Solutions of SDE's in Hilbert spaces, J. Math. Sci. Univ. Tokyo, pp.245-311, 2004. ,
Stochastic Burgers equation with correlated noise, Stochastics and Stochastic Reports, vol.52, issue.1-2, pp.29-41, 1995. ,