Spectral gaps in Wasserstein distances and the 2D stochastic Navier–Stokes equations
暂无分享,去创建一个
[1] Michael Beals,et al. JOURNÉES ÉQUATIONS AUX DÉRIVÉES PARTIELLES , 1991 .
[2] Armen Shirikyan,et al. A Coupling Approach¶to Randomly Forced Nonlinear PDE's. I , 2001 .
[3] Martin Hairer,et al. Exponential mixing properties of stochastic PDEs through asymptotic coupling , 2001, math/0109115.
[4] Jonathan C. Mattingly. Ergodicity of 2D Navier–Stokes Equations with¶Random Forcing and Large Viscosity , 1999 .
[5] Hubert Hennion,et al. Sur un théorème spectral et son application aux noyaux lipchitziens , 1993 .
[6] G. Fayolle,et al. Topics in the Constructive Theory of Countable Markov Chains: Ideology of induced chains , 1995 .
[7] E. Davies,et al. One-parameter semigroups , 1980 .
[8] James C. Robinson. Stability of random attractors under perturbation and approximation , 2002 .
[9] G. Burton. TOPICS IN OPTIMAL TRANSPORTATION (Graduate Studies in Mathematics 58) By CÉDRIC VILLANI: 370 pp., US$59.00, ISBN 0-8218-3312-X (American Mathematical Society, Providence, RI, 2003) , 2004 .
[10] Uniqueness of the Invariant Measure¶for a Stochastic PDE Driven by Degenerate Noise , 2000, nlin/0009028.
[11] J. Bricmont,et al. Exponential Mixing of the 2D Stochastic Navier-Stokes Dynamics , 2000 .
[12] Bohdan Maslowski,et al. Exponential ergodicity for stochastic Burgers and 2D Navier–Stokes equations , 2005 .
[13] Jonathan C. Mattingly,et al. Malliavin calculus for the stochastic 2D Navier Stokes equation , 2004 .
[14] T. Kurtz,et al. Stochastic equations in infinite dimensions , 2006 .
[15] C. Villani. Topics in Optimal Transportation , 2003 .
[16] Weinan E,et al. Gibbsian Dynamics and Ergodicity¶for the Stochastically Forced Navier–Stokes Equation , 2001 .
[17] Sean P. Meyn,et al. The ODE Method and Spectral Theory of Markov Operators , 2002, math/0209277.
[18] Franco Flandoli,et al. Ergodicity of the 2-D Navier-Stokes equation under random perturbations , 1995 .
[19] A. Majda,et al. The emergence of large‐scale coherent structure under small‐scale random bombardments , 2006 .
[20] C. Ionescu,et al. THEORIE ERGODIQUE POUR DES CLASSES D'OPERATIONS NON COMPLETEMENT CONTINUES , 1950 .
[21] D. W. Robinson. ONE‐PARAMETER SEMIGROUPS (London Mathematical Society Monographs, 15) , 1982 .
[22] J.,et al. Ergodicity of the 2 D Navier-Stokes Equations with Random Forcing , 2000 .
[23] Ádám Gyenge. Malliavin calculus and its applications , 2010 .
[24] R. Temam. Navier-Stokes Equations , 1977 .
[25] Richard L. Tweedie,et al. Markov Chains and Stochastic Stability , 1993, Communications and Control Engineering Series.
[26] G. Fayolle,et al. Topics in the Constructive Theory of Countable Markov Chains , 1995 .
[27] Hantaek Bae. Navier-Stokes equations , 1992 .
[28] Andrey Sarychev,et al. Navier–Stokes Equations: Controllability by Means of Low Modes Forcing , 2005 .
[29] C. Foiaș,et al. Sur le comportement global des solutions non-stationnaires des équations de Navier-Stokes en dimension $2$ , 1967 .
[30] A. Shirikyan,et al. Ergodicity for the Randomly Forced 2D Navier–Stokes Equations , 2001 .
[31] Malliavin calculus for infinite-dimensional systems with additive noise , 2006, math/0610754.
[32] Jonathan C. Mattingly,et al. Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing , 2004, math/0406087.
[33] Jim Freeman. Probability Metrics and the Stability of Stochastic Models , 1991 .
[34] Jonathan C. Mattingly. On recent progress for the stochastic Navier Stokes equations , 2004, math/0409194.
[35] J. Norris. Simplified Malliavin calculus , 1986 .
[36] L. Young,et al. Ergodic Theory of Infinite Dimensional Systems¶with Applications to Dissipative Parabolic PDEs , 2002 .
[37] R. Melrose,et al. JOURNÉES ÉQUATIONS AUX DÉRIVÉES PARTIELLES , 1981 .
[38] Jonathan C. Mattingly. Exponential Convergence for the Stochastically Forced Navier-Stokes Equations and Other Partially Dissipative Dynamics , 2002 .
[39] J. Bricmont,et al. Ergodicity of the 2D Navier--Stokes Equations¶with Random Forcing , 2001 .
[40] W. Doeblin. Sur les propriétés asymptotiques de mouvements régis par certains types de chaînes simples , 1938 .
[41] M. Romito. Ergodicity of the Finite Dimensional Approximation of the 3D Navier–Stokes Equations Forced by a Degenerate Noise , 2002 .
[42] D. Williams,et al. PROCEEDINGS OF THE INTERNATIONAL SYMPOSIUM ON STOCHASTIC DIFFERENTIAL EQUATIONS , 1980 .
[43] J. Doob. Asymptotic properties of Markoff transition prababilities , 1948 .
[44] L. E. Fraenkel,et al. NAVIER-STOKES EQUATIONS (Chicago Lectures in Mathematics) , 1990 .
[45] M. Röckner,et al. A new approach to Kolmogorov equations in infinite dimensions and applications to stochastic generalized Burgers equations , 2004 .
[46] W. J. Thron,et al. Encyclopedia of Mathematics and its Applications. , 1982 .
[47] C. Villani. Optimal Transport: Old and New , 2008 .
[48] R. Nussbaum. The radius of the essential spectrum , 1970 .
[49] T. E. Harris. The Existence of Stationary Measures for Certain Markov Processes , 1956 .
[50] H. Reinhard,et al. Equations aux dérivées partielles , 1987 .
[51] A. Shirikyan,et al. Coupling approach to white-forced nonlinear PDEs , 2002 .
[52] O. H. Lowry. Academic press. , 1972, Analytical chemistry.
[53] P. Malliavin. Stochastic calculus of variation and hypoelliptic operators , 1978 .
[54] L. Hörmander. Hypoelliptic second order differential equations , 1967 .
[55] Carlangelo Liverani,et al. Invariant measures and their properties. A functional analytic point of view , 2004 .
[56] Jonathan C. Mattingly,et al. Ergodicity for the Navier‐Stokes equation with degenerate random forcing: Finite‐dimensional approximation , 2001 .
[57] J. Yorke,et al. On the existence of invariant measures for piecewise monotonic transformations , 1973 .
[58] C. Odasso. Ergodicity for the stochastic Complex Ginzburg-Landau equations , 2004, math/0405519.