Hairer, Martin; Steele, Rhys The BPHZ theorem for regularity structures via the spectral gap inequality. (English) Zbl 07804736 Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 9, 81 p. (2024). MSC: 60Hxx 35Rxx 60Lxx PDFBibTeX XMLCite \textit{M. Hairer} and \textit{R. Steele}, Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 9, 81 p. (2024; Zbl 07804736) Full Text: DOI arXiv OA License
Cao, Yu; Lu, Jianfeng; Wang, Lihan On explicit \(L^2\)-convergence rate estimate for underdamped Langevin dynamics. (English) Zbl 07754930 Arch. Ration. Mech. Anal. 247, No. 5, Paper No. 90, 34 p. (2023). MSC: 82Cxx 60Jxx 60Hxx PDFBibTeX XMLCite \textit{Y. Cao} et al., Arch. Ration. Mech. Anal. 247, No. 5, Paper No. 90, 34 p. (2023; Zbl 07754930) Full Text: DOI arXiv
Wang, Zhenfu; Zhao, Xianliang; Zhu, Rongchan Gaussian fluctuations for interacting particle systems with singular kernels. (English) Zbl 1524.60271 Arch. Ration. Mech. Anal. 247, No. 5, Paper No. 101, 62 p. (2023). MSC: 60K35 60H15 60J60 35Q83 82C22 PDFBibTeX XMLCite \textit{Z. Wang} et al., Arch. Ration. Mech. Anal. 247, No. 5, Paper No. 101, 62 p. (2023; Zbl 1524.60271) Full Text: DOI arXiv OA License
Blumenthal, Alex; Punshon-Smith, Sam On the norm equivalence of Lyapunov exponents for regularizing linear evolution equations. (English) Zbl 1528.37062 Arch. Ration. Mech. Anal. 247, No. 5, Paper No. 97, 48 p. (2023). MSC: 37L05 37L45 37L15 47J35 35Q30 PDFBibTeX XMLCite \textit{A. Blumenthal} and \textit{S. Punshon-Smith}, Arch. Ration. Mech. Anal. 247, No. 5, Paper No. 97, 48 p. (2023; Zbl 1528.37062) Full Text: DOI arXiv
Krieger, Joachim; Lührmann, Jonas; Staffilani, Gigliola Probabilistic small data global well-posedness of the energy-critical Maxwell-Klein-Gordon equation. (English) Zbl 1525.35072 Arch. Ration. Mech. Anal. 247, No. 4, Paper No. 68, 109 p. (2023). MSC: 35G55 35J61 35L71 35Q61 PDFBibTeX XMLCite \textit{J. Krieger} et al., Arch. Ration. Mech. Anal. 247, No. 4, Paper No. 68, 109 p. (2023; Zbl 1525.35072) Full Text: DOI arXiv
Chandra, Ajay; Moinat, Augustin; Weber, Hendrik A priori bounds for the \(\Phi^4\) equation in the full sub-critical regime. (English) Zbl 1516.60037 Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 48, 76 p. (2023). MSC: 60H15 35R60 60L30 81T08 PDFBibTeX XMLCite \textit{A. Chandra} et al., Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 48, 76 p. (2023; Zbl 1516.60037) Full Text: DOI arXiv
Hofmanová, Martina; Zhu, Rongchan; Zhu, Xiangchan Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise. (English) Zbl 1514.35316 Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 46, 70 p. (2023). MSC: 35Q30 76D05 60H15 60H40 35B65 35D35 35A01 35A02 35R60 PDFBibTeX XMLCite \textit{M. Hofmanová} et al., Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 46, 70 p. (2023; Zbl 1514.35316) Full Text: DOI arXiv
Boulvard, Pierre-Marie; Gao, Peng; Nersesyan, Vahagn Controllability and ergodicity of three dimensional primitive equations driven by a finite-dimensional force. (English) Zbl 1504.35565 Arch. Ration. Mech. Anal. 247, No. 1, Paper No. 2, 49 p. (2023). MSC: 35Q86 35Q35 86A05 86A10 76D05 76U60 76M35 93B05 93C20 60H15 37A25 37L55 PDFBibTeX XMLCite \textit{P.-M. Boulvard} et al., Arch. Ration. Mech. Anal. 247, No. 1, Paper No. 2, 49 p. (2023; Zbl 1504.35565) Full Text: DOI arXiv
Baudoin, Fabrice; Gordina, Maria; Herzog, David P. Gamma calculus beyond Villani and explicit convergence estimates for Langevin dynamics with singular potentials. (English) Zbl 1478.60215 Arch. Ration. Mech. Anal. 241, No. 2, 765-804 (2021). MSC: 60J60 35Q70 60H10 37A25 PDFBibTeX XMLCite \textit{F. Baudoin} et al., Arch. Ration. Mech. Anal. 241, No. 2, 765--804 (2021; Zbl 1478.60215) Full Text: DOI arXiv
Földes, Juraj; Sy, Mouhamadou Invariant measures and global well posedness for the SQG equation. (English) Zbl 1472.35392 Arch. Ration. Mech. Anal. 241, No. 1, 187-230 (2021). MSC: 35Q86 35B30 35A01 35A02 60H15 86A05 76U60 35R06 35R60 PDFBibTeX XMLCite \textit{J. Földes} and \textit{M. Sy}, Arch. Ration. Mech. Anal. 241, No. 1, 187--230 (2021; Zbl 1472.35392) Full Text: DOI arXiv
Hairer, Martin; Pardoux, Étienne Fluctuations around a homogenised semilinear random PDE. (English) Zbl 1456.35243 Arch. Ration. Mech. Anal. 239, No. 1, 151-217 (2021). MSC: 35R60 35B27 35K20 35K58 60H05 PDFBibTeX XMLCite \textit{M. Hairer} and \textit{É. Pardoux}, Arch. Ration. Mech. Anal. 239, No. 1, 151--217 (2021; Zbl 1456.35243) Full Text: DOI arXiv
Bedrossian, Jacob; Coti Zelati, Michele; Punshon-Smith, Sam; Weber, Franziska Sufficient conditions for dual cascade flux laws in the stochastic 2d Navier-Stokes equations. (English) Zbl 07201254 Arch. Ration. Mech. Anal. 237, No. 1, 103-145 (2020). MSC: 65Dxx 41Axx 00Axx 65Axx 00A20 00A22 65A05 65Dxx 41A55 PDFBibTeX XMLCite \textit{J. Bedrossian} et al., Arch. Ration. Mech. Anal. 237, No. 1, 103--145 (2020; Zbl 07201254) Full Text: DOI arXiv
Fehrman, Benjamin; Gess, Benjamin Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise. (English) Zbl 1448.35586 Arch. Ration. Mech. Anal. 233, No. 1, 249-322 (2019). Reviewer: Xiaohu Wang (Chengdu) MSC: 35R60 35B30 35K59 35K20 76S05 60H10 PDFBibTeX XMLCite \textit{B. Fehrman} and \textit{B. Gess}, Arch. Ration. Mech. Anal. 233, No. 1, 249--322 (2019; Zbl 1448.35586) Full Text: DOI arXiv
Otto, Felix; Weber, Hendrik Quasilinear SPDEs via rough paths. (English) Zbl 1426.60090 Arch. Ration. Mech. Anal. 232, No. 2, 873-950 (2019). MSC: 60H15 60H99 60H30 35G20 PDFBibTeX XMLCite \textit{F. Otto} and \textit{H. Weber}, Arch. Ration. Mech. Anal. 232, No. 2, 873--950 (2019; Zbl 1426.60090) Full Text: DOI arXiv
Mathieu, P.; Piatnitski, A. Steady states, fluctuation-dissipation theorems and homogenization for reversible diffusions in a random environment. (English) Zbl 1408.35235 Arch. Ration. Mech. Anal. 230, No. 1, 277-320 (2018). Reviewer: Feng-Yu Wang (Swansea) MSC: 35R60 35B65 60J60 60K37 PDFBibTeX XMLCite \textit{P. Mathieu} and \textit{A. Piatnitski}, Arch. Ration. Mech. Anal. 230, No. 1, 277--320 (2018; Zbl 1408.35235) Full Text: DOI arXiv
Chen, Thomas; Komorowski, Tomasz; Ryzhik, Lenya The weak coupling limit for the random Schrödinger equation: the average wave function. (English) Zbl 1384.35117 Arch. Ration. Mech. Anal. 227, No. 1, 387-422 (2018). MSC: 35Q55 35R60 35R09 PDFBibTeX XMLCite \textit{T. Chen} et al., Arch. Ration. Mech. Anal. 227, No. 1, 387--422 (2018; Zbl 1384.35117) Full Text: DOI arXiv
Bertini, Lorenzo; Buttà, Paolo; Pisante, Adriano Stochastic Allen-Cahn approximation of the mean curvature flow: large deviations upper bound. (English) Zbl 1366.35193 Arch. Ration. Mech. Anal. 224, No. 2, 659-707 (2017). MSC: 35Q82 82C31 60F10 82C26 82C24 PDFBibTeX XMLCite \textit{L. Bertini} et al., Arch. Ration. Mech. Anal. 224, No. 2, 659--707 (2017; Zbl 1366.35193) Full Text: DOI arXiv
Mischler, S.; Mouhot, C. Exponential stability of slowly decaying solutions to the kinetic-Fokker-Planck equation. (English) Zbl 1338.35430 Arch. Ration. Mech. Anal. 221, No. 2, 677-723 (2016). MSC: 35Q84 82C31 35B65 35P15 PDFBibTeX XMLCite \textit{S. Mischler} and \textit{C. Mouhot}, Arch. Ration. Mech. Anal. 221, No. 2, 677--723 (2016; Zbl 1338.35430) Full Text: DOI arXiv
Glatt-Holtz, Nathan; Šverák, Vladimír; Vicol, Vlad On inviscid limits for the stochastic Navier-Stokes equations and related models. (English) Zbl 1316.35227 Arch. Ration. Mech. Anal. 217, No. 2, 619-649 (2015). MSC: 35Q30 60H15 35R60 35Q31 76F55 PDFBibTeX XMLCite \textit{N. Glatt-Holtz} et al., Arch. Ration. Mech. Anal. 217, No. 2, 619--649 (2015; Zbl 1316.35227) Full Text: DOI arXiv
Gonçalves, Patrícia; Jara, Milton Nonlinear fluctuations of weakly asymmetric interacting particle systems. (English) Zbl 1293.35336 Arch. Ration. Mech. Anal. 212, No. 2, 597-644 (2014). MSC: 35Q82 35Q53 82C22 35B65 PDFBibTeX XMLCite \textit{P. Gonçalves} and \textit{M. Jara}, Arch. Ration. Mech. Anal. 212, No. 2, 597--644 (2014; Zbl 1293.35336) Full Text: DOI arXiv
Quastel, Jeremy; Valkó, Benedek Diffusivity of lattice gases. (English) Zbl 1285.82022 Arch. Ration. Mech. Anal. 210, No. 1, 269-320 (2013). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82B20 60J60 PDFBibTeX XMLCite \textit{J. Quastel} and \textit{B. Valkó}, Arch. Ration. Mech. Anal. 210, No. 1, 269--320 (2013; Zbl 1285.82022) Full Text: DOI arXiv
Hérau, Frédéric; Nier, Francis Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential. (English) Zbl 1139.82323 Arch. Ration. Mech. Anal. 171, No. 2, 151-218 (2004). MSC: 82C31 35F10 35H10 PDFBibTeX XMLCite \textit{F. Hérau} and \textit{F. Nier}, Arch. Ration. Mech. Anal. 171, No. 2, 151--218 (2004; Zbl 1139.82323) Full Text: DOI