Zhao, Junyilang; Shen, Jun; Lu, Kening Persistence of \(C^1\) inertial manifolds under small random perturbations. (English) Zbl 07818497 J. Dyn. Differ. Equations 36, No. 1, Suppl., S333-S385 (2024). MSC: 60H15 60H40 35K58 37H10 37L55 35B42 PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Dyn. Differ. Equations 36, No. 1, S333--S385 (2024; Zbl 07818497) Full Text: DOI
Dufée, Benjamin; Hug, Bérenger; Mémin, Étienne; Tissot, Gilles Ensemble forecasts in reproducing kernel Hilbert space family. (English) Zbl 07814545 Physica D 459, Article ID 134044, 24 p. (2024). MSC: 37Mxx 68Txx 37Axx PDFBibTeX XMLCite \textit{B. Dufée} et al., Physica D 459, Article ID 134044, 24 p. (2024; Zbl 07814545) Full Text: DOI arXiv
Iyer, Gautam; Lu, Ethan; Nolen, James Using Bernoulli maps to accelerate mixing of a random walk on the torus. (English) Zbl 07813254 Q. Appl. Math. 82, No. 2, 359-390 (2024). MSC: 37A25 60J10 76Rxx PDFBibTeX XMLCite \textit{G. Iyer} et al., Q. Appl. Math. 82, No. 2, 359--390 (2024; Zbl 07813254) Full Text: DOI arXiv
Drivas, Theodore D.; Ginsberg, Daniel; Grayer, Hezekiah II On the distribution of heat in fibered magnetic fields. (English) Zbl 07811478 Commun. Math. Phys. 405, No. 3, Paper No. 57, 21 p. (2024). MSC: 37Jxx 76Wxx 35Qxx PDFBibTeX XMLCite \textit{T. D. Drivas} et al., Commun. Math. Phys. 405, No. 3, Paper No. 57, 21 p. (2024; Zbl 07811478) Full Text: DOI arXiv
Hu, Wenjie; Caraballo, Tomás Hausdorff and fractal dimensions of attractors for functional differential equations in Banach spaces. (English) Zbl 07797692 J. Differ. Equations 385, 395-423 (2024). MSC: 35B41 35K90 35R10 37L30 PDFBibTeX XMLCite \textit{W. Hu} and \textit{T. Caraballo}, J. Differ. Equations 385, 395--423 (2024; Zbl 07797692) Full Text: DOI arXiv
Hu, Wenjie; Caraballo, Tomás Pullback exponential attractors with explicit fractal dimensions for non-autonomous partial functional differential equations. (English) Zbl 07797095 J. Nonlinear Sci. 34, No. 1, Paper No. 27, 36 p. (2024). MSC: 37L25 37L30 37L55 37B55 60H15 35R60 PDFBibTeX XMLCite \textit{W. Hu} and \textit{T. Caraballo}, J. Nonlinear Sci. 34, No. 1, Paper No. 27, 36 p. (2024; Zbl 07797095) Full Text: DOI
Baldi, Pietro Nearly toroidal, periodic and quasi-periodic motions of fluid particles driven by the Gavrilov solutions of the Euler equations. (English) Zbl 1527.35226 J. Math. Fluid Mech. 26, No. 1, Paper No. 1, 35 p. (2024). MSC: 35Q31 76B03 37N10 35B10 35B65 PDFBibTeX XMLCite \textit{P. Baldi}, J. Math. Fluid Mech. 26, No. 1, Paper No. 1, 35 p. (2024; Zbl 1527.35226) Full Text: DOI arXiv OA License
Zelik, Sergey V. Attractors. Then and now. (English) Zbl 07794505 Russ. Math. Surv. 78, No. 4, 635-777 (2023); and Usp. Mat. Nauk 78, No. 4, 53-198 (2023). MSC: 35-02 35B41 37L30 PDFBibTeX XMLCite \textit{S. V. Zelik}, Russ. Math. Surv. 78, No. 4, 635--777 (2023; Zbl 07794505) Full Text: DOI arXiv MNR
Cung The Anh; Le Tran Tinh Regularity and attractors for the three-dimensional generalized Boussinesq system. (English) Zbl 07793783 Math. Methods Appl. Sci. 46, No. 14, 15526-15556 (2023). MSC: 35B41 35Q35 37L30 76D03 76F20 76F65 35B65 PDFBibTeX XMLCite \textit{Cung The Anh} and \textit{Le Tran Tinh}, Math. Methods Appl. Sci. 46, No. 14, 15526--15556 (2023; Zbl 07793783) Full Text: DOI
Zhang, Yuanyuan; Chen, Guanggan Singular limits of invariant measures of the 3D MHD-Voigt equations. (English) Zbl 07792424 Commun. Pure Appl. Anal. 22, No. 12, 3363-3390 (2023). MSC: 37L40 37L55 37L30 35R06 76W05 60H15 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{G. Chen}, Commun. Pure Appl. Anal. 22, No. 12, 3363--3390 (2023; Zbl 07792424) Full Text: DOI
Wang, Rong-Nian; Zhao, Jia-Cheng The 3-D nonlinear hyperbolic-parabolic problems: invariant manifolds. (English) Zbl 07781535 J. Dyn. Differ. Equations 35, No. 4, 3113-3147 (2023). MSC: 35B42 35G61 37L25 PDFBibTeX XMLCite \textit{R.-N. Wang} and \textit{J.-C. Zhao}, J. Dyn. Differ. Equations 35, No. 4, 3113--3147 (2023; Zbl 07781535) Full Text: DOI
Caraballo, Tomás; Chen, Zhang; Yang, Dandan Random dynamics and limiting behaviors for 3D globally modified Navier-Stokes equations driven by colored noise. (English) Zbl 07778799 Stud. Appl. Math. 151, No. 1, 247-284 (2023). MSC: 37L55 37L40 37L30 35Q35 35Q30 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Stud. Appl. Math. 151, No. 1, 247--284 (2023; Zbl 07778799) Full Text: DOI
Galeati, Lucio; Gubinelli, Massimiliano Mixing for generic rough shear flows. (English) Zbl 07764535 SIAM J. Math. Anal. 55, No. 6, 7240-7272 (2023). Reviewer: Julie L. Levandosky (Framingham) MSC: 35Q35 35Q31 37C20 76F25 76R50 76F10 PDFBibTeX XMLCite \textit{L. Galeati} and \textit{M. Gubinelli}, SIAM J. Math. Anal. 55, No. 6, 7240--7272 (2023; Zbl 07764535) Full Text: DOI arXiv
Iyer, Gautam; Zhou, Hongyi Quantifying the dissipation enhancement of cellular flows. (English) Zbl 1528.35122 SIAM J. Math. Anal. 55, No. 6, 6496-6516 (2023). MSC: 35Q35 35B40 76M45 76R05 37A25 35R60 PDFBibTeX XMLCite \textit{G. Iyer} and \textit{H. Zhou}, SIAM J. Math. Anal. 55, No. 6, 6496--6516 (2023; Zbl 1528.35122) Full Text: DOI arXiv
Wang, Rong-Nian; Wu, Jianhong; Zhao, Jia-Cheng Theory of invariant manifolds for infinite-dimensional nonautonomous dynamical systems and applications. (English) Zbl 07757945 SIAM J. Math. Anal. 55, No. 5, 5386-5431 (2023). MSC: 37L25 37D10 35B40 37C60 PDFBibTeX XMLCite \textit{R.-N. Wang} et al., SIAM J. Math. Anal. 55, No. 5, 5386--5431 (2023; Zbl 07757945) Full Text: DOI
Celik, Emine; Olson, Eric Data assimilation using time-delay nudging in the presence of Gaussian noise. (English) Zbl 1525.35184 J. Nonlinear Sci. 33, No. 6, Paper No. 110, 31 p. (2023). MSC: 35Q30 76D05 76B75 37C50 93C20 93B52 60G15 35R07 35R60 PDFBibTeX XMLCite \textit{E. Celik} and \textit{E. Olson}, J. Nonlinear Sci. 33, No. 6, Paper No. 110, 31 p. (2023; Zbl 1525.35184) Full Text: DOI arXiv
Zhao, Jia-Cheng; Wang, Rong-Nian The invariant manifold approach applied to global long-time dynamics of FitzHugh-Nagumo systems. (English) Zbl 1523.35066 J. Differ. Equations 375, 120-155 (2023). MSC: 35B42 35K51 35K57 37L25 PDFBibTeX XMLCite \textit{J.-C. Zhao} and \textit{R.-N. Wang}, J. Differ. Equations 375, 120--155 (2023; Zbl 1523.35066) Full Text: DOI
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
Enciso, Alberto; Peralta-Salas, Daniel Beltrami fields and knotted vortex structures in incompressible fluid flows. (English) Zbl 1522.35383 Bull. Lond. Math. Soc. 55, No. 3, 1059-1103 (2023). MSC: 35Q31 35Q30 76B47 76D17 37N10 37J40 35P99 PDFBibTeX XMLCite \textit{A. Enciso} and \textit{D. Peralta-Salas}, Bull. Lond. Math. Soc. 55, No. 3, 1059--1103 (2023; Zbl 1522.35383) Full Text: DOI OA License
Kinra, Kush; Mohan, Manil T. Large time behavior of deterministic and stochastic 3D convective Brinkman-Forchheimer equations in periodic domains. (English) Zbl 1521.35049 J. Dyn. Differ. Equations 35, No. 3, 2355-2396 (2023). MSC: 35B41 35Q35 37L55 37N10 35R60 PDFBibTeX XMLCite \textit{K. Kinra} and \textit{M. T. Mohan}, J. Dyn. Differ. Equations 35, No. 3, 2355--2396 (2023; Zbl 1521.35049) Full Text: DOI arXiv
Tsuji, Yuta; Sakajo, Takashi Statistical laws of a one-dimensional model of turbulent flows subject to an external random force. (English) Zbl 1524.76326 Nonlinearity 36, No. 8, 4283-4302 (2023). MSC: 76M35 76F20 35R60 37L55 PDFBibTeX XMLCite \textit{Y. Tsuji} and \textit{T. Sakajo}, Nonlinearity 36, No. 8, 4283--4302 (2023; Zbl 1524.76326) Full Text: DOI
Wang, Wansheng; Huang, Yi Analytical and numerical dissipativity for the space-fractional Allen-Cahn equation. (English) Zbl 07701019 Math. Comput. Simul. 207, 80-96 (2023). MSC: 37-XX 35-XX PDFBibTeX XMLCite \textit{W. Wang} and \textit{Y. Huang}, Math. Comput. Simul. 207, 80--96 (2023; Zbl 07701019) Full Text: DOI
Haskovec, Jan; Markowich, Peter; Portaro, Simone Emergence of biological transportation networks as a self-regulated process. (English) Zbl 1518.35216 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1499-1515 (2023). MSC: 35D30 35K55 35Q84 37C10 92C42 PDFBibTeX XMLCite \textit{J. Haskovec} et al., Discrete Contin. Dyn. Syst. 43, No. 3--4, 1499--1515 (2023; Zbl 1518.35216) Full Text: DOI arXiv
Liu, Aili; Zou, Yanyan; Ren, Die; Shu, Ji Well-posedness of fractional stochastic complex Ginzburg-Landau equations driven by regular additive noise. (English) Zbl 1521.37092 Discrete Contin. Dyn. Syst., Ser. B 28, No. 11, 5418-5436 (2023). MSC: 37L55 60H15 35Q56 35R11 26A33 PDFBibTeX XMLCite \textit{A. Liu} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 11, 5418--5436 (2023; Zbl 1521.37092) Full Text: DOI
Evangelou, Nikolaos; Dietrich, Felix; Chiavazzo, Eliodoro; Lehmberg, Daniel; Meila, Marina; Kevrekidis, Ioannis G. Double diffusion maps and their latent harmonics for scientific computations in latent space. (English) Zbl 07690204 J. Comput. Phys. 485, Article ID 112072, 19 p. (2023). MSC: 68Txx 37Cxx 35Kxx PDFBibTeX XMLCite \textit{N. Evangelou} et al., J. Comput. Phys. 485, Article ID 112072, 19 p. (2023; Zbl 07690204) Full Text: DOI arXiv
My, Bui Kim; Tuan, Tran Quoc Continuous data assimilation for the three-dimensional Leray-\(\alpha\) model with stochastically noisy data. (English) Zbl 1515.35220 Bull. Korean Math. Soc. 60, No. 1, 93-111 (2023). MSC: 35Q35 76D55 60H15 60H30 93C20 37C50 35A01 35A02 35B65 35R60 65M08 76M12 PDFBibTeX XMLCite \textit{B. K. My} and \textit{T. Q. Tuan}, Bull. Korean Math. Soc. 60, No. 1, 93--111 (2023; Zbl 1515.35220) Full Text: DOI
Wu, Shang; Liu, Zhiming; Huang, Jianhua Invariant measure of stochastic Boussinesq equation with zero viscosity in Banach space. (English) Zbl 1518.37078 Dyn. Syst. 38, No. 1, 1-19 (2023). MSC: 37L40 37L55 60H15 PDFBibTeX XMLCite \textit{S. Wu} et al., Dyn. Syst. 38, No. 1, 1--19 (2023; Zbl 1518.37078) Full Text: DOI
Branicki, Michał; Uda, Kenneth Path-based divergence rates and Lagrangian uncertainty in stochastic flows. (English) Zbl 1515.37008 SIAM J. Appl. Dyn. Syst. 22, No. 1, 419-482 (2023). MSC: 37A50 37C60 37H05 60H10 37N10 62M20 94A17 62B10 60G25 PDFBibTeX XMLCite \textit{M. Branicki} and \textit{K. Uda}, SIAM J. Appl. Dyn. Syst. 22, No. 1, 419--482 (2023; Zbl 1515.37008) Full Text: DOI
Wang, Rong-Nian; Zhao, Jia-Cheng; Miranville, Alain Hyperdissipative Navier-Stokes equations driven by time-dependent forces: invariant manifolds. (English) Zbl 07674591 SIAM J. Appl. Dyn. Syst. 22, No. 1, 199-234 (2023). MSC: 37L25 76D05 35Q35 PDFBibTeX XMLCite \textit{R.-N. Wang} et al., SIAM J. Appl. Dyn. Syst. 22, No. 1, 199--234 (2023; Zbl 07674591) Full Text: DOI
Bello-Rivas, Juan M.; Georgiou, Anastasia; Guckenheimer, John; Kevrekidis, Ioannis G. Staying the course: iteratively locating equilibria of dynamical systems on Riemannian manifolds defined by point-clouds. (English) Zbl 1515.37090 J. Math. Chem. 61, No. 3, 600-629 (2023). MSC: 37M05 37M21 53Z50 68T05 PDFBibTeX XMLCite \textit{J. M. Bello-Rivas} et al., J. Math. Chem. 61, No. 3, 600--629 (2023; Zbl 1515.37090) Full Text: DOI arXiv
Pham Truong Xuan; Nguyen Thi Van Anh On attractor’s dimensions of the modified Leray-alpha equation. (English) Zbl 1509.35241 Asymptotic Anal. 131, No. 2, 185-207 (2023). MSC: 35Q35 76D05 76F99 35B41 35D30 35A01 35A02 35B40 37L30 28A80 35R01 PDFBibTeX XMLCite \textit{Pham Truong Xuan} and \textit{Nguyen Thi Van Anh}, Asymptotic Anal. 131, No. 2, 185--207 (2023; Zbl 1509.35241) Full Text: DOI arXiv
Chen, Zhang; Yang, Dandan Invariant measures and stochastic Liouville type theorem for non-autonomous stochastic reaction-diffusion equations. (English) Zbl 1515.37085 J. Differ. Equations 353, 225-267 (2023). Reviewer: Xuping Zhang (Lanzhou) MSC: 37L40 37L55 35B41 60H15 35R60 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{D. Yang}, J. Differ. Equations 353, 225--267 (2023; Zbl 1515.37085) Full Text: DOI
Kalantarov, Varga; Kostianko, Anna; Zelik, Sergey Determining functionals and finite-dimensional reduction for dissipative PDEs revisited. (English) Zbl 1504.35071 J. Differ. Equations 345, 78-103 (2023). MSC: 35B40 35B42 35K58 35K90 37D10 37L25 PDFBibTeX XMLCite \textit{V. Kalantarov} et al., J. Differ. Equations 345, 78--103 (2023; Zbl 1504.35071) Full Text: DOI arXiv
Escot, Lorenzo; Sandubete, Julio E. Estimating Lyapunov exponents on a noisy environment by global and local Jacobian indirect algorithms. (English) Zbl 1510.65315 Appl. Math. Comput. 436, Article ID 127498, 17 p. (2023). MSC: 65P20 37M25 PDFBibTeX XMLCite \textit{L. Escot} and \textit{J. E. Sandubete}, Appl. Math. Comput. 436, Article ID 127498, 17 p. (2023; Zbl 1510.65315) Full Text: DOI
Nahmod, Andrea R. (ed.); Staffilani, Gigliola (ed.); Weber, Hendrik (ed.); Wu, Sijue (ed.) Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22–28, 2022. (English) Zbl 1519.00026 Oberwolfach Rep. 19, No. 2, 1431-1499 (2022). MSC: 00B05 00B25 35-06 37-06 60-06 60Hxx 37M10 35R60 PDFBibTeX XMLCite \textit{A. R. Nahmod} (ed.) et al., Oberwolfach Rep. 19, No. 2, 1431--1499 (2022; Zbl 1519.00026) Full Text: DOI
Rothos, V. M.; Vasilopoulos, P. V.; Charalambopoulos, A. Invariant manifolds in the second-order Maxwell-Bloch equations. (English) Zbl 1523.37090 Pinto, Carla M. A. (ed.), Nonlinear dynamics and complexity. Mathematical modelling of real-world problems. Cham: Springer. Nonlinear Syst. Complex. 36, 71-99 (2022). MSC: 37N20 35Q61 35B06 78A60 35B40 35B25 PDFBibTeX XMLCite \textit{V. M. Rothos} et al., Nonlinear Syst. Complex. 36, 71--99 (2022; Zbl 1523.37090) Full Text: DOI
Kenig, Carlos E. On the work of Jean Bourgain in nonlinear dispersive equations. (English) Zbl 1511.35004 Avila, Artur (ed.) et al., Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 233-251 (2022). MSC: 35-03 01A70 35Q55 37L50 PDFBibTeX XMLCite \textit{C. E. Kenig}, in: Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 233--251 (2022; Zbl 1511.35004) Full Text: DOI
Ablowitz, Mark J.; Been, Joel B.; Carr, Lincoln D. Integrable fractional modified Korteweg-deVries, sine-Gordon, and sinh-Gordon equations. (English) Zbl 1510.35363 J. Phys. A, Math. Theor. 55, No. 38, Article ID 384010, 22 p. (2022). MSC: 35R11 35R30 37K15 PDFBibTeX XMLCite \textit{M. J. Ablowitz} et al., J. Phys. A, Math. Theor. 55, No. 38, Article ID 384010, 22 p. (2022; Zbl 1510.35363) Full Text: DOI arXiv
Sy, Mouhamadou; Yu, Xueying Global well-posedness and long-time behavior of the fractional NLS. (English) Zbl 1501.35447 Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 4, 1261-1317 (2022). MSC: 35R11 35Q55 60H15 37K06 37L50 PDFBibTeX XMLCite \textit{M. Sy} and \textit{X. Yu}, Stoch. Partial Differ. Equ., Anal. Comput. 10, No. 4, 1261--1317 (2022; Zbl 1501.35447) Full Text: DOI arXiv
Gibbon, John D.; Vincenzi, Dario How to extract a spectrum from hydrodynamic equations. (English) Zbl 1498.35388 J. Nonlinear Sci. 32, No. 6, Paper No. 87, 25 p. (2022). MSC: 35Q30 35Q35 37N10 76D05 76F55 35D30 PDFBibTeX XMLCite \textit{J. D. Gibbon} and \textit{D. Vincenzi}, J. Nonlinear Sci. 32, No. 6, Paper No. 87, 25 p. (2022; Zbl 1498.35388) Full Text: DOI arXiv
Zhao, Chunyan; Zhong, Chengkui; Zhu, Xiangming Existence of compact \( \varphi \)-attracting sets and estimate of their attractive velocity for infinite-dimensional dynamical systems. (English) Zbl 1498.35105 Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7493-7520 (2022). MSC: 35B41 35L20 35L71 35R09 37L30 PDFBibTeX XMLCite \textit{C. Zhao} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 12, 7493--7520 (2022; Zbl 1498.35105) Full Text: DOI
López-Lázaro, Heraclio; Nascimento, Marcelo J. D.; Rubio, Obidio Finite fractal dimension of pullback attractors for semilinear heat equation with delay in some domain with moving boundary. (English) Zbl 1498.35103 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 225, Article ID 113107, 35 p. (2022). MSC: 35B41 35K20 35K58 35R10 35R37 37L30 35Q79 PDFBibTeX XMLCite \textit{H. López-Lázaro} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 225, Article ID 113107, 35 p. (2022; Zbl 1498.35103) Full Text: DOI
Mohan, Manil T. The \(\mathbb{H}^1 \)-compact global attractor for two-dimensional convective Brinkman-Forchheimer equations in unbounded domains. (English) Zbl 1505.37091 J. Dyn. Control Syst. 28, No. 4, 791-816 (2022). MSC: 37L30 35Q35 35Q30 35B40 PDFBibTeX XMLCite \textit{M. T. Mohan}, J. Dyn. Control Syst. 28, No. 4, 791--816 (2022; Zbl 1505.37091) Full Text: DOI
Shu, Ji; Zhang, Lu; Huang, Xin; Zhang, Jian Dynamics of stochastic Ginzburg-Landau equations driven by nonlinear noise. (English) Zbl 1504.37084 Dyn. Syst. 37, No. 3, 382-402 (2022). MSC: 37L55 60H15 35Q56 35R60 PDFBibTeX XMLCite \textit{J. Shu} et al., Dyn. Syst. 37, No. 3, 382--402 (2022; Zbl 1504.37084) Full Text: DOI
Himonas, A. Alexanddrou; Yan, Fangchi A higher dispersion KdV equation on the half-line. (English) Zbl 1496.35345 J. Differ. Equations 333, 55-102 (2022). MSC: 35Q53 35G31 35G16 37K10 35A01 35A02 PDFBibTeX XMLCite \textit{A. A. Himonas} and \textit{F. Yan}, J. Differ. Equations 333, 55--102 (2022; Zbl 1496.35345) Full Text: DOI arXiv
Shu, Ji; Ma, Dandan; Huang, Xin; Zhang, Jian Wong-Zakai approximations and limiting dynamics of stochastic Ginzburg-Landau equations. (English) Zbl 1501.37078 Stoch. Dyn. 22, No. 4, Article ID 2250006, 18 p. (2022). MSC: 37L55 60H15 35Q56 PDFBibTeX XMLCite \textit{J. Shu} et al., Stoch. Dyn. 22, No. 4, Article ID 2250006, 18 p. (2022; Zbl 1501.37078) Full Text: DOI
Le, Anh Minh Inertial manifolds for functional differential equations with infinite delay. (English) Zbl 1487.34135 Asian-Eur. J. Math. 15, No. 3, Article ID 2250045, 14 p. (2022). MSC: 34K19 34K30 35K58 37L25 PDFBibTeX XMLCite \textit{A. M. Le}, Asian-Eur. J. Math. 15, No. 3, Article ID 2250045, 14 p. (2022; Zbl 1487.34135) Full Text: DOI
Nguyen, Thieu Huy; Bui, Xuan-Quang On the existence and regularity of admissibly inertial manifolds with sectorial operators. (English) Zbl 1490.35049 Dyn. Syst. 37, No. 2, 295-327 (2022). MSC: 35B42 35K51 35K58 35K90 37L25 47D06 PDFBibTeX XMLCite \textit{T. H. Nguyen} and \textit{X.-Q. Bui}, Dyn. Syst. 37, No. 2, 295--327 (2022; Zbl 1490.35049) Full Text: DOI
Son, Dang Thanh; Thuy, Le Thi Time optimal control problem of the 3D Navier-Stokes-\( \alpha\) equations. (English) Zbl 1491.35321 Numer. Funct. Anal. Optim. 43, No. 6, 667-697 (2022). MSC: 35Q30 35B41 37L30 35A01 35A02 49J20 PDFBibTeX XMLCite \textit{D. T. Son} and \textit{L. T. Thuy}, Numer. Funct. Anal. Optim. 43, No. 6, 667--697 (2022; Zbl 1491.35321) Full Text: DOI
Mohan, Manil T. Global attractors, exponential attractors and determining modes for the three dimensional Kelvin-Voigt fluids with “Fading memory”. (English) Zbl 1498.37118 Evol. Equ. Control Theory 11, No. 1, 125-167 (2022). Reviewer: Joseph Shomberg (Providence) MSC: 37L30 35Q35 35Q30 35B40 PDFBibTeX XMLCite \textit{M. T. Mohan}, Evol. Equ. Control Theory 11, No. 1, 125--167 (2022; Zbl 1498.37118) Full Text: DOI
Yamazaki, Kazuo Ergodicity of Galerkin approximations of surface quasi-geostrophic equations and Hall-magnetohydrodynamics system forced by degenerate noise. (English) Zbl 1490.35357 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 2, Paper No. 20, 52 p. (2022). MSC: 35Q35 35Q86 76W05 86A05 37L55 60H30 60H40 81V70 35A01 35A02 35R60 PDFBibTeX XMLCite \textit{K. Yamazaki}, NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 2, Paper No. 20, 52 p. (2022; Zbl 1490.35357) Full Text: DOI
Ilyin, Alexei; Kostianko, Anna; Zelik, Sergey Sharp upper and lower bounds of the attractor dimension for 3D damped Euler-Bardina equations. (English) Zbl 1490.35273 Physica D 432, Article ID 133156, 13 p. (2022). MSC: 35Q31 37D45 PDFBibTeX XMLCite \textit{A. Ilyin} et al., Physica D 432, Article ID 133156, 13 p. (2022; Zbl 1490.35273) Full Text: DOI arXiv
Yang, Lin; Wang, Yejuan; Caraballo, Tomás Regularity of global attractors and exponential attractors for \(2\)D quasi-geostrophic equations with fractional dissipation. (English) Zbl 1484.35072 Discrete Contin. Dyn. Syst., Ser. B 27, No. 3, 1345-1377 (2022). MSC: 35B41 35B65 35Q35 35Q86 37L30 PDFBibTeX XMLCite \textit{L. Yang} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 3, 1345--1377 (2022; Zbl 1484.35072) Full Text: DOI
Chen, Jing; Li, Erbo; Xue, Yushan Evolution of initial discontinuities in the Riemann problem for the Jaulent-Miodek equation with positive dispersion. (English) Zbl 1510.35261 Appl. Math. Comput. 419, Article ID 126869, 27 p. (2022). MSC: 35Q53 35Q55 37K10 PDFBibTeX XMLCite \textit{J. Chen} et al., Appl. Math. Comput. 419, Article ID 126869, 27 p. (2022; Zbl 1510.35261) Full Text: DOI
Precup, Radu On some applications of the controllability principle for fixed point equations. (English) Zbl 07483467 Results Appl. Math. 13, Article ID 100236, 7 p. (2022). MSC: 47-XX 93-XX 35Q30 37N25 PDFBibTeX XMLCite \textit{R. Precup}, Results Appl. Math. 13, Article ID 100236, 7 p. (2022; Zbl 07483467) Full Text: DOI
Carvalho, Alexandre N.; Cunha, Arthur C.; Langa, José A.; Robinson, James C. Finite-dimensional negatively invariant subsets of Banach spaces. (English) Zbl 1494.37047 J. Math. Anal. Appl. 509, No. 2, Article ID 125945, 21 p. (2022). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 37L30 37C70 37C45 28A12 28A80 35K58 35K57 35Q30 47J35 PDFBibTeX XMLCite \textit{A. N. Carvalho} et al., J. Math. Anal. Appl. 509, No. 2, Article ID 125945, 21 p. (2022; Zbl 1494.37047) Full Text: DOI
Zhang, Lu; Zou, Aihong; Yan, Tao; Shu, Ji Weak pullback attractors for stochastic Ginzburg-Landau equations in Bochner spaces. (English) Zbl 1494.37050 Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 749-768 (2022). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 37L55 37L30 60H15 35Q56 PDFBibTeX XMLCite \textit{L. Zhang} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 749--768 (2022; Zbl 1494.37050) Full Text: DOI
Huang, Jianhua; Zheng, Yan; Shen, Tianlong; Guo, Chunxiao Asymptotic properties of the 2D stochastic fractional Boussinesq equations driven by degenerate noise. (English) Zbl 1479.60130 J. Differ. Equations 310, 362-403 (2022). MSC: 60H15 37A25 35Q35 35R11 PDFBibTeX XMLCite \textit{J. Huang} et al., J. Differ. Equations 310, 362--403 (2022; Zbl 1479.60130) Full Text: DOI
Zhao, Junyilang; Shen, Jun; Wang, Xiaohu Stationary approximations of inertial manifolds for stochastic retarded semilinear parabolic equations. (English) Zbl 1490.60193 J. Math. Anal. Appl. 506, No. 2, Article ID 125668, 34 p. (2022). Reviewer: Feng-Yu Wang (Tianjin) MSC: 60H15 37H10 34C28 60H40 PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Math. Anal. Appl. 506, No. 2, Article ID 125668, 34 p. (2022; Zbl 1490.60193) Full Text: DOI
Fanelli, Francesco; Feireisl, Eduard; Hofmanová, Martina Ergodic theory for energetically open compressible fluid flows. (English) Zbl 1491.37004 Physica D 423, Article ID 132914, 25 p. (2021). MSC: 37A30 37N10 35Q30 76D05 76D06 PDFBibTeX XMLCite \textit{F. Fanelli} et al., Physica D 423, Article ID 132914, 25 p. (2021; Zbl 1491.37004) Full Text: DOI arXiv
Himonas, A. Alexandrou; Madrid, Carlos; Yan, Fangchi The Neumann and Robin problems for the Korteweg-de Vries equation on the half-line. (English) Zbl 1492.35264 J. Math. Phys. 62, No. 11, Article ID 111503, 24 p. (2021). MSC: 35Q53 35A01 35A02 37K15 35C08 PDFBibTeX XMLCite \textit{A. A. Himonas} et al., J. Math. Phys. 62, No. 11, Article ID 111503, 24 p. (2021; Zbl 1492.35264) Full Text: DOI
Ilyin, Alexei A.; Zelik, Sergey Sharp dimension estimates of the attractor of the damped 2D Euler-Bardina equations. (English) Zbl 1479.35101 Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 209-229 (2021). MSC: 35B40 35B41 35B45 35Q31 37L30 PDFBibTeX XMLCite \textit{A. A. Ilyin} and \textit{S. Zelik}, in: Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). 209--229 (2021; Zbl 1479.35101) Full Text: DOI arXiv
Vu, Thi Ngoc Ha; Nguyen, Thieu Huy; Le, Anh Minh Admissible inertial manifolds for neutral equations and applications. (English) Zbl 1484.37087 Dyn. Syst. 36, No. 4, 608-630 (2021). MSC: 37L25 34K40 35R10 PDFBibTeX XMLCite \textit{T. N. H. Vu} et al., Dyn. Syst. 36, No. 4, 608--630 (2021; Zbl 1484.37087) Full Text: DOI
Anh, Cung The; Thuy, Le Thi; Tinh, Le Tran Long-time behavior of a family of incompressible three-dimensional Leray-\(\alpha\)-like models. (English) Zbl 1477.35152 Bull. Korean Math. Soc. 58, No. 5, 1109-1127 (2021). MSC: 35Q35 37L30 76D03 76D05 76F20 76F65 26A33 35R11 35D30 35B41 35B40 PDFBibTeX XMLCite \textit{C. T. Anh} et al., Bull. Korean Math. Soc. 58, No. 5, 1109--1127 (2021; Zbl 1477.35152) Full Text: DOI
Baldi, Pietro; Montalto, Riccardo Quasi-periodic incompressible Euler flows in 3D. (English) Zbl 1483.37091 Adv. Math. 384, Article ID 107730, 74 p. (2021). MSC: 37K55 35Q31 35Q35 76B03 76D03 PDFBibTeX XMLCite \textit{P. Baldi} and \textit{R. Montalto}, Adv. Math. 384, Article ID 107730, 74 p. (2021; Zbl 1483.37091) Full Text: DOI arXiv
Li, Xinhua; Sun, Chunyou Inertial manifolds for a singularly non-autonomous semi-linear parabolic equations. (English) Zbl 1475.35056 Proc. Am. Math. Soc. 149, No. 12, 5275-5289 (2021). MSC: 35B40 35B42 35K58 35K90 37B55 PDFBibTeX XMLCite \textit{X. Li} and \textit{C. Sun}, Proc. Am. Math. Soc. 149, No. 12, 5275--5289 (2021; Zbl 1475.35056) Full Text: DOI
Anh, Cung The; Bach, Bui Huy Continuous data assimilation for the three-dimensional simplified Bardina model utilizing measurements of only two components of the velocity field. (English) Zbl 1475.35255 J. Korean Math. Soc. 58, No. 1, 1-28 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q35 93C20 76B75 37C50 35A01 35A02 35D30 35D35 PDFBibTeX XMLCite \textit{C. T. Anh} and \textit{B. H. Bach}, J. Korean Math. Soc. 58, No. 1, 1--28 (2021; Zbl 1475.35255) Full Text: DOI
Campolina, Ciro S.; Mailybaev, Alexei A. Fluid dynamics on logarithmic lattices. (English) Zbl 1468.76004 Nonlinearity 34, No. 7, 4684-4715 (2021). MSC: 76A02 76B03 76D03 76F20 37N10 PDFBibTeX XMLCite \textit{C. S. Campolina} and \textit{A. A. Mailybaev}, Nonlinearity 34, No. 7, 4684--4715 (2021; Zbl 1468.76004) Full Text: DOI arXiv
Das, Suddhasattwa; Giannakis, Dimitrios; Slawinska, Joanna Reproducing kernel Hilbert space compactification of unitary evolution groups. (English) Zbl 1473.37101 Appl. Comput. Harmon. Anal. 54, 75-136 (2021). MSC: 37M25 81V45 PDFBibTeX XMLCite \textit{S. Das} et al., Appl. Comput. Harmon. Anal. 54, 75--136 (2021; Zbl 1473.37101) Full Text: DOI arXiv
Li, Ze Analytic smoothing estimates for the Korteweg-de Vries equation with steplike data. (English) Zbl 1467.35288 Nonlinearity 34, No. 7, 5070-5118 (2021). MSC: 35Q53 37K15 34B24 93B07 PDFBibTeX XMLCite \textit{Z. Li}, Nonlinearity 34, No. 7, 5070--5118 (2021; Zbl 1467.35288) Full Text: DOI
Cavallaro, Guido; Garra, Roberto; Marchioro, Carlo Long time localization of modified surface quasi-geostrophic equations. (English) Zbl 1466.76015 Discrete Contin. Dyn. Syst., Ser. B 26, No. 9, 5135-5148 (2021). MSC: 76B99 35Q31 37N10 PDFBibTeX XMLCite \textit{G. Cavallaro} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 9, 5135--5148 (2021; Zbl 1466.76015) Full Text: DOI arXiv
Hong, Younghun; Kwak, Chulkwang; Yang, Changhun On the Korteweg-de Vries limit for the Fermi-Pasta-Ulam system. (English) Zbl 1477.35220 Arch. Ration. Mech. Anal. 240, No. 2, 1091-1145 (2021). MSC: 35Q53 37K60 82C22 PDFBibTeX XMLCite \textit{Y. Hong} et al., Arch. Ration. Mech. Anal. 240, No. 2, 1091--1145 (2021; Zbl 1477.35220) Full Text: DOI arXiv
Hong, Wei; Li, Shihu; Liu, Wei Asymptotic log-Harnack inequality and applications for stochastic 2D hydrodynamical-type systems with degenerate noise. (English) Zbl 1462.60086 J. Evol. Equ. 21, No. 1, 419-440 (2021). MSC: 60H15 37A25 35Q30 35Q35 PDFBibTeX XMLCite \textit{W. Hong} et al., J. Evol. Equ. 21, No. 1, 419--440 (2021; Zbl 1462.60086) Full Text: DOI
Bedrossian, Jacob; Blumenthal, Alex; Punshon-Smith, Sam Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection-diffusion by stochastic Navier-Stokes. (English) Zbl 1465.37099 Probab. Theory Relat. Fields 179, No. 3-4, 777-834 (2021). MSC: 37N10 37A25 35R60 60H15 76D06 76F20 PDFBibTeX XMLCite \textit{J. Bedrossian} et al., Probab. Theory Relat. Fields 179, No. 3--4, 777--834 (2021; Zbl 1465.37099) Full Text: DOI arXiv
O’Rourke, Sean; Steinerberger, Stefan A nonlocal transport equation modeling complex roots of polynomials under differentiation. (English) Zbl 1480.35343 Proc. Am. Math. Soc. 149, No. 4, 1581-1592 (2021). Reviewer: Artyom Andronov (Saransk) MSC: 35Q49 44A15 82C70 26C10 31A99 37F10 PDFBibTeX XMLCite \textit{S. O'Rourke} and \textit{S. Steinerberger}, Proc. Am. Math. Soc. 149, No. 4, 1581--1592 (2021; Zbl 1480.35343) Full Text: DOI arXiv
Giannakis, Dimitrios Delay-coordinate maps, coherence, and approximate spectra of evolution operators. (English) Zbl 1460.37077 Res. Math. Sci. 8, No. 1, Paper No. 8, 34 p. (2021). MSC: 37M25 37M05 PDFBibTeX XMLCite \textit{D. Giannakis}, Res. Math. Sci. 8, No. 1, Paper No. 8, 34 p. (2021; Zbl 1460.37077) Full Text: DOI arXiv
Slobodeanu, Radu Steady Euler flows on the 3-sphere and other Sasakian 3-manifolds. (English) Zbl 1458.35320 Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 5, 14 p. (2021). MSC: 35Q31 37C10 53B50 53C25 35B32 76M60 PDFBibTeX XMLCite \textit{R. Slobodeanu}, Qual. Theory Dyn. Syst. 20, No. 1, Paper No. 5, 14 p. (2021; Zbl 1458.35320) Full Text: DOI arXiv
Li, Xiaojun Uniform random attractors for 2D non-autonomous stochastic Navier-Stokes equations. (English) Zbl 1458.35303 J. Differ. Equations 276, 1-42 (2021). MSC: 35Q30 35B40 37B55 35B41 35B65 76D05 60J65 37L30 37L05 35R60 PDFBibTeX XMLCite \textit{X. Li}, J. Differ. Equations 276, 1--42 (2021; Zbl 1458.35303) Full Text: DOI
Alexander, Romeo; Giannakis, Dimitrios Operator-theoretic framework for forecasting nonlinear time series with kernel analog techniques. (English) Zbl 1496.37085 Physica D 409, Article ID 132520, 24 p. (2020). MSC: 37M10 PDFBibTeX XMLCite \textit{R. Alexander} and \textit{D. Giannakis}, Physica D 409, Article ID 132520, 24 p. (2020; Zbl 1496.37085) Full Text: DOI arXiv
Shu, Ji; Zhang, Jian Random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations on unbounded domains. (English) Zbl 1483.37095 J. Appl. Anal. Comput. 10, No. 6, 2592-2618 (2020). MSC: 37L55 37L30 60H15 35Q56 35R60 35R11 26A33 PDFBibTeX XMLCite \textit{J. Shu} and \textit{J. Zhang}, J. Appl. Anal. Comput. 10, No. 6, 2592--2618 (2020; Zbl 1483.37095) Full Text: DOI
Le, Anh Minh Inertial manifolds for neutral functional differential equations with infinite delay and applications. (English) Zbl 1467.35059 Ann. Pol. Math. 125, No. 3, 255-271 (2020). MSC: 35B42 35B40 37L25 35K58 35R10 PDFBibTeX XMLCite \textit{A. M. Le}, Ann. Pol. Math. 125, No. 3, 255--271 (2020; Zbl 1467.35059) Full Text: DOI
Le, Anh Minh Admissible inertial manifolds for second order in time evolution equations. (English) Zbl 1474.35134 Khayyam J. Math. 6, No. 2, 155-173 (2020). MSC: 35B42 37L25 35L90 PDFBibTeX XMLCite \textit{A. M. Le}, Khayyam J. Math. 6, No. 2, 155--173 (2020; Zbl 1474.35134)
Froyland, Gary; Koltai, Péter; Stahn, Martin Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration. (English) Zbl 1468.37058 SIAM J. Appl. Dyn. Syst. 19, No. 3, 1659-1700 (2020). Reviewer: Mohammad Sajid (Buraidah) MSC: 37M25 37M05 47D07 49R05 PDFBibTeX XMLCite \textit{G. Froyland} et al., SIAM J. Appl. Dyn. Syst. 19, No. 3, 1659--1700 (2020; Zbl 1468.37058) Full Text: DOI arXiv
Giannakis, Dimitrios; Das, Suddhasattwa Extraction and prediction of coherent patterns in incompressible flows through space-time koopman analysis. (English) Zbl 1453.76179 Physica D 402, Article ID 132211, 38 p. (2020). MSC: 76M35 37A50 37N10 37L65 47A75 PDFBibTeX XMLCite \textit{D. Giannakis} and \textit{S. Das}, Physica D 402, Article ID 132211, 38 p. (2020; Zbl 1453.76179) Full Text: DOI arXiv
Jendoubi, C. On the theory of integral manifolds for some delayed partial differential equations with nondense domain. (English) Zbl 1453.35176 Ukr. Math. J. 72, No. 6, 900-916 (2020) and Ukr. Mat. Zh. 72, No. 6, 776-789 (2020). MSC: 35R10 35L90 35K90 35B42 37L25 PDFBibTeX XMLCite \textit{C. Jendoubi}, Ukr. Math. J. 72, No. 6, 900--916 (2020; Zbl 1453.35176) Full Text: DOI
Ma, Dandan; Shu, Ji; Qin, Ling Wong-Zakai approximations and asymptotic behavior of stochastic Ginzburg-Landau equations. (English) Zbl 1457.37098 Discrete Contin. Dyn. Syst., Ser. B 25, No. 11, 4335-4359 (2020). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 37L55 37L30 60H15 35Q56 60J65 PDFBibTeX XMLCite \textit{D. Ma} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 11, 4335--4359 (2020; Zbl 1457.37098) Full Text: DOI
Gerlach, Raphael; Ziessler, Adrian The approximation of invariant sets in infinite dimensional dynamical systems. (English) Zbl 1455.37065 Junge, Oliver (ed.) et al., Advances in dynamics, optimization and computation. A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday. Cham: Springer. Stud. Syst. Decis. Control 304, 66-85 (2020). Reviewer: Mohammad Sajid (Buraidah) MSC: 37M21 37M22 37L10 37C79 35K57 PDFBibTeX XMLCite \textit{R. Gerlach} and \textit{A. Ziessler}, Stud. Syst. Decis. Control 304, 66--85 (2020; Zbl 1455.37065) Full Text: DOI
Butkovsky, Oleg; Scheutzow, Michael Couplings via comparison principle and exponential ergodicity of SPDEs in the hypoelliptic setting. (English) Zbl 1468.60077 Commun. Math. Phys. 379, No. 3, 1001-1034 (2020). MSC: 60H15 37H10 60J05 PDFBibTeX XMLCite \textit{O. Butkovsky} and \textit{M. Scheutzow}, Commun. Math. Phys. 379, No. 3, 1001--1034 (2020; Zbl 1468.60077) Full Text: DOI arXiv
Hong, Wei; Li, Shihu; Liu, Wei Asymptotic log-Harnack inequality and applications for SPDE with degenerate multiplicative noise. (English) Zbl 1454.60094 Stat. Probab. Lett. 164, Article ID 108810, 7 p. (2020). Reviewer: El Houcein El Abdalaoui (Saint Etienne du Rouvray) MSC: 60H15 37A25 PDFBibTeX XMLCite \textit{W. Hong} et al., Stat. Probab. Lett. 164, Article ID 108810, 7 p. (2020; Zbl 1454.60094) Full Text: DOI
Fanelli, Francesco; Feireisl, Eduard Statistical solutions to the barotropic Navier-Stokes system. (English) Zbl 1455.35172 J. Stat. Phys. 181, No. 1, 212-245 (2020). Reviewer: Il’ya Sh. Mogilevskii (Tver’) MSC: 35Q30 76N06 35R60 35D30 35B65 37A50 60H30 PDFBibTeX XMLCite \textit{F. Fanelli} and \textit{E. Feireisl}, J. Stat. Phys. 181, No. 1, 212--245 (2020; Zbl 1455.35172) Full Text: DOI arXiv
Hu, Weiwei An approximating control design for optimal mixing by Stokes flows. (English) Zbl 1448.35527 Appl. Math. Optim. 82, No. 2, 471-498 (2020). MSC: 35Q93 37A25 49J20 49K20 76B75 76F25 PDFBibTeX XMLCite \textit{W. Hu}, Appl. Math. Optim. 82, No. 2, 471--498 (2020; Zbl 1448.35527) Full Text: DOI arXiv
Zheng, Yan; Huang, Jianhua Exponential mixing properties of the stochastic tamed 3D Navier-Stokes equation with degenerate noise. (English) Zbl 1451.60074 Z. Angew. Math. Phys. 71, No. 4, Paper No. 125, 15 p. (2020). Reviewer: Martin Ondreját (Praha) MSC: 60H15 37A25 35Q30 PDFBibTeX XMLCite \textit{Y. Zheng} and \textit{J. Huang}, Z. Angew. Math. Phys. 71, No. 4, Paper No. 125, 15 p. (2020; Zbl 1451.60074) Full Text: DOI
Kalita, Piotr; Łukaszewicz, Grzegorz; Siemianowski, Jakub Nonlinear semigroups and their perturbations in hydrodynamics. Three examples. (English) Zbl 1501.47094 Banasiak, Jacek (ed.) et al., Semigroups of operators – theory and applications. Selected papers based on the presentations at the conference, SOTA 2018, Kazimierz Dolny, Poland, September 30 – October 5, 2018. In honour of Jan Kisyński’s 85th birthday. Cham: Springer. Springer Proc. Math. Stat. 325, 227-250 (2020). MSC: 47H20 47H14 35B41 37C70 35Q30 76D05 PDFBibTeX XMLCite \textit{P. Kalita} et al., Springer Proc. Math. Stat. 325, 227--250 (2020; Zbl 1501.47094) Full Text: DOI
Cheskidov, Alexey; Dai, Mimi On the determining wavenumber for the nonautonomous subcritical SQG equation. (English) Zbl 1446.35121 J. Dyn. Differ. Equations 32, No. 3, 1511-1525 (2020). MSC: 35Q35 37L30 35B41 35Q86 86A05 PDFBibTeX XMLCite \textit{A. Cheskidov} and \textit{M. Dai}, J. Dyn. Differ. Equations 32, No. 3, 1511--1525 (2020; Zbl 1446.35121) Full Text: DOI arXiv
Mohan, Manil T. Global and exponential attractors for the 3D Kelvin-Voigt-Brinkman-Forchheimer equations. (English) Zbl 1447.37064 Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3393-3436 (2020). MSC: 37L30 35Q35 35Q30 35B40 PDFBibTeX XMLCite \textit{M. T. Mohan}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 9, 3393--3436 (2020; Zbl 1447.37064) Full Text: DOI
Chekroun, Mickaël D.; Liu, Honghu; McWilliams, James C. Variational approach to closure of nonlinear dynamical systems: autonomous case. (English) Zbl 1447.37070 J. Stat. Phys. 179, No. 5-6, 1073-1160 (2020). MSC: 37M21 70G75 PDFBibTeX XMLCite \textit{M. D. Chekroun} et al., J. Stat. Phys. 179, No. 5--6, 1073--1160 (2020; Zbl 1447.37070) Full Text: DOI arXiv
Bessaih, Hakima; Garrido-Atienza, María J.; Köpp, Verena; Schmalfuß, Björn; Yang, Meihua Synchronization of stochastic lattice equations. (English) Zbl 1443.60033 NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 4, Paper No. 36, 25 p. (2020). MSC: 60G10 37L55 37C75 37L99 PDFBibTeX XMLCite \textit{H. Bessaih} et al., NoDEA, Nonlinear Differ. Equ. Appl. 27, No. 4, Paper No. 36, 25 p. (2020; Zbl 1443.60033) Full Text: DOI
Cao, Dat; Hoang, Luan Asymptotic expansions in a general system of decaying functions for solutions of the Navier-Stokes equations. (English) Zbl 1442.35294 Ann. Mat. Pura Appl. (4) 199, No. 3, 1023-1072 (2020). MSC: 35Q30 35C20 35B40 37L05 76D05 35D30 PDFBibTeX XMLCite \textit{D. Cao} and \textit{L. Hoang}, Ann. Mat. Pura Appl. (4) 199, No. 3, 1023--1072 (2020; Zbl 1442.35294) Full Text: DOI arXiv
Butkovsky, Oleg; Kulik, Alexei; Scheutzow, Michael Generalized couplings and ergodic rates for SPDEs and other Markov models. (English) Zbl 1434.60147 Ann. Appl. Probab. 30, No. 1, 1-39 (2020). MSC: 60H15 37L40 60J25 PDFBibTeX XMLCite \textit{O. Butkovsky} et al., Ann. Appl. Probab. 30, No. 1, 1--39 (2020; Zbl 1434.60147) Full Text: DOI arXiv Euclid
Wang, Fenfen; Cheng, Hongyu; Si, Jianguo Response solution to ill-posed Boussinesq equation with quasi-periodic forcing of Liouvillean frequency. (English) Zbl 1437.35017 J. Nonlinear Sci. 30, No. 2, 657-710 (2020). MSC: 35B15 35B20 37K55 70K43 PDFBibTeX XMLCite \textit{F. Wang} et al., J. Nonlinear Sci. 30, No. 2, 657--710 (2020; Zbl 1437.35017) Full Text: DOI