Gazzola, Filippo; Pata, Vittorino; Patriarca, Clara Attractors for a fluid-structure interaction problem in a time-dependent phase space. (English) Zbl 07794580 J. Funct. Anal. 286, No. 2, Article ID 110199, 56 p. (2024). MSC: 74F10 35B41 35Q30 PDFBibTeX XMLCite \textit{F. Gazzola} et al., J. Funct. Anal. 286, No. 2, Article ID 110199, 56 p. (2024; Zbl 07794580) Full Text: DOI
Gabel, Fabian; Tolksdorf, Patrick The Stokes operator in two-dimensional bounded Lipschitz domains. (English) Zbl 07604815 J. Differ. Equations 340, 227-272 (2022). MSC: 47B12 35Q30 76D03 76D05 76D07 PDFBibTeX XMLCite \textit{F. Gabel} and \textit{P. Tolksdorf}, J. Differ. Equations 340, 227--272 (2022; Zbl 07604815) Full Text: DOI arXiv
Yang, Xin-Guang; Qin, Yuming; Lu, Yongjin; Ma, To Fu Dynamics of 2D incompressible non-autonomous Navier-Stokes equations on Lipschitz-like domains. (English) Zbl 1473.35416 Appl. Math. Optim. 83, No. 3, 2129-2183 (2021). MSC: 35Q30 35B40 35B41 76D03 76D05 35B20 35B65 PDFBibTeX XMLCite \textit{X.-G. Yang} et al., Appl. Math. Optim. 83, No. 3, 2129--2183 (2021; Zbl 1473.35416) Full Text: DOI arXiv
Yang, Xin-Guang; Wang, Rong-Nian; Yan, Xingjie; Miranville, Alain Dynamics of the 2D Navier-Stokes equations with sublinear operators in Lipschitz-like domains. (English) Zbl 1470.35263 Discrete Contin. Dyn. Syst. 41, No. 7, 3343-3366 (2021). MSC: 35Q30 35B40 35B41 76D03 76D05 35R07 PDFBibTeX XMLCite \textit{X.-G. Yang} et al., Discrete Contin. Dyn. Syst. 41, No. 7, 3343--3366 (2021; Zbl 1470.35263) Full Text: DOI
Larkin, N. A.; Padilha, M. V. Decay of solutions for 2D Navier-Stokes equations posed on Lipschitz and smooth bounded and unbounded domains. (English) Zbl 1456.35153 J. Differ. Equations 266, No. 11, 7545-7568 (2019). Reviewer: Georg V. Jaiani (Tbilisi) MSC: 35Q30 35B40 76D03 76D05 PDFBibTeX XMLCite \textit{N. A. Larkin} and \textit{M. V. Padilha}, J. Differ. Equations 266, No. 11, 7545--7568 (2019; Zbl 1456.35153) Full Text: DOI
Larkin, N. A. Decay of strong solutions for 4D Navier-Stokes equations posed on Lipschitz domains. (English) Zbl 1421.35248 Adv. Math. Phys. 2018, Article ID 5807385, 7 p. (2018). MSC: 35Q30 35D35 35B65 35A01 35A02 76D05 PDFBibTeX XMLCite \textit{N. A. Larkin}, Adv. Math. Phys. 2018, Article ID 5807385, 7 p. (2018; Zbl 1421.35248) Full Text: DOI
Zhang, Jin; Zhong, Chengkui On global attractors for a class of reaction-diffusion equations on unbounded domains with some strongly nonlinear weighted term. (English) Zbl 1418.35249 Discrete Dyn. Nat. Soc. 2015, Article ID 251614, 10 p. (2015). MSC: 35K91 35B41 35K15 37L30 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{C. Zhong}, Discrete Dyn. Nat. Soc. 2015, Article ID 251614, 10 p. (2015; Zbl 1418.35249) Full Text: DOI
Su, Keqin; Zhao, Mingxia; Cao, Jie Pullback attractors of 2D Navier-Stokes-Voigt equations with delay on a non-smooth domain. (English) Zbl 1330.35046 Bound. Value Probl. 2015, Paper No. 243, 27 p. (2015). MSC: 35B41 35Q30 PDFBibTeX XMLCite \textit{K. Su} et al., Bound. Value Probl. 2015, Paper No. 243, 27 p. (2015; Zbl 1330.35046) Full Text: DOI
Meng, Fengjuan; Zhong, Chengkui Multiple equilibrium points in global attractor for the weakly damped wave equation with critical exponent. (English) Zbl 1288.35101 Discrete Contin. Dyn. Syst., Ser. B 19, No. 1, 217-230 (2014). Reviewer: Svetlin Georgiev (Rousse) MSC: 35B41 37L05 35B40 58J20 35L71 35L20 PDFBibTeX XMLCite \textit{F. Meng} and \textit{C. Zhong}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 1, 217--230 (2014; Zbl 1288.35101) Full Text: DOI
Anh, Cung The; Son, Dang Thanh Pullback attractors for nonautonomous 2D Bénard problem in some unbounded domains. (English) Zbl 1304.35108 Math. Methods Appl. Sci. 36, No. 13, 1664-1684 (2013). Reviewer: Bixiang Wang (Socorro) MSC: 35B41 35Q35 37L55 37L30 35Q30 PDFBibTeX XMLCite \textit{C. T. Anh} and \textit{D. T. Son}, Math. Methods Appl. Sci. 36, No. 13, 1664--1684 (2013; Zbl 1304.35108) Full Text: DOI
Li, Yongjun; Wu, Hongqing; Zhao, Tinggang Necessary and sufficient conditions for the existence of exponential attractors for semigroups, and applications. (English) Zbl 1252.35078 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 17, 6297-6305 (2012). MSC: 35B41 35K57 35B40 35Q30 PDFBibTeX XMLCite \textit{Y. Li} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 17, 6297--6305 (2012; Zbl 1252.35078) Full Text: DOI
Amrouche, Chérif; Rodríguez-Bellido, M. Ángeles Stationary Stokes, Oseen and Navier-Stokes equations with singular data. (English) Zbl 1229.35164 Arch. Ration. Mech. Anal. 199, No. 2, 597-651 (2011). Reviewer: Qin Mengzhao (Beijing) MSC: 35Q30 76D03 76D05 76D07 PDFBibTeX XMLCite \textit{C. Amrouche} and \textit{M. Á. Rodríguez-Bellido}, Arch. Ration. Mech. Anal. 199, No. 2, 597--651 (2011; Zbl 1229.35164) Full Text: DOI
Zhong, Chengkui; Niu, Weisheng On the \(Z_2\) index of the global attractor for a class of \(p\)-Laplacian equations. (English) Zbl 1205.35034 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 12, 3698-3704 (2010). Reviewer: Jauber C. Oliveira (Florianopolis) MSC: 35B41 37L30 35K92 35K20 PDFBibTeX XMLCite \textit{C. Zhong} and \textit{W. Niu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 12, 3698--3704 (2010; Zbl 1205.35034) Full Text: DOI
Chen, Guang-Xia Pullback attractor for non-homogeneous micropolar fluid flows in non-smooth domains. (English) Zbl 1188.37074 Nonlinear Anal., Real World Appl. 10, No. 5, 3018-3027 (2009). Reviewer: Hans Crauel (Frankfurt) MSC: 37L30 35B41 37N10 76A05 PDFBibTeX XMLCite \textit{G.-X. Chen}, Nonlinear Anal., Real World Appl. 10, No. 5, 3018--3027 (2009; Zbl 1188.37074) Full Text: DOI
Yan, Xingjie; Zhong, Chengkui On pullback attractor for non-autonomous weakly dissipative wave equations. (English) Zbl 1165.37034 Dyn. Syst. 24, No. 1, 97-108 (2009). Reviewer: Bruno Scarpellini (Basel) MSC: 37L30 35L05 PDFBibTeX XMLCite \textit{X. Yan} and \textit{C. Zhong}, Dyn. Syst. 24, No. 1, 97--108 (2009; Zbl 1165.37034) Full Text: DOI
Korotkii, A. I.; Kovtunov, D. A. On solvability of stationary problems of natural thermal convection of a high-viscosity fluid. (English. Russian original) Zbl 1234.35064 Proc. Steklov Inst. Math. 261, Suppl. 1, S117-S130 (2008); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 1 (2008). MSC: 35D30 35Q35 35B65 35B30 PDFBibTeX XMLCite \textit{A. I. Korotkii} and \textit{D. A. Kovtunov}, Proc. Steklov Inst. Math. 261, S117--S130 (2008; Zbl 1234.35064); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 1 (2008) Full Text: DOI
Wu, Delin The uniform attractors for the nonhomogeneous 2D Navier-Stokes equations in some unbounded domain. (English) Zbl 1144.37034 Bound. Value Probl. 2008, Article ID 831746, 12 p. (2008). MSC: 37L30 35Q30 37N10 76D05 35B41 PDFBibTeX XMLCite \textit{D. Wu}, Bound. Value Probl. 2008, Article ID 831746, 12 p. (2008; Zbl 1144.37034) Full Text: DOI EuDML
Mitrea, Marius; Monniaux, Sylvie The regularity of the Stokes operator and the Fujita-Kato approach to the Navier-Stokes initial value problem in Lipschitz domains. (English) Zbl 1143.47031 J. Funct. Anal. 254, No. 6, 1522-1574 (2008). Reviewer: Alan Jeffrey (Newcastle upon Tyne) MSC: 47F05 35Q30 46E35 47N20 PDFBibTeX XMLCite \textit{M. Mitrea} and \textit{S. Monniaux}, J. Funct. Anal. 254, No. 6, 1522--1574 (2008; Zbl 1143.47031) Full Text: DOI
Wu, Delin; Zhong, Chengkui The attractors for the nonhomogeneous nonautonomous Navier–Stokes equations. (English) Zbl 1111.35042 J. Math. Anal. Appl. 321, No. 1, 426-444 (2006). Reviewer: Bruno Scarpellini (Basel) MSC: 35Q30 37L30 76D05 PDFBibTeX XMLCite \textit{D. Wu} and \textit{C. Zhong}, J. Math. Anal. Appl. 321, No. 1, 426--444 (2006; Zbl 1111.35042) Full Text: DOI
Dindoŝ, Martin; Mitrea, Marius The stationary Navier-Stokes system in nonsmooth manifolds: the Poisson problem in Lipschitz and \(C^{1}\) domains. (English) Zbl 1059.76014 Arch. Ration. Mech. Anal. 174, No. 1, 1-47 (2004). MSC: 76D03 35Q30 PDFBibTeX XMLCite \textit{M. Dindoŝ} and \textit{M. Mitrea}, Arch. Ration. Mech. Anal. 174, No. 1, 1--47 (2004; Zbl 1059.76014) Full Text: DOI