Haque, Md. Rabiul; Ioku, Norisuke; Ogawa, Takayoshi; Sato, Ryuichi Well-posedness of the Cauchy problem for convection-diffusion equations in uniformly local Lebesgue spaces. (English) Zbl 1474.35404 Differ. Integral Equ. 34, No. 3-4, 223-244 (2021). Reviewer: Rodica Luca (Iaşi) MSC: 35K58 35Q30 35A01 76D05 PDFBibTeX XMLCite \textit{Md. R. Haque} et al., Differ. Integral Equ. 34, No. 3--4, 223--244 (2021; Zbl 1474.35404)
Aoki, Motofumi; Iwabuchi, Tsukasa Remark on smoothing property of weak solutions for the Navier-Stokes equations. (English) Zbl 1474.35513 Differ. Integral Equ. 34, No. 3-4, 199-222 (2021). MSC: 35Q30 76D03 76D05 PDFBibTeX XMLCite \textit{M. Aoki} and \textit{T. Iwabuchi}, Differ. Integral Equ. 34, No. 3--4, 199--222 (2021; Zbl 1474.35513)
de Carvalho, Pitágoras Pinheiro; Fernández-Cara, Enrique Weak-renormalized solutions for a simplified \(k\)-\(\varepsilon\) model of turbulence. (English) Zbl 1463.76012 Differ. Integral Equ. 31, No. 11-12, 893-908 (2018). MSC: 76D05 76F60 35Q30 35Q35 PDFBibTeX XMLCite \textit{P. P. de Carvalho} and \textit{E. Fernández-Cara}, Differ. Integral Equ. 31, No. 11--12, 893--908 (2018; Zbl 1463.76012)
Abidi, Hammadi; Paicu, Marius On the global well-posedness of 3-D Navier-Stokes equations with vanishing horizontal viscosity. (English) Zbl 1449.35347 Differ. Integral Equ. 31, No. 5-6, 329-352 (2018). MSC: 35Q35 76D03 76D05 76D09 PDFBibTeX XMLCite \textit{H. Abidi} and \textit{M. Paicu}, Differ. Integral Equ. 31, No. 5--6, 329--352 (2018; Zbl 1449.35347)
Maryani, Sri; Saito, Hirokazu On the \(\mathcal{R}\)-boundedness of solution operator families for two-phase Stokes resolvent equations. (English) Zbl 1424.35277 Differ. Integral Equ. 30, No. 1-2, 1-52 (2017). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{S. Maryani} and \textit{H. Saito}, Differ. Integral Equ. 30, No. 1--2, 1--52 (2017; Zbl 1424.35277) Full Text: arXiv
Wang, Dehua; Wang, Huaqiao Global existence of martingale solutions to the three-dimensional stochastic compressible Navier-Stokes equations. (English) Zbl 1374.60119 Differ. Integral Equ. 28, No. 11-12, 1105-1154 (2015). Reviewer: Martin Ondreját (Praha) MSC: 60H15 35Q30 35Q35 76D05 60G44 PDFBibTeX XMLCite \textit{D. Wang} and \textit{H. Wang}, Differ. Integral Equ. 28, No. 11--12, 1105--1154 (2015; Zbl 1374.60119)
Guo, Boling; Huang, Daiwen On the primitive equations of large-scale ocean with random boundary. (English) Zbl 1240.86003 Differ. Integral Equ. 23, No. 3-4, 373-398 (2010). MSC: 86A05 35Q35 60H15 76D05 76M35 PDFBibTeX XMLCite \textit{B. Guo} and \textit{D. Huang}, Differ. Integral Equ. 23, No. 3--4, 373--398 (2010; Zbl 1240.86003)
Fernando, B. P. W.; Sritharan, S. S.; Xu, M. A simple proof of global solvability of 2-D Navier-Stokes equations in unbounded domains. (English) Zbl 1240.35383 Differ. Integral Equ. 23, No. 3-4, 223-235 (2010). MSC: 35Q30 76D05 35A01 PDFBibTeX XMLCite \textit{B. P. W. Fernando} et al., Differ. Integral Equ. 23, No. 3--4, 223--235 (2010; Zbl 1240.35383)
Cai, Zhihui; Fan, Jishan; Zhai, Jian Regularity criteria in weak spaces for 3-dimensional Navier-Stokes equations in terms of the pressure. (English) Zbl 1240.35380 Differ. Integral Equ. 23, No. 11-12, 1023-1033 (2010). MSC: 35Q30 35B65 76D05 PDFBibTeX XMLCite \textit{Z. Cai} et al., Differ. Integral Equ. 23, No. 11--12, 1023--1033 (2010; Zbl 1240.35380)
Mitrea, Marius; Monniaux, Sylvie The nonlinear Hodge-Navier-Stokes equations in Lipschitz domains. (English) Zbl 1240.35412 Differ. Integral Equ. 22, No. 3-4, 339-356 (2009). Reviewer: Šárka Nečasová (Praha) MSC: 35Q35 76D05 PDFBibTeX XMLCite \textit{M. Mitrea} and \textit{S. Monniaux}, Differ. Integral Equ. 22, No. 3--4, 339--356 (2009; Zbl 1240.35412)
Boudin, Laurent; Desvillettes, Laurent; Grandmont, Céline; Moussa, Ayman Global existence of solutions for the coupled Vlasov and Navier-Stokes equations. (English) Zbl 1240.35403 Differ. Integral Equ. 22, No. 11-12, 1247-1271 (2009). Reviewer: Šárka Nečasová (Praha) MSC: 35Q35 76T10 76D05 35D30 PDFBibTeX XMLCite \textit{L. Boudin} et al., Differ. Integral Equ. 22, No. 11--12, 1247--1271 (2009; Zbl 1240.35403)
Hmidi, Taoufik; Zerguine, Mohamed Inviscid limit for axisymmetric Navier-Stokes system. (English) Zbl 1228.76037 Differ. Integral Equ. 22, No. 11-12, 1223-1246 (2009). Reviewer: Šárka Nečasová (Praha) MSC: 76D03 35B30 35Q35 76D05 PDFBibTeX XMLCite \textit{T. Hmidi} and \textit{M. Zerguine}, Differ. Integral Equ. 22, No. 11--12, 1223--1246 (2009; Zbl 1228.76037)
Fan, Jishan; Ozawa, Tohru Regularity criteria for the generalized Navier-Stokes and related equations. (English) Zbl 1224.35313 Differ. Integral Equ. 21, No. 7-8, 681-691 (2008). MSC: 35Q30 35B65 76D05 58J35 PDFBibTeX XMLCite \textit{J. Fan} and \textit{T. Ozawa}, Differ. Integral Equ. 21, No. 7--8, 681--691 (2008; Zbl 1224.35313)
Fan, Jishan; Ozawa, Tohru On the regularity criteria for the generalized Navier-Stokes equations and Lagrangian averaged Euler equations. (English) Zbl 1224.35338 Differ. Integral Equ. 21, No. 5-6, 443-457 (2008). MSC: 35Q35 35B65 76D05 PDFBibTeX XMLCite \textit{J. Fan} and \textit{T. Ozawa}, Differ. Integral Equ. 21, No. 5--6, 443--457 (2008; Zbl 1224.35338)
Manna, Utpal; Sritharan, S. S. Lyapunov functionals and local dissipativity for the vorticity equation in \(L^p\) and Besov spaces. (English) Zbl 1212.35367 Differ. Integral Equ. 20, No. 5, 481-498 (2007). MSC: 35Q35 47H06 76D03 76D05 PDFBibTeX XMLCite \textit{U. Manna} and \textit{S. S. Sritharan}, Differ. Integral Equ. 20, No. 5, 481--498 (2007; Zbl 1212.35367) Full Text: arXiv
Maekawa, Yasunori; Terasawa, Yutaka The Navier-Stokes equations with initial data in uniformly local \(L^p\) spaces. (English) Zbl 1212.35350 Differ. Integral Equ. 19, No. 4, 369-400 (2006). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{Y. Maekawa} and \textit{Y. Terasawa}, Differ. Integral Equ. 19, No. 4, 369--400 (2006; Zbl 1212.35350)
Moise, Ioana Regularity of Navier-Stokes equations. (English) Zbl 1212.35351 Differ. Integral Equ. 19, No. 1, 31-50 (2006). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{I. Moise}, Differ. Integral Equ. 19, No. 1, 31--50 (2006; Zbl 1212.35351)
Gallagher, Isabelle Stability and weak-strong uniqueness for axisymmetric solutions of the Navier-Stokes equations. (English) Zbl 1161.76456 Differ. Integral Equ. 16, No. 5, 557-572 (2003). MSC: 76D05 35B35 35Q30 76E99 PDFBibTeX XMLCite \textit{I. Gallagher}, Differ. Integral Equ. 16, No. 5, 557--572 (2003; Zbl 1161.76456)
Bresch, D.; Guillén-González, F.; Masmoudi, N.; Rodríguez-Bellido, M. A. On the uniqueness of weak solutions of the two-dimensional primitive equations. (English) Zbl 1042.35042 Differ. Integral Equ. 16, No. 1, 77-94 (2003). Reviewer: A. Cichocka (Katowice) MSC: 35Q30 76D05 86A05 PDFBibTeX XMLCite \textit{D. Bresch} et al., Differ. Integral Equ. 16, No. 1, 77--94 (2003; Zbl 1042.35042)
Popa, Cătălin On the convergence of Euler-Stokes splitting of the Navier-Stokes equations. (English) Zbl 1048.35067 Differ. Integral Equ. 15, No. 6, 657-670 (2002). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76D03 76D05 PDFBibTeX XMLCite \textit{C. Popa}, Differ. Integral Equ. 15, No. 6, 657--670 (2002; Zbl 1048.35067)
Berselli, Luigi C. On a regularity criterion for the solutions to the 3D Navier-Stokes equations. (English) Zbl 1034.35087 Differ. Integral Equ. 15, No. 9, 1129-1137 (2002). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76D03 35B65 76D05 PDFBibTeX XMLCite \textit{L. C. Berselli}, Differ. Integral Equ. 15, No. 9, 1129--1137 (2002; Zbl 1034.35087)
Guillén-González, F.; Masmoudi, N.; Rodríguez-Bellido, M. A. Anisotropic estimates and strong solutions of the primitive equations. (English) Zbl 1161.76454 Differ. Integral Equ. 14, No. 11, 1381-1408 (2001). Reviewer: Mohammed B. Ziane (MR1859612) MSC: 76D03 76U05 35Q35 35B45 76D05 PDFBibTeX XMLCite \textit{F. Guillén-González} et al., Differ. Integral Equ. 14, No. 11, 1381--1408 (2001; Zbl 1161.76454)
Gerbeau, J.-F.; Le Bris, C. On the long time behaviour of the solution to the two-fluids incompressible Navier-Stokes equations. (English) Zbl 1022.35038 Differ. Integral Equ. 12, No. 5, 691-740 (1999). Reviewer: Marek Brandner (Plzeň) MSC: 35Q30 35B40 76D05 PDFBibTeX XMLCite \textit{J. F. Gerbeau} and \textit{C. Le Bris}, Differ. Integral Equ. 12, No. 5, 691--740 (1999; Zbl 1022.35038)
Beirão da Veiga, H. Concerning the regularity of the solutions to the Navier-Stokes equations via the truncation method; Part I. (English) Zbl 0940.35154 Differ. Integral Equ. 10, No. 6, 1149-1156 (1997). Reviewer: Ivan Straškraba (Praha) MSC: 35Q30 35D10 76D05 PDFBibTeX XMLCite \textit{H. Beirão da Veiga}, Differ. Integral Equ. 10, No. 6, 1149--1156 (1997; Zbl 0940.35154)
Desjardins, B. Global existence results for the incompressible density dependent Navier-Stokes equations in the whole space. (English) Zbl 0902.76027 Differ. Integral Equ. 10, No. 3, 587-598 (1997). MSC: 76D05 35Q30 PDFBibTeX XMLCite \textit{B. Desjardins}, Differ. Integral Equ. 10, No. 3, 587--598 (1997; Zbl 0902.76027)
Desjardins, B. Linear transport equations with initial values in Sobolev spaces and application to the Navier-Stokes equations. (English) Zbl 0902.76028 Differ. Integral Equ. 10, No. 3, 577-586 (1997). MSC: 76D05 35Q30 PDFBibTeX XMLCite \textit{B. Desjardins}, Differ. Integral Equ. 10, No. 3, 577--586 (1997; Zbl 0902.76028)
Bellout, Hamid; Bloom, Frederick; Nečas, Jindrich Existence, uniqueness, and stability of solutions to the initial boundary value problem for bipolar viscous fluids. (English) Zbl 0831.35135 Differ. Integral Equ. 8, No. 2, 453-464 (1995). Reviewer: K.Deckelnick (Freiburg i.Br.) MSC: 35Q35 76D05 35D05 35B30 PDFBibTeX XMLCite \textit{H. Bellout} et al., Differ. Integral Equ. 8, No. 2, 453--464 (1995; Zbl 0831.35135)
Kato, Tosio The Navier-Stokes equation for an incompressible fluid in \(\mathbb{R}^ 2\) with a measure as the initial vorticity. (English) Zbl 0826.35094 Differ. Integral Equ. 7, No. 3-4, 949-966 (1994). Reviewer: T.O.Shaposhnikova (Linköping) MSC: 35Q30 35G10 35K25 35K05 76D05 PDFBibTeX XMLCite \textit{T. Kato}, Differ. Integral Equ. 7, No. 3--4, 949--966 (1994; Zbl 0826.35094)
Galdi, Giovanni P.; Simader, Christian G. New estimates for the steady-state Stokes problem in exterior domains with applications to the Navier-Stokes problem. (English) Zbl 0823.35142 Differ. Integral Equ. 7, No. 3-4, 847-861 (1994). Reviewer: A.Cichocka (Katowice) MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{G. P. Galdi} and \textit{C. G. Simader}, Differ. Integral Equ. 7, No. 3--4, 847--861 (1994; Zbl 0823.35142)
Kagei, Yoshiyuki On weak solutions of nonstationary Boussinesq equations. (English) Zbl 0785.35078 Differ. Integral Equ. 6, No. 3, 587-611 (1993). Reviewer: H.Lange (Köln) MSC: 35Q35 35D05 35D10 76D05 PDFBibTeX XMLCite \textit{Y. Kagei}, Differ. Integral Equ. 6, No. 3, 587--611 (1993; Zbl 0785.35078)
Ilyin, Alexei A. On the dimension of attractors for Navier-Stokes equations on two- dimensional compact manifolds. (English) Zbl 0771.35045 Differ. Integral Equ. 6, No. 1, 183-214 (1993). Reviewer: K.Deckelnick (Freiburg i.Br.) MSC: 35Q30 76D05 58J35 PDFBibTeX XMLCite \textit{A. A. Ilyin}, Differ. Integral Equ. 6, No. 1, 183--214 (1993; Zbl 0771.35045)
Debussche, A.; Temam, R. Inertial manifolds and the slow manifolds in meteorology. (English) Zbl 0753.35043 Differ. Integral Equ. 4, No. 5, 897-931 (1991). Reviewer: G.Boillat (Aubiere) MSC: 35K60 76D05 86A10 47A55 35B40 PDFBibTeX XMLCite \textit{A. Debussche} and \textit{R. Temam}, Differ. Integral Equ. 4, No. 5, 897--931 (1991; Zbl 0753.35043)