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
Chae, Dongho; Wolf, Joerg Transport equation in generalized Campanato spaces. (English) Zbl 1527.35235 Rev. Mat. Iberoam. 39, No. 5, 1725-1770 (2023). MSC: 35Q31 35Q49 76B03 35A01 35A02 35D30 PDFBibTeX XMLCite \textit{D. Chae} and \textit{J. Wolf}, Rev. Mat. Iberoam. 39, No. 5, 1725--1770 (2023; Zbl 1527.35235) Full Text: DOI arXiv
Shi, Xueting; Yuan, Guangwei Well-posedness of nonlinear two-phase flow model with solute transport. (English) Zbl 1512.35488 J. Math. Anal. Appl. 525, No. 1, Article ID 127119, 39 p. (2023). MSC: 35Q35 76R50 76T06 76T10 76T20 76V05 35D30 35A01 35A02 60J76 47H10 PDFBibTeX XMLCite \textit{X. Shi} and \textit{G. Yuan}, J. Math. Anal. Appl. 525, No. 1, Article ID 127119, 39 p. (2023; Zbl 1512.35488) Full Text: DOI
Burczak, Jan; Ożański, Wojciech S.; Seregin, Gregory On regularity properties of a surface growth model. (English) Zbl 1479.35166 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 6, 1869-1892 (2021). MSC: 35B65 35K58 35K30 76D03 74K35 35Q35 35Q30 PDFBibTeX XMLCite \textit{J. Burczak} et al., Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 6, 1869--1892 (2021; Zbl 1479.35166) Full Text: DOI arXiv
Lemarié-Rieusset, Pierre Gilles Real variable methods in harmonic analysis and Navier-Stokes equations. (English) Zbl 1486.35327 Rassias, Michael Th. (ed.), Harmonic analysis and applications. Cham: Springer. Springer Optim. Appl. 168, 243-277 (2021). Reviewer: Gheorghe Moroşanu (Cluj-Napoca) MSC: 35Q30 35Q79 76D05 42B37 42B25 42B10 42B20 PDFBibTeX XMLCite \textit{P. G. Lemarié-Rieusset}, Springer Optim. Appl. 168, 243--277 (2021; Zbl 1486.35327) Full Text: DOI arXiv
Mácha, Václav; Schwarzacher, Sebastian Global continuity and BMO estimates for non-Newtonian fluids with perfect slip boundary conditions. (English) Zbl 1465.35091 Rev. Mat. Iberoam. 37, No. 3, 1115-1173 (2021). MSC: 35B65 35J60 35Q35 76D03 PDFBibTeX XMLCite \textit{V. Mácha} and \textit{S. Schwarzacher}, Rev. Mat. Iberoam. 37, No. 3, 1115--1173 (2021; Zbl 1465.35091) Full Text: DOI arXiv
Chae, Dongho; Wolf, Jörg The Euler equations in a critical case of the generalized Campanato space. (English) Zbl 1458.35308 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 2, 201-241 (2021). MSC: 35Q31 76B03 35B44 PDFBibTeX XMLCite \textit{D. Chae} and \textit{J. Wolf}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 2, 201--241 (2021; Zbl 1458.35308) Full Text: DOI arXiv
Dai, Yichen; Tan, Zhong Partial regularity for stationary Navier-Stokes systems by the method of \(\mathcal{A}\)-harmonic approximation. (English) Zbl 1499.35264 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 3, 835-854 (2020). MSC: 35J60 35Q30 76N10 PDFBibTeX XMLCite \textit{Y. Dai} and \textit{Z. Tan}, Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 3, 835--854 (2020; Zbl 1499.35264) Full Text: DOI
Korobkov, Mikhail V.; Pileckas, Konstantin; Russo, Remigio A simple proof of regularity of steady-state distributional solutions to the Navier-Stokes equations. (English) Zbl 1448.76053 J. Math. Fluid Mech. 22, No. 4, Paper No. 55, 8 p. (2020). MSC: 76D03 35Q30 PDFBibTeX XMLCite \textit{M. V. Korobkov} et al., J. Math. Fluid Mech. 22, No. 4, Paper No. 55, 8 p. (2020; Zbl 1448.76053) Full Text: DOI
Russo, Remigio; Tartaglione, Alfonsina The plane exterior boundary-value problem for nonhomogeneous fluids. (English) Zbl 1433.76043 J. Math. Fluid Mech. 22, No. 1, Paper No. 14, 11 p. (2020). MSC: 76D07 76D03 35Q30 35R05 PDFBibTeX XMLCite \textit{R. Russo} and \textit{A. Tartaglione}, J. Math. Fluid Mech. 22, No. 1, Paper No. 14, 11 p. (2020; Zbl 1433.76043) Full Text: DOI
He, Lianhua; Tan, Zhong Partial regularity of stationary Navier-Stokes systems under natural growth condition. (English) Zbl 1499.35471 Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 1, 94-110 (2019). MSC: 35Q30 35B65 42B37 76D05 PDFBibTeX XMLCite \textit{L. He} and \textit{Z. Tan}, Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 1, 94--110 (2019; Zbl 1499.35471) Full Text: DOI
Wang, Yuzhao; Xiao, Jie Well/ill-posedness for the dissipative Navier-Stokes system in generalized Carleson measure spaces. (English) Zbl 1421.35256 Adv. Nonlinear Anal. 8, 203-224 (2019). MSC: 35Q30 42B37 76D05 35R25 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{J. Xiao}, Adv. Nonlinear Anal. 8, 203--224 (2019; Zbl 1421.35256) Full Text: DOI
Huang, Tao; Zhao, Na On the regularity of weak small solution of a gradient flow of the Landau-de Gennes energy. (English) Zbl 1410.82035 Proc. Am. Math. Soc. 147, No. 4, 1687-1698 (2019). MSC: 82D30 76A15 35D30 35B65 PDFBibTeX XMLCite \textit{T. Huang} and \textit{N. Zhao}, Proc. Am. Math. Soc. 147, No. 4, 1687--1698 (2019; Zbl 1410.82035) Full Text: DOI
Tarfulea, Andrei Improved a priori bounds for thermal fluid equations. (English) Zbl 1445.76064 Trans. Am. Math. Soc. 371, No. 4, 2719-2737 (2019). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 76N10 76D03 35Q30 80A19 PDFBibTeX XMLCite \textit{A. Tarfulea}, Trans. Am. Math. Soc. 371, No. 4, 2719--2737 (2019; Zbl 1445.76064) Full Text: DOI arXiv
Maremonti, Paolo On the \(L^p\) Helmholtz decomposition: a review of a result due to Solonnikov. (English) Zbl 1411.46025 Lith. Math. J. 58, No. 3, 268-283 (2018). Reviewer: Denise Huet (Nancy) MSC: 46E30 76D07 35Q35 46N20 PDFBibTeX XMLCite \textit{P. Maremonti}, Lith. Math. J. 58, No. 3, 268--283 (2018; Zbl 1411.46025) Full Text: DOI
Miao, Qianyun; Xue, Liutang On the Hölder regularity of the weak solution to a drift-diffusion system with pressure. (English) Zbl 1401.76043 Calc. Var. Partial Differ. Equ. 57, No. 6, Paper No. 153, 33 p. (2018). MSC: 76D03 35Q35 35Q30 35K15 PDFBibTeX XMLCite \textit{Q. Miao} and \textit{L. Xue}, Calc. Var. Partial Differ. Equ. 57, No. 6, Paper No. 153, 33 p. (2018; Zbl 1401.76043) Full Text: DOI
Chamorro, Diego; Lemarié-Rieusset, Pierre-Gilles; Mayoufi, Kawther The role of the pressure in the partial regularity theory for weak solutions of the Navier-Stokes equations. (English) Zbl 1382.35185 Arch. Ration. Mech. Anal. 228, No. 1, 237-277 (2018). MSC: 35Q30 76D05 35D30 35B65 PDFBibTeX XMLCite \textit{D. Chamorro} et al., Arch. Ration. Mech. Anal. 228, No. 1, 237--277 (2018; Zbl 1382.35185) Full Text: DOI arXiv
Díaz, Jesus Ildefonso; Gómez-Castro, David; Rakotoson, Jean Michel; Temam, Roger Linear diffusion with singular absorption potential and/or unbounded convective flow: the weighted space approach. (English) Zbl 1374.35178 Discrete Contin. Dyn. Syst. 38, No. 2, 509-546 (2018). MSC: 35J75 35J15 35J25 35J67 35J10 76M23 PDFBibTeX XMLCite \textit{J. I. Díaz} et al., Discrete Contin. Dyn. Syst. 38, No. 2, 509--546 (2018; Zbl 1374.35178) Full Text: DOI arXiv
Tan, Zhong; Zhou, Jianfeng Partial regularity of a certain class of non-Newtonian fluids. (English) Zbl 1373.35253 J. Math. Anal. Appl. 455, No. 2, 1529-1558 (2017). MSC: 35Q35 76A05 35B65 35D30 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{J. Zhou}, J. Math. Anal. Appl. 455, No. 2, 1529--1558 (2017; Zbl 1373.35253) Full Text: DOI
Chae, Dongho; Wolf, Jörg On partial regularity for the steady Hall magnetohydrodynamics system. (English) Zbl 1328.35165 Commun. Math. Phys. 339, No. 3, 1147-1166 (2015). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 76W05 35B65 35D30 PDFBibTeX XMLCite \textit{D. Chae} and \textit{J. Wolf}, Commun. Math. Phys. 339, No. 3, 1147--1166 (2015; Zbl 1328.35165) Full Text: DOI arXiv
Friedlander, Susan; Suen, Anthony Hölder continuity of solutions to the kinematic dynamo equations. (English) Zbl 1323.35057 J. Math. Fluid Mech. 16, No. 4, 691-700 (2014). Reviewer: Alain Brillard (Riedisheim) MSC: 35K10 35B65 76W05 PDFBibTeX XMLCite \textit{S. Friedlander} and \textit{A. Suen}, J. Math. Fluid Mech. 16, No. 4, 691--700 (2014; Zbl 1323.35057) Full Text: DOI arXiv
Diening, L.; Kaplický, P. \(L^q\) theory for a generalized Stokes system. (English) Zbl 1263.35175 Manuscr. Math. 141, No. 1-2, 333-361 (2013). MSC: 35Q30 76D03 35B65 35D30 PDFBibTeX XMLCite \textit{L. Diening} and \textit{P. Kaplický}, Manuscr. Math. 141, No. 1--2, 333--361 (2013; Zbl 1263.35175) Full Text: DOI
Bögelein, Verena; Duzaar, Frank; Habermann, Jens; Scheven, Christoph Stationary electro-rheological fluids: low order regularity for systems with discontinuous coefficients. (English) Zbl 1238.35095 Adv. Calc. Var. 5, No. 1, 1-57 (2012). MSC: 35Q35 35B65 76A05 PDFBibTeX XMLCite \textit{V. Bögelein} et al., Adv. Calc. Var. 5, No. 1, 1--57 (2012; Zbl 1238.35095) Full Text: DOI
Owhadi, Houman; Zhang, Lei Numerical homogenization of the acoustic wave equations with a continuum of scales. (English) Zbl 1228.76122 Comput. Methods Appl. Mech. Eng. 198, No. 3-4, 397-406 (2008). MSC: 76M50 76Q05 PDFBibTeX XMLCite \textit{H. Owhadi} and \textit{L. Zhang}, Comput. Methods Appl. Mech. Eng. 198, No. 3--4, 397--406 (2008; Zbl 1228.76122) Full Text: DOI arXiv Link
Naumann, Joachim; Wolf, Jörg On the interior regularity of weak solutions to the non-stationary Stokes system. (English) Zbl 1137.35412 J. Glob. Optim. 40, No. 1-3, 277-288 (2008). MSC: 35Q30 35D10 76D03 76D05 PDFBibTeX XMLCite \textit{J. Naumann} and \textit{J. Wolf}, J. Glob. Optim. 40, No. 1--3, 277--288 (2008; Zbl 1137.35412) Full Text: DOI
Acerbi, E.; Mingione, G.; Seregin, G. A. Regularity results for parabolic systems related to a class of non-Newtonian fluids. (English) Zbl 1052.76004 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 1, 25-60 (2004). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 76A05 76W05 35Q35 35K50 35B65 76D03 PDFBibTeX XMLCite \textit{E. Acerbi} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 1, 25--60 (2004; Zbl 1052.76004) Full Text: DOI Numdam Numdam EuDML
Dalík, Josef; Daněček, Josef; Vala, Jiří Numerical solution of the Kiessl model. (English) Zbl 1058.65105 Appl. Math., Praha 45, No. 1, 3-17 (2000). MSC: 65M60 74F10 76S05 PDFBibTeX XMLCite \textit{J. Dalík} et al., Appl. Math., Praha 45, No. 1, 3--17 (2000; Zbl 1058.65105) Full Text: DOI EuDML
Frehse, Jens; Málek, Josef; Steinhauer, Mark An existence result for fluids with shear dependent viscosity – steady flows. (English) Zbl 0902.35089 Nonlinear Anal., Theory Methods Appl. 30, No. 5, 3041-3049 (1997). Reviewer: K.Deckelnick (Freiburg i.Br.) MSC: 35Q35 76A05 35D05 PDFBibTeX XMLCite \textit{J. Frehse} et al., Nonlinear Anal., Theory Methods Appl. 30, No. 5, 3041--3049 (1997; Zbl 0902.35089) Full Text: DOI
Su, Ning An elliptic-parabolic system arising from the fluid-solute-heat flow through saturated porous media. (English) Zbl 0722.35069 Acta Math. Appl. Sin., Engl. Ser. 6, No. 3, 224-237 (1990). Reviewer: C.Popa (Iaşi) MSC: 35Q35 35M20 76S05 35B40 35Dxx PDFBibTeX XMLCite \textit{N. Su}, Acta Math. Appl. Sin., Engl. Ser. 6, No. 3, 224--237 (1990; Zbl 0722.35069) Full Text: DOI
Su, Ning Mathematical problems on the fluid-solute-heat flow through porous media. I: Unsaturated case. (English) Zbl 0714.35068 Acta Math. Appl. Sin., Engl. Ser. 6, No. 2, 135-144 (1990). Reviewer: G.Pasa MSC: 35Q35 35K65 76S05 PDFBibTeX XMLCite \textit{N. Su}, Acta Math. Appl. Sin., Engl. Ser. 6, No. 2, 135--144 (1990; Zbl 0714.35068) Full Text: DOI
Giga, Yoshikazu; Miyakawa, Tetsuro Navier-Stokes flow in \(R^ 3\) with measures as initial vorticity and Morrey spaces. (English) Zbl 0681.35072 Commun. Partial Differ. Equations 14, No. 5, 577-618 (1989). Reviewer: G.Warnecke MSC: 35Q30 35J25 76D05 PDFBibTeX XMLCite \textit{Y. Giga} and \textit{T. Miyakawa}, Commun. Partial Differ. Equations 14, No. 5, 577--618 (1989; Zbl 0681.35072) Full Text: DOI
Naumann, Joachim On the differentiability of weak solutions of a degenerate system of PDE’s in fluid mechanics. (English) Zbl 0664.35033 Ann. Mat. Pura Appl., IV. Ser. 151, 225-238 (1988). Reviewer: P.A.Bois MSC: 35J70 76A05 35D10 35B65 PDFBibTeX XMLCite \textit{J. Naumann}, Ann. Mat. Pura Appl. (4) 151, 225--238 (1988; Zbl 0664.35033) Full Text: DOI
DiBenedetto, Emmanuele; Elliott, Charles M.; Friedman, Avner The free boundary of a flow in a porous body heated from its boundary. (English) Zbl 0621.76101 Nonlinear Anal., Theory Methods Appl. 10, 879-900 (1986). Reviewer: K.K.Srivastava MSC: 76S05 76R05 80A20 PDFBibTeX XMLCite \textit{E. DiBenedetto} et al., Nonlinear Anal., Theory Methods Appl. 10, 879--900 (1986; Zbl 0621.76101) Full Text: DOI
Großmann, U. Existence and uniqueness of solutions of quasilinear transmission problems of both elliptic and pseudoparabolic type simulating oxygen transport in capillary and tissue. (English) Zbl 0429.35030 Math. Methods Appl. Sci. 2, 34-47 (1980). MSC: 35J25 35K15 35K20 76R05 35B25 PDFBibTeX XMLCite \textit{U. Großmann}, Math. Methods Appl. Sci. 2, 34--47 (1980; Zbl 0429.35030) Full Text: DOI
Batra, R. C. Decay of the kinetic and the thermal energy of compressible micropolar fluids. (English) Zbl 0386.76009 Acta Mech. 29, 47-53 (1978). MSC: 76A99 76A10 80A10 PDFBibTeX XMLCite \textit{R. C. Batra}, Acta Mech. 29, 47--53 (1978; Zbl 0386.76009) Full Text: DOI
Batra, R. C. On the asymptotic stability of the rest state of a viscous fluid bounded by a rigid wall and an elastic membrane. (English) Zbl 0297.76030 Arch. Ration. Mech. Anal. 56, 310-319 (1974). MSC: 76D99 74G99 74H99 PDFBibTeX XMLCite \textit{R. C. Batra}, Arch. Ration. Mech. Anal. 56, 310--319 (1974; Zbl 0297.76030) Full Text: DOI