Luo, Zhendong; Yang, Jing The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows. (English) Zbl 07518115 J. Comput. Phys. 456, Article ID 111044, 22 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDF BibTeX XML Cite \textit{Z. Luo} and \textit{J. Yang}, J. Comput. Phys. 456, Article ID 111044, 22 p. (2022; Zbl 07518115) Full Text: DOI OpenURL
Daveau, Christian; Bornhofen, Stefan; Khelifi, Abdessatar; Naisseline, Brice Identification of deformable droplets from boundary measurements: the case of non-stationary Stokes problem. (English) Zbl 07484765 Inverse Probl. Sci. Eng. 29, No. 13, 3451-3474 (2021). MSC: 35R30 35Q30 35B30 76D55 PDF BibTeX XML Cite \textit{C. Daveau} et al., Inverse Probl. Sci. Eng. 29, No. 13, 3451--3474 (2021; Zbl 07484765) Full Text: DOI OpenURL
Luo, Zhendong; Jiang, Wenrui The Crank-Nicolson finite spectral element method and numerical simulations for 2D non-stationary Navier-Stokes equations. (English) Zbl 1452.65278 Math. Methods Appl. Sci. 43, No. 5, 2276-2288 (2020). MSC: 65M70 65M60 65M06 65N35 65N12 76D05 35Q30 76M22 76M10 PDF BibTeX XML Cite \textit{Z. Luo} and \textit{W. Jiang}, Math. Methods Appl. Sci. 43, No. 5, 2276--2288 (2020; Zbl 1452.65278) Full Text: DOI OpenURL
Abdelwahed, M.; Chorfi, N.; Malek, R. Reconstruction of Tesla micro-valve using topological sensitivity analysis. (English) Zbl 1416.76032 Adv. Nonlinear Anal. 9, 567-590 (2020). MSC: 76D05 35Q30 76D55 49Q10 49Q12 PDF BibTeX XML Cite \textit{M. Abdelwahed} et al., Adv. Nonlinear Anal. 9, 567--590 (2020; Zbl 1416.76032) Full Text: DOI OpenURL
Eismontaite, Alicija; Pileckas, Konstantin On singular solutions of the initial boundary value problem for the Stokes system in a power cusp domain. (English) Zbl 1428.35284 Appl. Anal. 98, No. 13, 2400-2422 (2019). MSC: 35Q30 35A20 76D07 76D10 76M45 76D03 35C20 PDF BibTeX XML Cite \textit{A. Eismontaite} and \textit{K. Pileckas}, Appl. Anal. 98, No. 13, 2400--2422 (2019; Zbl 1428.35284) Full Text: DOI OpenURL
Luo, Zhendong; Teng, Fei; Xia, Hong A reduced-order extrapolated Crank-Nicolson finite spectral element method based on POD for the 2D non-stationary Boussinesq equations. (English) Zbl 1407.65218 J. Math. Anal. Appl. 471, No. 1-2, 564-583 (2019). MSC: 65M70 65M06 65M12 35A01 35Q35 76D05 PDF BibTeX XML Cite \textit{Z. Luo} et al., J. Math. Anal. Appl. 471, No. 1--2, 564--583 (2019; Zbl 1407.65218) Full Text: DOI OpenURL
Ershkov, Sergey V. Non-stationary creeping flows for incompressible 3D Navier-Stokes equations. (English) Zbl 1408.76134 Eur. J. Mech., B, Fluids 61, Part 1, 154-159 (2017). MSC: 76D05 35Q30 PDF BibTeX XML Cite \textit{S. V. Ershkov}, Eur. J. Mech., B, Fluids 61, Part 1, 154--159 (2017; Zbl 1408.76134) Full Text: DOI OpenURL
Ershkov, Sergey V. Non-stationary Riccati-type flows for incompressible 3D Navier-Stokes equations. (English) Zbl 1443.76121 Comput. Math. Appl. 71, No. 7, 1392-1404 (2016). MSC: 76D05 35Q30 PDF BibTeX XML Cite \textit{S. V. Ershkov}, Comput. Math. Appl. 71, No. 7, 1392--1404 (2016; Zbl 1443.76121) Full Text: DOI OpenURL
Ershkov, Sergey V. Non-stationary helical flows for incompressible 3D Navier-Stokes equations. (English) Zbl 1410.76039 Appl. Math. Comput. 274, 611-614 (2016). MSC: 76D05 PDF BibTeX XML Cite \textit{S. V. Ershkov}, Appl. Math. Comput. 274, 611--614 (2016; Zbl 1410.76039) Full Text: DOI OpenURL
Luo, Zhendong A stabilized mixed finite element formulation for the non-stationary incompressible Boussinesq equations. (English) Zbl 1363.76042 Acta Math. Sci., Ser. B, Engl. Ed. 36, No. 2, 385-393 (2016). MSC: 76M10 76M50 76D05 65M60 65M12 PDF BibTeX XML Cite \textit{Z. Luo}, Acta Math. Sci., Ser. B, Engl. Ed. 36, No. 2, 385--393 (2016; Zbl 1363.76042) Full Text: DOI OpenURL
Ershkov, Sergey V. A procedure for the construction of non-stationary Riccati-type flows for incompressible 3D Navier-Stokes equations. (English) Zbl 1338.35329 Rend. Circ. Mat. Palermo (2) 65, No. 1, 73-85 (2016). MSC: 35Q30 76D03 76D05 76D17 PDF BibTeX XML Cite \textit{S. V. Ershkov}, Rend. Circ. Mat. Palermo (2) 65, No. 1, 73--85 (2016; Zbl 1338.35329) Full Text: DOI arXiv OpenURL
Luo, Zhendong A stabilized Crank-Nicolson mixed finite volume element formulation for the non-stationary parabolized Navier-Stokes equations. (English) Zbl 1363.76041 Acta Math. Sci., Ser. B, Engl. Ed. 35, No. 5, 1055-1066 (2015). MSC: 76M10 76D05 65N08 65N30 65N15 PDF BibTeX XML Cite \textit{Z. Luo}, Acta Math. Sci., Ser. B, Engl. Ed. 35, No. 5, 1055--1066 (2015; Zbl 1363.76041) Full Text: DOI OpenURL
Luo, Zhendong; Teng, Fei A fully discrete SCNFVE formulation for the non-stationary Navier-Stokes equations. (English) Zbl 1356.76190 CMES, Comput. Model. Eng. Sci. 101, No. 1, 33-58 (2014). MSC: 76M12 65M08 65M12 65M15 76D05 PDF BibTeX XML Cite \textit{Z. Luo} and \textit{F. Teng}, CMES, Comput. Model. Eng. Sci. 101, No. 1, 33--58 (2014; Zbl 1356.76190) Full Text: DOI OpenURL
Tsai, Tai-Peng Forward discretely self-similar solutions of the Navier-Stokes equations. (English) Zbl 1293.35218 Commun. Math. Phys. 328, No. 1, 29-44 (2014). MSC: 35Q30 76D05 76D07 35B45 35C06 PDF BibTeX XML Cite \textit{T.-P. Tsai}, Commun. Math. Phys. 328, No. 1, 29--44 (2014; Zbl 1293.35218) Full Text: DOI arXiv OpenURL
Baskharone, Erian A. The finite element method with heat transfer and fluid mechanics applications. (English) Zbl 1295.76001 Cambridge: Cambridge University Press (ISBN 978-1-107-03981-0/hbk; 978-1-107-45456-9/ebook). xviii, 373 p. (2014). Reviewer: Gisbert Stoyan (Budapest) MSC: 76-01 76M10 76D05 80M10 80A20 PDF BibTeX XML Cite \textit{E. A. Baskharone}, The finite element method with heat transfer and fluid mechanics applications. Cambridge: Cambridge University Press (2014; Zbl 1295.76001) OpenURL
Luo, Zhendong; Li, Hong; Sun, Ping; Gao, Junqiang A reduced-order finite difference extrapolation algorithm based on POD technique for the non-stationary Navier-Stokes equations. (English) Zbl 1426.76478 Appl. Math. Modelling 37, No. 7, 5464-5473 (2013). MSC: 76M20 65M06 65M15 35Q30 76D05 PDF BibTeX XML Cite \textit{Z. Luo} et al., Appl. Math. Modelling 37, No. 7, 5464--5473 (2013; Zbl 1426.76478) Full Text: DOI OpenURL
Klovienė, N.; Pileckas, K. The second grade fluid flow problem in an infinite pipe. (English) Zbl 1273.35213 Asymptotic Anal. 83, No. 3, 237-262 (2013). MSC: 35Q30 76D03 76D05 PDF BibTeX XML Cite \textit{N. Klovienė} and \textit{K. Pileckas}, Asymptotic Anal. 83, No. 3, 237--262 (2013; Zbl 1273.35213) Full Text: DOI OpenURL
Felcman, J.; Kadrnka, L. Adaptive finite volume approximation of the shallow water equations. (English) Zbl 1309.76059 Appl. Math. Comput. 219, No. 7, 3354-3366 (2012). MSC: 76D05 76M12 PDF BibTeX XML Cite \textit{J. Felcman} and \textit{L. Kadrnka}, Appl. Math. Comput. 219, No. 7, 3354--3366 (2012; Zbl 1309.76059) Full Text: DOI OpenURL
Farwig, Reinhard; Sohr, Hermann; Varnhorn, Werner Extensions of Serrin’s uniqueness and regularity conditions for the Navier-Stokes equations. (English) Zbl 1254.76053 J. Math. Fluid Mech. 14, No. 3, 529-540 (2012). MSC: 76D05 35Q30 PDF BibTeX XML Cite \textit{R. Farwig} et al., J. Math. Fluid Mech. 14, No. 3, 529--540 (2012; Zbl 1254.76053) Full Text: DOI OpenURL
Si, Zhiyong; He, Yinnian; Zhang, Tong A defect-correction method for unsteady conduction-convection problems. II: Time discretization. (English) Zbl 1427.76146 J. Comput. Appl. Math. 236, No. 9, 2553-2573 (2012). MSC: 76M10 76D05 65M60 65M12 65M15 PDF BibTeX XML Cite \textit{Z. Si} et al., J. Comput. Appl. Math. 236, No. 9, 2553--2573 (2012; Zbl 1427.76146) Full Text: DOI OpenURL
Luo, Zhendong; Du, Juan; Xie, Zhenghui; Guo, Yan A reduced stabilized mixed finite element formulation based on proper orthogonal decomposition for the non-stationary Navier-Stokes equations. (English) Zbl 1242.76129 Int. J. Numer. Methods Eng. 88, No. 1, 31-46 (2011). MSC: 76M10 76D05 65M12 65M60 PDF BibTeX XML Cite \textit{Z. Luo} et al., Int. J. Numer. Methods Eng. 88, No. 1, 31--46 (2011; Zbl 1242.76129) Full Text: DOI OpenURL
An, Jing; Sun, Ping; Luo, Zhendong; Huang, Xiaoming A stabilized fully discrete finite volume element formulation for the non-stationary Stokes equation. (Chinese. English summary) Zbl 1240.76002 Math. Numer. Sin. 33, No. 2, 213-224 (2011). MSC: 76D05 76M12 65N30 65N22 65M60 65M22 PDF BibTeX XML Cite \textit{J. An} et al., Math. Numer. Sin. 33, No. 2, 213--224 (2011; Zbl 1240.76002) OpenURL
Abels, Helmut; Terasawa, Yutaka Non-homogeneous Navier-Stokes systems with order-parameter-dependent stresses. (English) Zbl 1303.76008 Math. Methods Appl. Sci. 33, No. 13, 1532-1544 (2010). MSC: 76D05 35Q30 35Q35 76D03 76T25 PDF BibTeX XML Cite \textit{H. Abels} and \textit{Y. Terasawa}, Math. Methods Appl. Sci. 33, No. 13, 1532--1544 (2010; Zbl 1303.76008) Full Text: DOI OpenURL
Çeşmelioğlu, Ayçıl; Rivière, Béatrice Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow. (English) Zbl 1203.76078 J. Sci. Comput. 40, No. 1-3, 115-140 (2009). MSC: 76M10 76D05 65M60 PDF BibTeX XML Cite \textit{A. Çeşmelioğlu} and \textit{B. Rivière}, J. Sci. Comput. 40, No. 1--3, 115--140 (2009; Zbl 1203.76078) Full Text: DOI OpenURL
Wang, Axia; Ma, Yichen; Fu, Ying Proper orthogonal decomposition for the non-stationary Navier-Stokes equations based on two-grid method. (Chinese. English summary) Zbl 1212.65499 Basic Sci. J. Text. Univ. 22, No. 1, 76-81 (2009). MSC: 65N55 76M10 76D05 PDF BibTeX XML Cite \textit{A. Wang} et al., Basic Sci. J. Text. Univ. 22, No. 1, 76--81 (2009; Zbl 1212.65499) OpenURL
Hlomuka, Joe Existence and uniqueness for the ’weak’ solution to the non-stationary, nonlinear permeable boundary Navier-Stokes flows, using trace-like operators. (English) Zbl 1281.76025 Far East J. Appl. Math. 37, No. 3, 261-281 (2009). MSC: 76D03 35Q30 47N20 76D05 PDF BibTeX XML Cite \textit{J. Hlomuka}, Far East J. Appl. Math. 37, No. 3, 261--281 (2009; Zbl 1281.76025) Full Text: Link OpenURL
Ivanov, M. Ja. Simulation of a turbulent motion generation in an edge wake. (Russian. English summary) Zbl 1177.76134 Mat. Model. 21, No. 2, 36-46 (2009). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76F06 76D05 PDF BibTeX XML Cite \textit{M. Ja. Ivanov}, Mat. Model. 21, No. 2, 36--46 (2009; Zbl 1177.76134) Full Text: MNR OpenURL
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 PDF BibTeX XML Cite \textit{J. Naumann} and \textit{J. Wolf}, J. Glob. Optim. 40, No. 1--3, 277--288 (2008; Zbl 1137.35412) Full Text: DOI OpenURL
Chen, Yumei; Luo, Yan; Feng, Minfu A stabilized characteristic finite-element methods for the non-stationary Navier-Stokes equation. (Chinese. English summary) Zbl 1150.76436 Numer. Math., Nanjing 29, No. 4, 350-357 (2007). MSC: 76M10 76D05 65M60 65N30 PDF BibTeX XML Cite \textit{Y. Chen} et al., Numer. Math., Nanjing 29, No. 4, 350--357 (2007; Zbl 1150.76436) OpenURL
Danchin, R. Density-dependent incompressible fluids in bounded domains. (English) Zbl 1142.76354 J. Math. Fluid Mech. 8, No. 3, 333-381 (2006). MSC: 76D03 35Q30 76D05 PDF BibTeX XML Cite \textit{R. Danchin}, J. Math. Fluid Mech. 8, No. 3, 333--381 (2006; Zbl 1142.76354) Full Text: DOI OpenURL
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rojas-Medar, M. A. Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions. (English) Zbl 1062.35064 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 6, 807-826 (2004). MSC: 35Q30 76D03 35D05 35A05 35B65 PDF BibTeX XML Cite \textit{F. Guillén-González} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 6, 807--826 (2004; Zbl 1062.35064) Full Text: DOI Numdam OpenURL
Hlomuka, Joe The linearized non-stationary problem for the permeable boundary Navier-Stokes flows. (English) Zbl 1098.35118 Appl. Math. Comput. 158, No. 3, 717-727 (2004). MSC: 35Q30 76D03 76D05 PDF BibTeX XML Cite \textit{J. Hlomuka}, Appl. Math. Comput. 158, No. 3, 717--727 (2004; Zbl 1098.35118) Full Text: DOI OpenURL
Boldrini, José Luiz; Dias Vaz, Cristina Lúcia Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions. (English) Zbl 1034.76057 Electron. J. Differ. Equ. 2003, Paper No. 109, 25 p. (2003). MSC: 76T99 80A22 76R10 76D03 35Q30 35R35 PDF BibTeX XML Cite \textit{J. L. Boldrini} and \textit{C. L. Dias Vaz}, Electron. J. Differ. Equ. 2003, Paper No. 109, 25 p. (2003; Zbl 1034.76057) Full Text: EuDML EMIS OpenURL
Fröhlich, Andreas Maximal regularity for the non-stationary Stokes system in an aperture domain. (English) Zbl 1040.35059 J. Evol. Equ. 2, No. 4, 471-493 (2002). Reviewer: Il’ya Sh. Mogilevskij (Tver) MSC: 35Q30 76D03 35D05 47D06 PDF BibTeX XML Cite \textit{A. Fröhlich}, J. Evol. Equ. 2, No. 4, 471--493 (2002; Zbl 1040.35059) Full Text: DOI OpenURL
Constantin, Peter An Eulerian-Lagrangian approach to the Navier-Stokes equations. (English) Zbl 0988.76020 Commun. Math. Phys. 216, No. 3, 663-686 (2001). Reviewer: Etienne Emmrich (Berlin) MSC: 76D03 76D05 35Q30 PDF BibTeX XML Cite \textit{P. Constantin}, Commun. Math. Phys. 216, No. 3, 663--686 (2001; Zbl 0988.76020) Full Text: DOI arXiv OpenURL
Liu, C. H.; Leung, D. Y. C. Development of a finite element solution for the unsteady Navier-Stokes equations using projection method and fractional-\(\theta\)-scheme. (English) Zbl 1015.76041 Comput. Methods Appl. Mech. Eng. 190, No. 32-33, 4301-4317 (2001). MSC: 76M10 76D05 PDF BibTeX XML Cite \textit{C. H. Liu} and \textit{D. Y. C. Leung}, Comput. Methods Appl. Mech. Eng. 190, No. 32--33, 4301--4317 (2001; Zbl 1015.76041) Full Text: DOI OpenURL
Fujita, Hiroshi Non-stationary Stokes flows under leak boundary conditions of friction type. (English) Zbl 0993.76014 J. Comput. Math. 19, No. 1, 1-8 (2001). Reviewer: Milan Pokorný (Praha) MSC: 76D07 76D03 35Q30 PDF BibTeX XML Cite \textit{H. Fujita}, J. Comput. Math. 19, No. 1, 1--8 (2001; Zbl 0993.76014) OpenURL
Secchi, Paolo On the incompressible limit of inviscid compressible fluids. (English) Zbl 1006.76081 Ann. Univ. Ferrara, Nuova Ser., Sez. VII 46, 21-33 (2000). Reviewer: Vladimir Shelukhin (Novosibirsk) MSC: 76N10 76B03 35Q30 PDF BibTeX XML Cite \textit{P. Secchi}, Ann. Univ. Ferrara, Nuova Ser., Sez. VII 46, 21--33 (2000; Zbl 1006.76081) OpenURL
Hinze, M.; Kunisch, K. Newton’s method for tracking type control of the instationary Navier-Stokes equations. (English) Zbl 1011.76019 Neittaanmäki, Pekka (ed.) et al., ENUMATH 99. Numerical mathematics and advanced applications. Proceedings of the 3rd European conference, Jyväskylä, Finland, July 26-30, 1999. Singapore: World Scientific. 534-541 (2000). MSC: 76D55 76D05 76M30 PDF BibTeX XML Cite \textit{M. Hinze} and \textit{K. Kunisch}, in: ENUMATH 99. Numerical mathematics and advanced applications. Proceedings of the 3rd European conference, Jyväskylä, Finland, July 26--30, 1999. Singapore: World Scientific. 534--541 (2000; Zbl 1011.76019) OpenURL
Mucha, Piotr Bogusław; Zajączkowski, Wojciech On the existence for the Cauchy-Neumann problem for the Stokes system in the \(L_p\)-framework. (English) Zbl 0970.35107 Stud. Math. 143, No. 1, 75-101 (2000). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76D03 76D07 PDF BibTeX XML Cite \textit{P. B. Mucha} and \textit{W. Zajączkowski}, Stud. Math. 143, No. 1, 75--101 (2000; Zbl 0970.35107) Full Text: DOI EuDML OpenURL
Beirão da Veiga, Hugo A sufficient condition on the pressure for the regularity of weak solutions to the Navier-Stokes equations. (English) Zbl 0970.35105 J. Math. Fluid Mech. 2, No. 2, 99-106 (2000). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76D03 76D05 PDF BibTeX XML Cite \textit{H. Beirão da Veiga}, J. Math. Fluid Mech. 2, No. 2, 99--106 (2000; Zbl 0970.35105) Full Text: DOI OpenURL
Cannone, Marco; Planchon, Fabrice On the non-stationary Navier-Stokes equations with an external force. (English) Zbl 0952.35089 Adv. Differ. Equ. 4, No. 5, 697-730 (1999). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35Q30 76D03 76D05 PDF BibTeX XML Cite \textit{M. Cannone} and \textit{F. Planchon}, Adv. Differ. Equ. 4, No. 5, 697--730 (1999; Zbl 0952.35089) OpenURL
Heywood, John G.; Nagata, Wayne; Xie, Wenzheng A numerically based existence theorem for the Navier-Stokes equations. (English) Zbl 0934.35115 J. Math. Fluid Mech. 1, No. 1, 5-23 (1999). Reviewer: I.N.Molchanov (Kiev) MSC: 35Q30 76D03 76M22 PDF BibTeX XML Cite \textit{J. G. Heywood} et al., J. Math. Fluid Mech. 1, No. 1, 5--23 (1999; Zbl 0934.35115) Full Text: DOI OpenURL
Oswald, Hubertus Parallel solution of the instationary incompressible Navier-Stokes equations. (Parallele Lösung der instationären inkompressiblen Navier-Stokes Gleichungen.) (German) Zbl 1027.76001 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät, 108 S. (1998). Reviewer: Etienne Emmrich (Berlin) MSC: 76-02 76M10 76D05 65Y05 PDF BibTeX XML Cite \textit{H. Oswald}, Parallele Lösung der instationären inkompressiblen Navier-Stokes Gleichungen. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Ge\-samt\-fa\-kul\-tät (1998; Zbl 1027.76001) OpenURL
Beirão da Veiga, H. On the regular solutions of the evolution Navier-Stokes equations. (English) Zbl 0970.35104 Magalhães, L. (ed.) et al., International conference on differential equations. Papers from the conference, EQUADIFF 95, Lisboa, Portugal, July 24-29, 1995. Singapore: World Scientific. 18-23 (1998). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76D03 76D05 PDF BibTeX XML Cite \textit{H. Beirão da Veiga}, in: International conference on differential equations. Papers from the conference, EQUADIFF 95, Lisboa, Portugal, July 24--29, 1995. Singapore: World Scientific. 18--23 (1998; Zbl 0970.35104) OpenURL
Luo, Zhendong; Wang, Lieheng Nonlinear Galerkin mixed element methods for the non stationary conduction-convection problems. II: The backward one-step Euler fully discrete format. (English. Chinese original) Zbl 0959.76044 Chin. J. Numer. Math. Appl. 21, No. 1, 86-105 (1999); translation from Math. Numer. Sin. 20, No. 4, 431-448 (1998). MSC: 76M10 76R99 76D05 80A20 PDF BibTeX XML Cite \textit{Z. Luo} and \textit{L. Wang}, Chin. J. Numer. Math. Appl. 21, No. 1, 131--448 (1998; Zbl 0959.76044); translation from Math. Numer. Sin. 20, No. 4, 431--448 (1998) OpenURL
Ying, Lungan Convergence of pressure for viscosity splitting schemes. (English) Zbl 0897.76068 Acta Sci. Nat. Univ. Pekin. 33, No. 5, 545-553 (1997). MSC: 76M20 76D05 PDF BibTeX XML Cite \textit{L. Ying}, Acta Sci. Nat. Univ. Pekin. 33, No. 5, 545--553 (1997; Zbl 0897.76068) OpenURL
Savchin, V. M. The construction of a semibounded functional for a boundary value problem for the nonlinear unsteady Navier-Stokes equations. (English. Russian original) Zbl 0833.35109 Differ. Equations 30, No. 1, 149-155 (1994); translation from Differ. Uravn. 30, No. 1, 162-168 (1994). Reviewer: V.Chernyatin (Szczecin) MSC: 35Q30 76D05 PDF BibTeX XML Cite \textit{V. M. Savchin}, Differ. Equations 30, No. 1, 1 (1994; Zbl 0833.35109); translation from Differ. Uravn. 30, No. 1, 162--168 (1994) OpenURL
Farwig, Reinhard; Sohr, Hermann The stationary and non-stationary Stokes system in exterior domains with non-zero divergence and non-zero boundary values. (English) Zbl 0798.35125 Math. Methods Appl. Sci. 17, No. 4, 269-291 (1994). Reviewer: T.O.Shaposhnikova (Linköping) MSC: 35Q30 76D05 76D07 PDF BibTeX XML Cite \textit{R. Farwig} and \textit{H. Sohr}, Math. Methods Appl. Sci. 17, No. 4, 269--291 (1994; Zbl 0798.35125) Full Text: DOI OpenURL
Vasin, I. A.; Prilepko, A. I. The solvability of the three-dimensional inverse problem for the non- linear Navier-Stokes equations. (English. Russian original) Zbl 0794.76026 U.S.S.R. Comput. Math. Math. Phys. 30, No. 5, 189-199 (1990); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 10, 1540-1552 (1990). MSC: 76D05 35Q30 35R30 PDF BibTeX XML Cite \textit{I. A. Vasin} and \textit{A. I. Prilepko}, U.S.S.R. Comput. Math. Math. Phys. 30, No. 5, 189--199 (1990; Zbl 0794.76026); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 10, 1540--1552 (1990) Full Text: DOI OpenURL
Alinhac, S. Un phénomène de concentration évanescente pour des flots non- stationnaires incompressibles en dimension deux. (A concentration- concellation phenomenon for nonstationary incompressible flows in two dimensions). (French) Zbl 0695.76018 Commun. Math. Phys. 127, No. 3, 585-596 (1990). MSC: 76D05 35Q30 PDF BibTeX XML Cite \textit{S. Alinhac}, Commun. Math. Phys. 127, No. 3, 585--596 (1990; Zbl 0695.76018) Full Text: DOI OpenURL
Ying, Lungan On the viscosity splitting method for initial boundary value problems of the Navier-Stokes equations. (English) Zbl 0681.76033 Chin. Ann. Math., Ser. B 10, No. 4, 487-512 (1989). MSC: 76D05 35Q30 PDF BibTeX XML Cite \textit{L. Ying}, Chin. Ann. Math., Ser. B 10, No. 4, 487--512 (1989; Zbl 0681.76033) OpenURL
Bui An Ton On non-stationary Navier-Stokes flows with vanishing viscosity associated with a variational inequality. (English) Zbl 0703.35145 Math. Methods Appl. Sci. 10, No. 4, 351-366 (1988). Reviewer: Y.R.Romanovsky MSC: 35Q30 35B25 35K85 76D05 PDF BibTeX XML Cite \textit{Bui An Ton}, Math. Methods Appl. Sci. 10, No. 4, 351--366 (1988; Zbl 0703.35145) Full Text: DOI OpenURL
Prijmak, V. G.; Rozhdestvenskij, B. L.; Simakin, I. N. Description of turbulent flows by non-stationary solutions of Navier- Stokes equations. (Russian) Zbl 0696.76039 Current problems of applied mathematics and mathematical physics, Collect. Sci. Works, Moscow, 182-200 (1988). MSC: 76D05 76F99 PDF BibTeX XML OpenURL
Ying, Lungan Viscosity splitting method for three dimensional Navier-Stokes equations. (English) Zbl 0673.35085 Acta Math. Sin., New Ser. 4, No. 3, 210-226 (1988). MSC: 35Q30 76D05 35B35 35B65 PDF BibTeX XML Cite \textit{L. Ying}, Acta Math. Sin., New Ser. 4, No. 3, 210--226 (1988; Zbl 0673.35085) Full Text: DOI OpenURL
Belyaev, N. M.; Kashirnikov, V. V. Non-stationary solutions of the Navier-Stokes equation of the layered flow. (Russian) Zbl 0684.76021 Differential equations and their applications in physics, Collect. Sci. Works, 91-93 (1987). Reviewer: V.Kamen MSC: 76D05 PDF BibTeX XML OpenURL
Bykadorova, O. V. The numerical solution of the flowing problem with constant pressure gradient. (Russian) Zbl 0605.76038 Dinamika Zhidkosti so Svobodnymi Granitsami, Din. Sploshnoj Sredy 69, 19-35 (1985). MSC: 76D05 PDF BibTeX XML Cite \textit{O. V. Bykadorova}, Din. Splosh. Sredy 69, 19--35 (1985; Zbl 0605.76038) OpenURL
Secchi, Paolo Non-stationary flow of an incompressible viscous or ideal fluid in a halfspace. (Italian. English summary) Zbl 0598.76032 Ric. Mat. 34, 27-44 (1985). MSC: 76D05 35Q30 PDF BibTeX XML Cite \textit{P. Secchi}, Ric. Mat. 34, 27--44 (1985; Zbl 0598.76032) OpenURL
Rozhdestvenskij, B. L.; Simakin, I. N. Modelling turbulent flows in a plane channel. (English. Russian original) Zbl 0586.76103 U.S.S.R. Comput. Math. Math. Phys. 25, No. 1, 63-78 (1985); translation from Zh. Vychisl. Mat. Mat. Fiz. 25, No. 1, 96-121 (1985). MSC: 76F99 76M99 76D05 PDF BibTeX XML Cite \textit{B. L. Rozhdestvenskij} and \textit{I. N. Simakin}, U.S.S.R. Comput. Math. Math. Phys. 25, No. 1, 63--78 (1985; Zbl 0586.76103); translation from Zh. Vychisl. Mat. Mat. Fiz. 25, No. 1, 96--121 (1985) Full Text: DOI OpenURL
Cuvelier, C. A time dependent free boundary governed by the Navier-Stokes equations. (English) Zbl 0562.76035 Numerical methods in fluid dynamics, 9th int. Conf., Gif-sur- Yvette/France 1984, Lect. Notes Phys. 218, 170-174 (1985). MSC: 76D05 76M99 PDF BibTeX XML OpenURL
Vabishchevich, P. N. Implicit finite-difference schemes for the nonstationary Navier-Stokes equations with the stream function and the vorticity as variables. (English. Russian original) Zbl 0654.76022 Differ. Equations 20, 820-827 (1984); translation from Differ. Uravn. 20, No. 7, 1135-1144 (1984). MSC: 76D05 76M99 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, Differ. Equations 20, 820--827 (1984; Zbl 0654.76022); translation from Differ. Uravn. 20, No. 7, 1135--1144 (1984) OpenURL
Rozhdestvensky, B. L.; Simakin, I. N. Secondary flows in a plane channel: their relationship and comparison with turbulent flows. (English) Zbl 0578.76031 J. Fluid Mech. 147, 261-289 (1984). MSC: 76D05 76M99 76Fxx PDF BibTeX XML Cite \textit{B. L. Rozhdestvensky} and \textit{I. N. Simakin}, J. Fluid Mech. 147, 261--289 (1984; Zbl 0578.76031) Full Text: DOI OpenURL
Golovachev, Yu. P. On the stability of a marching method for the calculation of viscous gas flows. (Russian) Zbl 0569.76045 Chislennye Metody Mekh. Sploshnoj Sredy 15, No. 5, 63-68 (1984). MSC: 76D05 76M99 PDF BibTeX XML OpenURL
Vabishchevich, P. N. Implicit difference schemes for non-stationary Navier-Stokes equations in variables of the stream-whirl function. (Russian) Zbl 0569.76035 Differ. Uravn. 20, No. 7, 1135-1144 (1984). Reviewer: Isaac Yevzerov (Kyïv) MSC: 76M20 76D05 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, Differ. Uravn. 20, No. 7, 1135--1144 (1984; Zbl 0569.76035) OpenURL
Bourdel, F.; Brocard, O.; Kalfon, D. A finite element method for numerical analysis of laminar flow over a step. (English) Zbl 0547.76040 Analysis of laminar flow over a backward facing step, GAMM-Workshop, Bièvres/France 1983, Notes Numer. Fluid Mech. 9, 89-96 (1984). MSC: 76D05 76M99 PDF BibTeX XML OpenURL
Oskolkov, A. P. Model nonstationary systems in the theory of non-Newtonian fluids. III. (English) Zbl 0597.76005 J. Sov. Math. 21, 797-818 (1983). MSC: 76A05 35Q30 35G20 76D05 PDF BibTeX XML Cite \textit{A. P. Oskolkov}, J. Sov. Math. 21, 797--818 (1983; Zbl 0597.76005) Full Text: DOI OpenURL
Belonosov, V. S.; Zelenyak, T. I. On a non-stationary model of a vortex. (Russian) Zbl 0526.76033 Nestatsionarnye Problemy Gidrodinamiki, Din. Sploshnoj Sredy 58, 14-26 (1982). MSC: 76D05 76E99 PDF BibTeX XML Cite \textit{V. S. Belonosov} and \textit{T. I. Zelenyak}, Din. Splosh. Sredy 58, 14--26 (1982; Zbl 0526.76033) OpenURL
Rautmann, Reimund Some open questions in vorticity transport and Navier-Stokes equations. (English) Zbl 0519.76028 Mathematical methods in fluid mechanics, Proc. Conf., Oberwolfach 1981, Methoden Verfahren Math. Phys. 24, 177-188 (1982). MSC: 76D05 76M99 PDF BibTeX XML OpenURL
Baron, F.; Benque, J. P.; Coeffe, Y. Turbulent flow induced by a jet in a cavity-measurements and 3D numerical simulation. (English) Zbl 0518.76052 Turbulent shear flows 3, Sel. Pap. 3rd int. Symp., Davis/Calif. 1981, 195-205 (1982). MSC: 76F10 76D05 76M99 65C20 PDF BibTeX XML OpenURL
Zlatanovski, Tomislav Beitrag zum Problem der instationären Strömung zäher Flüssigkeit im kreiszylindrischen Rohr. (German) Zbl 0517.76035 Teor. Primen. Meh. 8, 149-160 (1982). MSC: 76D05 44A10 45K05 PDF BibTeX XML Cite \textit{T. Zlatanovski}, Teor. Primen. Meh. 8, 149--160 (1982; Zbl 0517.76035) OpenURL
Rautmann, Reimund On error bounds for nonstationary spectral Navier-Stokes approximations. (English) Zbl 0498.76029 Ordinary and partial differential equations, Proc. 7th Conf., Dundee/Scotl. 1982, Lect. Notes Math. 964, 576-583 (1982). MSC: 76D05 76M99 65N30 PDF BibTeX XML OpenURL
Gushchin, V. A. The splitting method for problems of the dynamics of an inhomogeneous viscous incompressible fluid. (English. Russian original) Zbl 0541.76031 U.S.S.R. Comput. Math. Math. Phys. 21, No. 4, 190-204 (1981); translation from Zh. Vychisl. Mat. Mat. Fiz. 21, No. 4, 1003-1017 (1981). Reviewer: A.Pil’kevich MSC: 76D05 76M99 PDF BibTeX XML Cite \textit{V. A. Gushchin}, U.S.S.R. Comput. Math. Math. Phys. 21, No. 4, 190--204 (1981; Zbl 0541.76031); translation from Zh. Vychisl. Mat. Mat. Fiz. 21, No. 4, 1003--1017 (1981) Full Text: DOI OpenURL
Dhatt, Gouri; Fomo, Bonaventure Kamga; Bourque, Claude A psi-omega finite element formulation for the Navier-Stokes equations. (English) Zbl 0489.76038 Int. J. Numer. Methods Eng. 17, 199-212 (1981). MSC: 76D05 76M99 76E15 35Q30 76E30 65N30 PDF BibTeX XML Cite \textit{G. Dhatt} et al., Int. J. Numer. Methods Eng. 17, 199--212 (1981; Zbl 0489.76038) Full Text: DOI OpenURL
Solonnikov, V. A. On the solvability of boundary and initial-boundary value problems for the Navier-Stokes system in domains with noncompact boundaries. (English) Zbl 0413.35062 Pac. J. Math. 93, 443-458 (1981). MSC: 35Q30 76D05 PDF BibTeX XML Cite \textit{V. A. Solonnikov}, Pac. J. Math. 93, 443--458 (1981; Zbl 0413.35062) Full Text: DOI OpenURL
Oskolkov, A. P. On some model non-stationary systems in the theory of non-Newtonian fluids. III. (Russian) Zbl 0544.76004 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 96, 205-232 (1980). MSC: 76A05 35G20 35Q30 76D05 PDF BibTeX XML Cite \textit{A. P. Oskolkov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 96, 205--232 (1980; Zbl 0544.76004) Full Text: EuDML OpenURL
Tabacova, S. S. On the oscillatory viscous flow past two spheres perpendicular to the line of centres. (English) Zbl 0476.76036 C. R. Acad. Bulg. Sci. 33, 1183-1186 (1980). MSC: 76D05 35C20 35C99 PDF BibTeX XML Cite \textit{S. S. Tabacova}, C. R. Acad. Bulg. Sci. 33, 1183--1186 (1980; Zbl 0476.76036) OpenURL
Lions, J. L. Réduction à des problèmes du type Cauchy-Kowaleska. (French) Zbl 0179.22502 C.I.M.E., 2. Ciclo Ispra (Varese) 1967, Numer. Anal. Partial Differ. Equ., 269-281 (1968). Reviewer: W. Schönauer MSC: 76D05 76M25 76M20 65M06 PDF BibTeX XML Full Text: DOI OpenURL