Zhang, Lucy T.; Krane, Michael H.; Yu, Feimi Modeling of slightly-compressible isentropic flows and compressibility effects on fluid-structure interactions. (English) Zbl 1411.76076 Comput. Fluids 182, 108-117 (2019). MSC: 76M10 65M60 74F10 76N15 PDF BibTeX XML Cite \textit{L. T. Zhang} et al., Comput. Fluids 182, 108--117 (2019; Zbl 1411.76076) Full Text: DOI
Ghidaglia, Jean-Michel; Mrabet, Ahmed Amine A regularized stiffened-gas equation of state. (English) Zbl 07303364 J. Appl. Anal. Comput. 8, No. 3, 675-689 (2018). MSC: 76Nxx 80A17 35Q79 PDF BibTeX XML Cite \textit{J.-M. Ghidaglia} and \textit{A. A. Mrabet}, J. Appl. Anal. Comput. 8, No. 3, 675--689 (2018; Zbl 07303364) Full Text: DOI
Kieu, Thinh A mixed finite element approximation for Darcy-Forchheimer flows of slightly compressible fluids. (English) Zbl 06755532 Appl. Numer. Math. 120, 141-164 (2017). MSC: 65 PDF BibTeX XML Cite \textit{T. Kieu}, Appl. Numer. Math. 120, 141--164 (2017; Zbl 06755532) Full Text: DOI arXiv
Hoang, L.; Ibragimov, A.; Kieu, T.; Sobol, Z. Stability of solutions to generalized Forchheimer equations of any degree. (English. Russian original) Zbl 1341.35117 J. Math. Sci., New York 210, No. 4, 476-544 (2015); translation from Probl. Mat. Anal. 81, 121-178 (2015). Reviewer: Natalia Bondarenko (Saratov) MSC: 35Q35 76S05 76N99 35B35 35K65 PDF BibTeX XML Cite \textit{L. Hoang} et al., J. Math. Sci., New York 210, No. 4, 476--544 (2015; Zbl 1341.35117); translation from Probl. Mat. Anal. 81, 121--178 (2015) Full Text: DOI
Che, Yonggang; Zhang, Lilun; Xu, Chuanfu; Wang, Yongxian; Liu, Wei; Wang, Zhenghua Optimization of a parallel CFD code and its performance evaluation on Tianhe-1A. (English) Zbl 1413.65500 Comput. Inform. 33, No. 6, 1377-1399 (2014). MSC: 65Y05 76D05 PDF BibTeX XML Cite \textit{Y. Che} et al., Comput. Inform. 33, No. 6, 1377--1399 (2014; Zbl 1413.65500)
Thomas, Sunil G.; Wheeler, Mary F. Enhanced velocity mixed finite element methods for modeling coupled flow and transport on non-matching multiblock grids. Analysis and applications to transport of reactive species in multiphase flow through porous mediaEnhanced velocity mixed finite element methods for modeling coupled flow and transport on non-matching multiblock grids analysis and applications to transport of reactive species in multiphase flow through porous media. (Enhanced velocity mixed finite element methods for modeling coupled flow and transport on non-matching multiblock grids analysis and applications to transport of reactive species in multiphase flow through porous media.) (English) Zbl 1348.76101 Comput. Geosci. 15, No. 4, 605-625 (2011). MSC: 76M10 76V05 76S05 76T99 PDF BibTeX XML Cite \textit{S. G. Thomas} and \textit{M. F. Wheeler}, Comput. Geosci. 15, No. 4, 605--625 (2011; Zbl 1348.76101) Full Text: DOI
Kang, Sung Yong; Kim, Sun Kyoung; Lee, Woo Il Penalty formulation for postfilling analysis during injection molding. (English) Zbl 1138.76047 Int. J. Numer. Methods Fluids 57, No. 2, 139-155 (2008). MSC: 76M10 76T99 76N99 PDF BibTeX XML Cite \textit{S. Y. Kang} et al., Int. J. Numer. Methods Fluids 57, No. 2, 139--155 (2008; Zbl 1138.76047) Full Text: DOI
Showalter, R. E.; Stefanelli, U. Diffusion in poro-plastic media. (English) Zbl 1095.74011 Math. Methods Appl. Sci. 27, No. 18, 2131-2151 (2004). MSC: 74F10 74S05 74H20 74H25 35Q72 74C10 76R50 PDF BibTeX XML Cite \textit{R. E. Showalter} and \textit{U. Stefanelli}, Math. Methods Appl. Sci. 27, No. 18, 2131--2151 (2004; Zbl 1095.74011) Full Text: DOI
Glimm, J.; Jin, H. An asymptotic analysis of two-phase fluid mixing. (English) Zbl 1037.76058 Bol. Soc. Bras. Mat., Nova Sér. 32, No. 3, 213-236 (2001). MSC: 76T10 76M45 PDF BibTeX XML Cite \textit{J. Glimm} and \textit{H. Jin}, Bol. Soc. Bras. Mat., Nova Sér. 32, No. 3, 213--236 (2001; Zbl 1037.76058) Full Text: DOI
Bayada, Guy; Chambat, Michèle A finite element algorithm for cavitation in hydrodynamic lubrication. (English) Zbl 1019.76026 Rev. Eur. Élém. Finis 10, No. 6-7, 653-678 (2001). MSC: 76M10 76D08 76N15 PDF BibTeX XML Cite \textit{G. Bayada} and \textit{M. Chambat}, Rev. Eur. Élém. Finis 10, No. 6--7, 653--678 (2001; Zbl 1019.76026) Full Text: DOI
Showalter, R. E.; Su, Ning Partially saturated flow in a poroelastic medium. (English) Zbl 1004.76090 Discrete Contin. Dyn. Syst., Ser. B 1, No. 4, 403-420 (2001). MSC: 76S05 74F10 35Q35 49J40 PDF BibTeX XML Cite \textit{R. E. Showalter} and \textit{N. Su}, Discrete Contin. Dyn. Syst., Ser. B 1, No. 4, 403--420 (2001; Zbl 1004.76090) Full Text: DOI
Métivier, G.; Schochet, S. The incompressible limit of the non-isentropic Euler equations. (English) Zbl 0974.76072 Arch. Ration. Mech. Anal. 158, No. 1, 61-90 (2001). MSC: 76N10 35Q35 PDF BibTeX XML Cite \textit{G. Métivier} and \textit{S. Schochet}, Arch. Ration. Mech. Anal. 158, No. 1, 61--90 (2001; Zbl 0974.76072) Full Text: DOI
Moise, I.; Ziane, M. Renormalization group method. Applications to partial differential equations. (English) Zbl 1081.35082 J. Dyn. Differ. Equations 13, No. 2, 275-321 (2001). Reviewer: Vladislav V. Kravchenko (México) MSC: 35Q30 76D05 76M25 PDF BibTeX XML Cite \textit{I. Moise} and \textit{M. Ziane}, J. Dyn. Differ. Equations 13, No. 2, 275--321 (2001; Zbl 1081.35082) Full Text: DOI
von Ellenrieder, Karl D.; Cantwell, Brian J. Self-similar, slightly compressible, free vortices. (English) Zbl 0979.76071 J. Fluid Mech. 423, 293-315 (2000). MSC: 76N15 76M55 80A20 PDF BibTeX XML Cite \textit{K. D. von Ellenrieder} and \textit{B. J. Cantwell}, J. Fluid Mech. 423, 293--315 (2000; Zbl 0979.76071) Full Text: DOI
Showalter, R. E. Diffusion in poro-elastic media. (English) Zbl 0979.74018 J. Math. Anal. Appl. 251, No. 1, 310-340 (2000). Reviewer: Arkadi Berezovski (Tallinn) MSC: 74F10 76S05 35Q72 35Q35 76R50 PDF BibTeX XML Cite \textit{R. E. Showalter}, J. Math. Anal. Appl. 251, No. 1, 310--340 (2000; Zbl 0979.74018) Full Text: DOI
Allaire, G.; Conca, C.; Vanninathan, M. Spectral asymptotics of the Helmholtz model in fluid-solid structures. (English) Zbl 0952.74022 Int. J. Numer. Methods Eng. 46, No. 9, 1463-1504 (1999). MSC: 74F10 74Q10 74H10 35P20 76N15 PDF BibTeX XML Cite \textit{G. Allaire} et al., Int. J. Numer. Methods Eng. 46, No. 9, 1463--1504 (1999; Zbl 0952.74022) Full Text: DOI
Gallagher, Isabelle Asymptotic of the solutions of hyperbolic equations with a skew-symmetric perturbation. (English) Zbl 0921.35095 J. Differ. Equations 150, No. 2, 363-384 (1998). Reviewer: V.Iftimie (Bucureşti) MSC: 35L60 35C20 35Q35 PDF BibTeX XML Cite \textit{I. Gallagher}, J. Differ. Equations 150, No. 2, 363--384 (1998; Zbl 0921.35095) Full Text: DOI
Douglas, J. jun.; Kischinhevsky, M.; Paes Leme, P. J.; Spagnuolo, A. M. A multiple-porosity model for a single-phase flow through naturally-fractured porous media. (English) Zbl 0920.76083 Comput. Appl. Math. 17, No. 1, 19-48 (1998). MSC: 76S05 35B27 35Q35 PDF BibTeX XML Cite \textit{J. Douglas jun.} et al., Comput. Appl. Math. 17, No. 1, 19--48 (1998; Zbl 0920.76083)
Vergassola, M.; Avellaneda, M. Scalar transport in compressible flow. (English) Zbl 0962.76533 Physica D 106, No. 1-2, 148-166 (1997). MSC: 76F25 76M35 76N15 PDF BibTeX XML Cite \textit{M. Vergassola} and \textit{M. Avellaneda}, Physica D 106, No. 1--2, 148--166 (1997; Zbl 0962.76533) Full Text: DOI
Korobkin, A. A. Impact of liquid and solid masses. Ed. and with a preface by V. M. Teshukov. (Soudarenie zhidkikh i tverdykh mass.) (Russian) Zbl 0942.76002 Novosibirsk: Izdatel’stvo Rossijskoj Akademii Nauk, Sibirskoe Otdelenie. 200 p. (1997). Reviewer: N.I.Alexandrova (Novosibirsk) MSC: 76-02 76N99 76B10 74F10 76M45 PDF BibTeX XML Cite \textit{A. A. Korobkin}, Soudarenie zhidkikh i tverdykh mass (Russian). Novosibirsk: Izdatel'stvo Rossijskoj Akademii Nauk, Sibirskoe Otdelenie (1997; Zbl 0942.76002)
Fabrie, P.; Galusinski, C. Exponential attractors for the slightly compressible \(2\)D-Navier-Stokes. (English) Zbl 0948.35096 Discrete Contin. Dyn. Syst. 2, No. 3, 315-348 (1996). MSC: 35Q30 37L30 35B40 76D05 76N10 PDF BibTeX XML Cite \textit{P. Fabrie} and \textit{C. Galusinski}, Discrete Contin. Dyn. Syst. 2, No. 3, 315--348 (1996; Zbl 0948.35096) Full Text: DOI
Korobkin, Alexander Acoustic approximation in the slamming problem. (English) Zbl 0884.73049 J. Fluid Mech. 318, 165-188 (1996). MSC: 74F10 74M20 76N10 PDF BibTeX XML Cite \textit{A. Korobkin}, J. Fluid Mech. 318, 165--188 (1996; Zbl 0884.73049) Full Text: DOI
Dyne, B. R.; Heinrich, J. C. Physically correct penalty-like formulations for accurate pressure calculation in finite element algorithms of the Navier-Stokes equations. (English) Zbl 0796.76050 Int. J. Numer. Methods Eng. 36, No. 22, 3883-3902 (1993). MSC: 76M10 76D05 76N10 PDF BibTeX XML Cite \textit{B. R. Dyne} and \textit{J. C. Heinrich}, Int. J. Numer. Methods Eng. 36, No. 22, 3883--3902 (1993; Zbl 0796.76050) Full Text: DOI
Brenier, Y. The dual least action problem for an ideal, incompressible fluid. (English) Zbl 0797.76006 Arch. Ration. Mech. Anal. 122, No. 4, 323-351 (1993). Reviewer: T.Petrila (Cluj-Napoca) MSC: 76B99 76M30 58D30 PDF BibTeX XML Cite \textit{Y. Brenier}, Arch. Ration. Mech. Anal. 122, No. 4, 323--351 (1993; Zbl 0797.76006) Full Text: DOI
Zhu, Jianping; Chen, Yung Ming Multilevel grid method for history matching multi-dimensional multi-phase reservoir models. (English) Zbl 0749.76082 Appl. Numer. Math. 10, No. 2, 159-174 (1992). MSC: 76T99 76S05 76M20 PDF BibTeX XML Cite \textit{J. Zhu} and \textit{Y. M. Chen}, Appl. Numer. Math. 10, No. 2, 159--174 (1992; Zbl 0749.76082) Full Text: DOI
Yu, Qihuang; Wu, Shengchang; Chen, Yongming; Hu, Chengxian; He, Hongxian Approximate formula for the volume of oil-storing space of a reservoir. (English) Zbl 0749.76077 Acta Math. Appl. Sin., Engl. Ser. 7, No. 4, 379-382 (1991). MSC: 76S05 35Q35 PDF BibTeX XML Cite \textit{Q. Yu} et al., Acta Math. Appl. Sin., Engl. Ser. 7, No. 4, 379--382 (1991; Zbl 0749.76077) Full Text: DOI
Michelson, Daniel Initial-boundary value problems for incomplete singular perturbations of hyperbolic systems. (English) Zbl 0698.35005 J. Anal. Math. 53, 1-138 (1989). Reviewer: R.Leis MSC: 35-02 35L45 35L50 35A27 35B25 35L60 35B40 35N10 PDF BibTeX XML Cite \textit{D. Michelson}, J. Anal. Math. 53, 1--138 (1989; Zbl 0698.35005) Full Text: DOI
Nicolaenko, Basil Inertial manifolds for models of compressible gas dynamics. (English) Zbl 0685.76029 The connection between infinite dimensional and finite dimensional dynamical systems, Proc. AMS-IMS-SIAM Jt. Summer Res. Conf., Boulder/CO 1987, Contemp. Math. 99, 165-179 (1989). MSC: 76N15 35L65 PDF BibTeX XML
Liu, Ciqun Flow of non-Newtonian fluids through porous media. (English) Zbl 0676.76006 The advances of applied mathematics and mechanics in China, Vol. 1, 130-137 (1988). MSC: 76A05 76S05 PDF BibTeX XML
El-Khatib, N. Simulation of infinite composite reservoirs. (English) Zbl 0641.76092 Appl. Math. Modelling 11, 185-194 (1987). Reviewer: G.Paria MSC: 76S05 76T99 76N10 PDF BibTeX XML Cite \textit{N. El-Khatib}, Appl. Math. Modelling 11, 185--194 (1987; Zbl 0641.76092) Full Text: DOI
Lund, Fernando The interaction of sound and vorticity. (English) Zbl 0639.76083 Instabilities and nonequilibrium structures, Lect. 1st Int. Workshop, Valparaîso/Chile 1985, Math. Appl., D. Reidel Publ. Co. 33, 117-140 (1987). Reviewer: M.Heckl MSC: 76Q05 PDF BibTeX XML
Lund, Fernando; Zabusky, Norman J. A new approach to the effect of sound on vortex dynamics. (English) Zbl 0636.76084 Phys. Fluids 30, 2306-2307 (1987). MSC: 76Q05 76N10 PDF BibTeX XML Cite \textit{F. Lund} and \textit{N. J. Zabusky}, Phys. Fluids 30, 2306--2307 (1987; Zbl 0636.76084) Full Text: DOI
Liu, Ciqun Nonsteady flow of groundwater in aquifer system with viscoelastic properties. (English) Zbl 0623.76104 Appl. Math. Mech., Engl. Ed. 7, 1027-1033 (1986). MSC: 76S05 76A10 76V05 76M99 PDF BibTeX XML Cite \textit{C. Liu}, Appl. Math. Mech., Engl. Ed. 7, 1027--1033 (1986; Zbl 0623.76104) Full Text: DOI
Chavent, Guy; Jaffré, Jérôme Mathematical models and finite elements for reservoir simulation. Single phase, multiphase and multicomponent flows through porous media. (English) Zbl 0603.76101 Studies in Mathematics and its Applications, Vol. 17. Amsterdam etc.: North-Holland. XI, 376 p. $ 80.00; Dfl. 200.00 (1986). Reviewer: D.Poliševski MSC: 76T99 76V05 76-02 76N20 76N15 46N99 65N30 76S05 PDF BibTeX XML
Geymonat, G.; Sanchez-Palencia, E. Spectral properties of certain stiff problems in elasticity and acoustics. II. (English) Zbl 0597.73004 Operator theory and partial differential equations, Miniconf. Canberra/Aust. 1983, Proc. Cent. Math. Anal. Aust. Natl. Univ. 5, 15-38 (1984). MSC: 74B05 35P20 35C20 74H45 74B99 74H99 74F10 35B20 PDF BibTeX XML
Potempa, Thom C.; Wheeler, Mary Fanett An implicit diffusive numerical procedure for a slightly compressible miscible displacement problem in porous media. (English) Zbl 0533.76109 Numerical analysis, Proc. 10th bienn. Conf., Dundee/Scotl. 1983, Lect. Notes Math. 1066, 239-263 (1984). MSC: 76T99 76M99 PDF BibTeX XML
Bezhanov, K. A. The regular case of shock wave diffraction on a wedge partly submerged in fluid. (English. Russian original) Zbl 0531.76071 J. Appl. Math. Mech. 46, 497-502 (1983); translation from Prikl. Mat. Mekh. 46, 628-634 (1982). MSC: 76L05 76N10 PDF BibTeX XML Cite \textit{K. A. Bezhanov}, J. Appl. Math. Mech. 46, 497--502 (1983; Zbl 0531.76071); translation from Prikl. Mat. Mekh. 46, 628--634 (1982) Full Text: DOI
Chen, Zhong-xiang Exact solution to the problem of flow of slightly compressible fluids in a bounded confined ”practure-pore” medium and its application to well testing. (English) Zbl 0515.76099 Appl. Math. Mech., Engl. Ed. 4, 435-447 (1983). MSC: 76S05 76A05 76M99 PDF BibTeX XML Cite \textit{Z.-x. Chen}, Appl. Math. Mech., Engl. Ed. 4, 435--447 (1983; Zbl 0515.76099) Full Text: DOI
Liu, Ciqun; An, Weitung Numerical simulation of flow of a slightly compressible fluid through a medium with multiple-porosity. (Chinese. English summary) Zbl 0562.76067 Acta Mech. Sin. 1982, 236-243 (1982). MSC: 76N10 76M99 PDF BibTeX XML Cite \textit{C. Liu} and \textit{W. An}, Acta Mech. Sin. 1982, 236--243 (1982; Zbl 0562.76067)
Zeytounian, Radyadour Sur la forme limite des équations de Navier-Stokes, aux grands nombres de Reynolds et au voisinage d’une paroi et de l’instant initial. (French) Zbl 0426.76053 C. R. Acad. Sci., Paris, Sér. A 290, 567-569 (1980). MSC: 76N20 PDF BibTeX XML Cite \textit{R. Zeytounian}, C. R. Acad. Sci., Paris, Sér. A 290, 567--569 (1980; Zbl 0426.76053)