Çelik, Emine; Hoang, Luan; Kieu, Thinh Studying a doubly nonlinear model of slightly compressible Forchheimer flows in rotating porous media. (English) Zbl 1524.76446 Turk. J. Math. 47, No. 3, SI-1, 949-987 (2023). MSC: 76S05 76U60 86A05 35K20 35K65 PDFBibTeX XMLCite \textit{E. Çelik} et al., Turk. J. Math. 47, No. 3, 949--987 (2023; Zbl 1524.76446) Full Text: DOI arXiv
Cao, Dat; Hoang, Luan Asymptotic expansions with exponential, power, and logarithmic functions for non-autonomous nonlinear differential equations. (English) Zbl 1472.34021 J. Evol. Equ. 21, No. 2, 1179-1225 (2021). MSC: 34A25 34D05 37C60 41A60 PDFBibTeX XMLCite \textit{D. Cao} and \textit{L. Hoang}, J. Evol. Equ. 21, No. 2, 1179--1225 (2021; Zbl 1472.34021) Full Text: DOI arXiv
Celik, Emine; Hoang, Luan; Kieu, Thinh Slightly compressible Forchheimer flows in rotating porous media. (English) Zbl 1469.76122 J. Math. Phys. 62, No. 7, Article ID 073101, 39 p. (2021). MSC: 76S05 76U05 76N10 35Q35 PDFBibTeX XMLCite \textit{E. Celik} et al., J. Math. Phys. 62, No. 7, Article ID 073101, 39 p. (2021; Zbl 1469.76122) Full Text: DOI arXiv
Kieu, Thinh Solution of the mixed formulation for generalized Forchheimer flows of isentropic gases. (English) Zbl 1455.76184 J. Math. Phys. 61, No. 8, 081501, 22 p. (2020). MSC: 76S05 76N10 35Q35 PDFBibTeX XMLCite \textit{T. Kieu}, J. Math. Phys. 61, No. 8, 081501, 22 p. (2020; Zbl 1455.76184) Full Text: DOI arXiv
Kieu, Thinh Existence of a solution for generalized Forchheimer flow in porous media with minimal regularity conditions. (English) Zbl 1432.76257 J. Math. Phys. 61, No. 1, 013507, 21 p. (2020). MSC: 76S05 35F20 35F30 35A01 39A12 PDFBibTeX XMLCite \textit{T. Kieu}, J. Math. Phys. 61, No. 1, 013507, 21 p. (2020; Zbl 1432.76257) Full Text: DOI
Hoang, Luan; Kieu, Thinh Global estimates for generalized Forchheimer flows of slightly compressible fluids. (English) Zbl 1412.35257 J. Anal. Math. 137, No. 1, 1-55 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35Q35 76N10 76S05 35K59 PDFBibTeX XMLCite \textit{L. Hoang} and \textit{T. Kieu}, J. Anal. Math. 137, No. 1, 1--55 (2019; Zbl 1412.35257) Full Text: DOI arXiv
Paranamana, Pushpi; Aulisa, Eugenio; Ibragimov, Akif; Toda, Magdalena Fracture model reduction and optimization for Forchheimer flows in reservoirs. (English) Zbl 1414.76065 J. Math. Phys. 60, No. 5, 051504, 19 p. (2019). MSC: 76S05 76N25 PDFBibTeX XMLCite \textit{P. Paranamana} et al., J. Math. Phys. 60, No. 5, 051504, 19 p. (2019; Zbl 1414.76065) Full Text: DOI arXiv
Celik, Emine; Hoang, Luan; Kieu, Thinh Doubly nonlinear parabolic equations for a general class of Forchheimer gas flows in porous media. (English) Zbl 1391.76716 Nonlinearity 31, No. 8, 3617-3650 (2018). MSC: 76S05 35Q35 35B45 35K20 35K55 35K65 35K67 PDFBibTeX XMLCite \textit{E. Celik} et al., Nonlinearity 31, No. 8, 3617--3650 (2018; Zbl 1391.76716) Full Text: DOI arXiv
Liu, Wei; Cui, Jintao A two-grid block-centered finite difference algorithm for nonlinear compressible Darcy-Forchheimer model in porous media. (English) Zbl 1384.76040 J. Sci. Comput. 74, No. 3, 1786-1815 (2018). MSC: 76M20 76S05 65M12 65M15 65M06 PDFBibTeX XMLCite \textit{W. Liu} and \textit{J. Cui}, J. Sci. Comput. 74, No. 3, 1786--1815 (2018; Zbl 1384.76040) Full Text: DOI
Celik, Emine; Hoang, Luan; Kieu, Thinh Generalized Forchheimer flows of isentropic gases. (English) Zbl 1394.76111 J. Math. Fluid Mech. 20, No. 1, 83-115 (2018). MSC: 76N15 76S05 35Q35 PDFBibTeX XMLCite \textit{E. Celik} et al., J. Math. Fluid Mech. 20, No. 1, 83--115 (2018; Zbl 1394.76111) Full Text: DOI arXiv
Kieu, Thinh Numerical analysis for generalized Forchheimer flows of slightly compressible fluids. (English) Zbl 1390.65146 Numer. Methods Partial Differ. Equations 34, No. 1, 228-256 (2018). MSC: 65N30 65N15 76M10 76S05 PDFBibTeX XMLCite \textit{T. Kieu}, Numer. Methods Partial Differ. Equations 34, No. 1, 228--256 (2018; Zbl 1390.65146) Full Text: DOI arXiv
Rui, Hongxing; Pan, Hao A block-centered finite difference method for slightly compressible Darcy-Forchheimer flow in porous media. (English) Zbl 1433.76116 J. Sci. Comput. 73, No. 1, 70-92 (2017). MSC: 76M20 65M06 65M12 65M15 76S05 PDFBibTeX XMLCite \textit{H. Rui} and \textit{H. Pan}, J. Sci. Comput. 73, No. 1, 70--92 (2017; Zbl 1433.76116) Full Text: DOI
Hoang, Luan T.; Kieu, Thinh T. Interior estimates for generalized Forchheimer flows of slightly compressible fluids. (English) Zbl 1372.35030 Adv. Nonlinear Stud. 17, No. 4, 739-767 (2017). MSC: 35B30 35B35 35B40 35K20 35K55 35K65 35Q35 35Q86 PDFBibTeX XMLCite \textit{L. T. Hoang} and \textit{T. T. Kieu}, Adv. Nonlinear Stud. 17, No. 4, 739--767 (2017; Zbl 1372.35030) Full Text: DOI arXiv
Kieu, Thinh A mixed finite element approximation for Darcy-Forchheimer flows of slightly compressible fluids. (English) Zbl 1462.65146 Appl. Numer. Math. 120, 141-164 (2017). MSC: 65M60 65M12 65M15 76S05 76N99 35B45 35Q35 PDFBibTeX XMLCite \textit{T. Kieu}, Appl. Numer. Math. 120, 141--164 (2017; Zbl 1462.65146) Full Text: DOI arXiv
Celik, Emine; Hoang, Luan; Ibragimov, Akif; Kieu, Thinh Fluid flows of mixed regimes in porous media. (English) Zbl 1357.76086 J. Math. Phys. 58, No. 2, 023102, 30 p. (2017). MSC: 76S05 35K55 35K61 PDFBibTeX XMLCite \textit{E. Celik} et al., J. Math. Phys. 58, No. 2, 023102, 30 p. (2017; Zbl 1357.76086) Full Text: DOI arXiv
Celik, Emine; Hoang, Luan Maximum estimates for generalized Forchheimer flows in heterogeneous porous media. (English) Zbl 1366.35124 J. Differ. Equations 262, No. 3, 2158-2195 (2017). Reviewer: Vishnu Dutt Sharma (Mumbai) MSC: 35Q35 76S05 35B45 PDFBibTeX XMLCite \textit{E. Celik} and \textit{L. Hoang}, J. Differ. Equations 262, No. 3, 2158--2195 (2017; Zbl 1366.35124) Full Text: DOI arXiv
Ibragimov, Akif; Kieu, Thinh T. An expanded mixed finite element method for generalized Forchheimer flows in porous media. (English) Zbl 1359.76183 Comput. Math. Appl. 72, No. 6, 1467-1483 (2016). MSC: 76M10 65M60 76S05 PDFBibTeX XMLCite \textit{A. Ibragimov} and \textit{T. T. Kieu}, Comput. Math. Appl. 72, No. 6, 1467--1483 (2016; Zbl 1359.76183) 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 PDFBibTeX XMLCite \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 Link
Passarella, F.; Straughan, B.; Zampoli, V. Structural stability in local thermal non-equilibrium porous media. (English) Zbl 1320.76111 Acta Appl. Math. 136, No. 1, 43-53 (2015). MSC: 76S05 74F05 74A15 35Q35 PDFBibTeX XMLCite \textit{F. Passarella} et al., Acta Appl. Math. 136, No. 1, 43--53 (2015; Zbl 1320.76111) Full Text: DOI
Ciarletta, M.; Straughan, B.; Tibullo, V. Structural stability for a thermal convection model with temperature-dependent solubility. (English) Zbl 1308.35204 Nonlinear Anal., Real World Appl. 22, 34-43 (2015). MSC: 35Q35 76U05 35B35 76R10 76R50 PDFBibTeX XMLCite \textit{M. Ciarletta} et al., Nonlinear Anal., Real World Appl. 22, 34--43 (2015; Zbl 1308.35204) Full Text: DOI arXiv
Hoang, L. T.; Kieu, T. T.; Phan, T. V. Properties of generalized Forchheimer flows in porous media. (English. Russian original) Zbl 1309.35078 J. Math. Sci., New York 202, No. 2, 259-332 (2014); translation from Probl. Mat. Anal. 76, 133-194 (2014). MSC: 35Q35 76S05 35K65 PDFBibTeX XMLCite \textit{L. T. Hoang} et al., J. Math. Sci., New York 202, No. 2, 259--332 (2014; Zbl 1309.35078); translation from Probl. Mat. Anal. 76, 133--194 (2014) Full Text: DOI arXiv
Hoang, Luan T.; Ibragimov, Akif; Kieu, Thinh T. A family of steady two-phase generalized Forchheimer flows and their. (English) Zbl 1308.76287 J. Math. Phys. 55, No. 12, 123101, 32 p. (2014). MSC: 76T15 76S05 PDFBibTeX XMLCite \textit{L. T. Hoang} et al., J. Math. Phys. 55, No. 12, 123101, 32 p. (2014; Zbl 1308.76287) Full Text: DOI arXiv
Straughan, B. Nonlinear stability in microfluidic porous convection problems. (English) Zbl 1305.76040 Ric. Mat. 63, Suppl. 1, S265-S286 (2014). MSC: 76E06 76R10 76R99 76T30 PDFBibTeX XMLCite \textit{B. Straughan}, Ric. Mat. 63, S265--S286 (2014; Zbl 1305.76040) Full Text: DOI