Gie, Gung-Min; Jung, Chang-Yeol; Lee, Hoyeon Semi-analytic shooting methods for Burgers’ equation. (English) Zbl 1496.65085 J. Comput. Appl. Math. 418, Article ID 114694, 18 p. (2023). MSC: 65L04 34E15 76R50 PDF BibTeX XML Cite \textit{G.-M. Gie} et al., J. Comput. Appl. Math. 418, Article ID 114694, 18 p. (2023; Zbl 1496.65085) Full Text: DOI OpenURL
Gie, Gung-Min; Jung, Chang-Yeol; Lee, Hoyeon Enriched finite volume approximations of the plane-parallel flow at a small viscosity. (English) Zbl 1447.65051 J. Sci. Comput. 84, No. 1, Paper No. 7, 26 p. (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65N08 76M12 PDF BibTeX XML Cite \textit{G.-M. Gie} et al., J. Sci. Comput. 84, No. 1, Paper No. 7, 26 p. (2020; Zbl 1447.65051) Full Text: DOI OpenURL
Gie, Gung-Min; Jung, Chang-Yeol; Nguyen, Thien Binh Validation of a 2D cell-centered finite volume method for elliptic equations. (English) Zbl 07316740 Math. Comput. Simul. 165, 119-138 (2019). MSC: 65-XX 65Nxx 76-XX 76Mxx 65Mxx PDF BibTeX XML Cite \textit{G.-M. Gie} et al., Math. Comput. Simul. 165, 119--138 (2019; Zbl 07316740) Full Text: DOI OpenURL
Gie, Gung-Min; Kelliher, James P.; Lopes Filho, Milton C.; Mazzucato, Anna L.; Nussenzveig Lopes, Helena J. The vanishing viscosity limit for some symmetric flows. (English) Zbl 1416.35025 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1237-1280 (2019). MSC: 35B25 35C20 76D05 76D10 35Q30 35Q31 PDF BibTeX XML Cite \textit{G.-M. Gie} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1237--1280 (2019; Zbl 1416.35025) Full Text: DOI arXiv OpenURL
Gie, G.-M.; Whitehead, J. P. Boundary layer analysis for Navier-slip Rayleigh-Bénard convection: the non-existence of an ultimate state. (English) Zbl 1446.76102 J. Math. Fluid Mech. 21, No. 1, Paper No. 3, 25 p. (2019). MSC: 76D10 76R10 76M45 PDF BibTeX XML Cite \textit{G. M. Gie} and \textit{J. P. Whitehead}, J. Math. Fluid Mech. 21, No. 1, Paper No. 3, 25 p. (2019; Zbl 1446.76102) Full Text: DOI OpenURL
Gie, Gung-Min; Kelliher, James P.; Mazzucato, Anna L. Boundary layers for the Navier-Stokes equations linearized around a stationary Euler flow. (English) Zbl 1404.35016 J. Math. Fluid Mech. 20, No. 4, 1405-1426 (2018). MSC: 35B25 35C20 76D10 35Q30 PDF BibTeX XML Cite \textit{G.-M. Gie} et al., J. Math. Fluid Mech. 20, No. 4, 1405--1426 (2018; Zbl 1404.35016) Full Text: DOI OpenURL
Gie, Gung-Min; Hamouda, Makram; Jung, Chang-Yeol; Temam, Roger M. Singular perturbations and boundary layers. (English) Zbl 1411.35002 Applied Mathematical Sciences 200. Cham: Springer (ISBN 978-3-030-00637-2/hbk; 978-3-030-00638-9/ebook). xviii, 412 p. (2018). Reviewer: Lutz Recke (Berlin) MSC: 35-02 35B25 35C20 76D10 35J25 35K57 35K20 35Q30 PDF BibTeX XML Cite \textit{G.-M. Gie} et al., Singular perturbations and boundary layers. Cham: Springer (2018; Zbl 1411.35002) Full Text: DOI OpenURL
Cozzi, Elaine; Gie, Gung-Min; Kelliher, James P. The aggregation equation with Newtonian potential: the vanishing viscosity limit. (English) Zbl 1369.35054 J. Math. Anal. Appl. 453, No. 2, 841-893 (2017). MSC: 35Q35 76N17 92C17 PDF BibTeX XML Cite \textit{E. Cozzi} et al., J. Math. Anal. Appl. 453, No. 2, 841--893 (2017; Zbl 1369.35054) Full Text: DOI arXiv OpenURL
Gie, Gung-Min; Henderson, Christopher; Iyer, Gautam; Kavlie, Landon; Whitehead, Jared P. Stability of vortex solutions to an extended Navier-Stokes system. (English) Zbl 1353.76013 Commun. Math. Sci. 14, No. 7, 1773-1797 (2016). MSC: 76D05 35Q30 65M06 76M25 PDF BibTeX XML Cite \textit{G.-M. Gie} et al., Commun. Math. Sci. 14, No. 7, 1773--1797 (2016; Zbl 1353.76013) Full Text: DOI arXiv OpenURL
Gie, G.-M.; Hamouda, M.; Sboui, A. Asymptotic analysis of the Stokes equations in a square at small viscosity. (English) Zbl 1353.35032 Appl. Anal. 95, No. 12, 2683-2702 (2016). MSC: 35B25 35C20 35K05 35Q35 PDF BibTeX XML Cite \textit{G. M. Gie} et al., Appl. Anal. 95, No. 12, 2683--2702 (2016; Zbl 1353.35032) Full Text: DOI OpenURL
Temam, Roger; Jung, Chang-Yeol; Gie, Gung-Min Recent progresses in boundary layer theory. (English) Zbl 1343.35016 Discrete Contin. Dyn. Syst. 36, No. 5, 2521-2583 (2016). MSC: 35B25 35C20 76D10 35K05 PDF BibTeX XML Cite \textit{R. Temam} et al., Discrete Contin. Dyn. Syst. 36, No. 5, 2521--2583 (2016; Zbl 1343.35016) Full Text: DOI OpenURL
Gie, Gung-Min; Temam, Roger Convergence of a cell-centered finite volume method and application to elliptic equations. (English) Zbl 1499.65618 Int. J. Numer. Anal. Model. 12, No. 3, 536-566 (2015). MSC: 65N08 65N12 76M12 65N06 41A58 PDF BibTeX XML Cite \textit{G.-M. Gie} and \textit{R. Temam}, Int. J. Numer. Anal. Model. 12, No. 3, 536--566 (2015; Zbl 1499.65618) Full Text: Link OpenURL
Bousquet, Arthur; Gie, Gung-Min; Hong, Youngjoon; Laminie, Jacques A higher order finite volume resolution method for a system related to the inviscid primitive equations in a complex domain. (English) Zbl 1303.65073 Numer. Math. 128, No. 3, 431-461 (2014). MSC: 65M08 35L65 86A10 76B70 76M12 65M50 PDF BibTeX XML Cite \textit{A. Bousquet} et al., Numer. Math. 128, No. 3, 431--461 (2014; Zbl 1303.65073) Full Text: DOI OpenURL
Gie, Gung-Min Asymptotic expansion of the Stokes solutions at small viscosity: the case of non-compatible initial data. (English) Zbl 1302.35100 Commun. Math. Sci. 12, No. 2, 383-400 (2014). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35C20 76D07 76D10 35B25 35Q31 PDF BibTeX XML Cite \textit{G.-M. Gie}, Commun. Math. Sci. 12, No. 2, 383--400 (2014; Zbl 1302.35100) Full Text: DOI OpenURL
Gie, Gung-Min; Jung, Chang-Yeol Vorticity layers of the 2D Navier-Stokes equations with a slip type boundary condition. (English) Zbl 1280.35090 Asymptotic Anal. 84, No. 1-2, 17-33 (2013). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 76D05 76N20 PDF BibTeX XML Cite \textit{G.-M. Gie} and \textit{C.-Y. Jung}, Asymptotic Anal. 84, No. 1--2, 17--33 (2013; Zbl 1280.35090) Full Text: DOI OpenURL
Song, Lunji; Gie, Gung-Min; Shiue, Ming-Cheng Interior penalty discontinuous Galerkin methods with implicit time-integration techniques for nonlinear parabolic equations. (English) Zbl 1281.65131 Numer. Methods Partial Differ. Equations 29, No. 4, 1341-1366 (2013). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 65M20 35K55 76S05 76M10 65M15 65M12 PDF BibTeX XML Cite \textit{L. Song} et al., Numer. Methods Partial Differ. Equations 29, No. 4, 1341--1366 (2013; Zbl 1281.65131) Full Text: DOI OpenURL
Gie, Gung-Min; Jung, Chang-Yeol; Temam, Roger Analysis of mixed elliptic and parabolic boundary layers with corners. (English) Zbl 1272.35094 Int. J. Differ. Equ. 2013, Article ID 532987, 13 p. (2013). MSC: 35J60 35B40 PDF BibTeX XML Cite \textit{G.-M. Gie} et al., Int. J. Differ. Equ. 2013, Article ID 532987, 13 p. (2013; Zbl 1272.35094) Full Text: DOI OpenURL
Gie, Gung-Min; Hamouda, Makram; Temam, Roger Asymptotic analysis of the Navier-Stokes equations in a curved domain with a non-characteristic boundary. (English) Zbl 1270.35046 Netw. Heterog. Media 7, No. 4, 741-766 (2012). MSC: 35B25 35C20 76D07 76D10 35Q30 PDF BibTeX XML Cite \textit{G.-M. Gie} et al., Netw. Heterog. Media 7, No. 4, 741--766 (2012; Zbl 1270.35046) Full Text: DOI OpenURL
Gie, Gung-Min; Kelliher, James P. Boundary layer analysis of the Navier-Stokes equations with generalized Navier boundary conditions. (English) Zbl 1248.35144 J. Differ. Equations 253, No. 6, 1862-1892 (2012). MSC: 35Q30 35B25 35C20 76D05 76D10 PDF BibTeX XML Cite \textit{G.-M. Gie} and \textit{J. P. Kelliher}, J. Differ. Equations 253, No. 6, 1862--1892 (2012; Zbl 1248.35144) Full Text: DOI arXiv OpenURL
Gie, Gung-Min; Temam, Roger Cell centered finite volume methods using Taylor series expansion scheme without fictitious domains. (English) Zbl 1499.65619 Int. J. Numer. Anal. Model. 7, No. 1, 1-29 (2010). MSC: 65N08 65N06 35Q35 65N12 76M12 76M20 86A05 35Q86 PDF BibTeX XML Cite \textit{G.-M. Gie} and \textit{R. Temam}, Int. J. Numer. Anal. Model. 7, No. 1, 1--29 (2010; Zbl 1499.65619) Full Text: Link OpenURL
Gie, Gung-Min; Hamouda, Makram; Témam, Roger Boundary layers in smooth curvilinear domains: parabolic problems. (English) Zbl 1191.35035 Discrete Contin. Dyn. Syst. 26, No. 4, 1213-1240 (2010). Reviewer: Denise Huet (Nancy) MSC: 35B25 35C20 35K05 35K20 PDF BibTeX XML Cite \textit{G.-M. Gie} et al., Discrete Contin. Dyn. Syst. 26, No. 4, 1213--1240 (2010; Zbl 1191.35035) Full Text: DOI OpenURL
Gie, Gung-Min; Hamouda, Makram; Temam, Roger Asymptotic analysis of the Stokes problem on general bounded domains: the case of a characteristic boundary. (English) Zbl 1191.35034 Appl. Anal. 89, No. 1, 49-66 (2010). Reviewer: Galina Bizhanova (Almaty) MSC: 35B25 35C20 76D07 35Q35 PDF BibTeX XML Cite \textit{G.-M. Gie} et al., Appl. Anal. 89, No. 1, 49--66 (2010; Zbl 1191.35034) Full Text: DOI OpenURL
Gie, Gung-Min Singular perturbation problems in a general smooth domain. (English) Zbl 1163.35375 Asymptotic Anal. 62, No. 3-4, 227-249 (2009). MSC: 35J60 35C20 PDF BibTeX XML Cite \textit{G.-M. Gie}, Asymptotic Anal. 62, No. 3--4, 227--249 (2009; Zbl 1163.35375) Full Text: DOI OpenURL