Ngom, Timack; Ouédraogo, Arouna; Ersoy, Mehmet A generalization of Saint-Venant Exner equations. (English) Zbl 07788564 Linear Nonlinear Anal. 9, No. 2, 149-174 (2023). MSC: 35Q30 35Q35 35Q83 76N10 76T25 35K51 35B40 PDFBibTeX XMLCite \textit{T. Ngom} et al., Linear Nonlinear Anal. 9, No. 2, 149--174 (2023; Zbl 07788564) Full Text: Link
Debyaoui, Mohamed Ali; Ersoy, Mehmet A generalised Serre-Green-Naghdi equations for variable rectangular open channel hydraulics and its finite volume approximation. (English) Zbl 1481.76028 Muñoz-Ruiz, María Luz (ed.) et al., Recent advances in numerical methods for hyperbolic PDE systems. NumHyp 2019. Selected papers based on the presentations at the 6th international conference on numerical methods for hyperbolic problems, Málaga, Spain, June 17–21, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 28, 251-268 (2021). MSC: 76B07 76M12 PDFBibTeX XMLCite \textit{M. A. Debyaoui} and \textit{M. Ersoy}, SEMA SIMAI Springer Ser. 28, 251--268 (2021; Zbl 1481.76028) Full Text: DOI HAL
Debyaoui, Mohamed Ali; Ersoy, Mehmet Generalised Serre-Green-Naghdi equations for open channel and for natural river hydraulics. (English) Zbl 1502.35092 Asymptotic Anal. 124, No. 3-4, 343-369 (2021). MSC: 35Q31 76B15 76B07 35B40 35R35 PDFBibTeX XMLCite \textit{M. A. Debyaoui} and \textit{M. Ersoy}, Asymptotic Anal. 124, No. 3--4, 343--369 (2021; Zbl 1502.35092) Full Text: DOI
Ersoy, Mehmet; Lakkis, Omar; Townsend, Philip A Saint-Venant shallow water model for overland flows with precipitation and recharge. arXiv:1705.05470 Preprint, arXiv:1705.05470 [math.NA] (2017). MSC: 76N99 65M08 BibTeX Cite \textit{M. Ersoy} et al., ``A Saint-Venant shallow water model for overland flows with precipitation and recharge'', Preprint, arXiv:1705.05470 [math.NA] (2017) Full Text: DOI arXiv OA License
Altazin, Thomas; Ersoy, Mehmet; Golay, Frédéric; Sous, Damien; Yushchenko, Lyudmyla Numerical investigation of BB-AMR scheme using entropy production as refinement criterion. (English) Zbl 07516410 Int. J. Comput. Fluid Dyn. 30, No. 3, 256-271 (2016). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{T. Altazin} et al., Int. J. Comput. Fluid Dyn. 30, No. 3, 256--271 (2016; Zbl 07516410) Full Text: DOI HAL
Ersoy, M. Dimension reduction for compressible pipe flows including friction. (English) Zbl 1347.35192 Asymptotic Anal. 98, No. 3, 237-255 (2016). MSC: 35Q30 76N99 74F10 PDFBibTeX XMLCite \textit{M. Ersoy}, Asymptotic Anal. 98, No. 3, 237--255 (2016; Zbl 1347.35192) Full Text: DOI
Golay, F.; Ersoy, M.; Yushchenko, L.; Sous, D. Block-based adaptive mesh refinement scheme using numerical density of entropy production for three-dimensional two-fluid flows. (English) Zbl 07514815 Int. J. Comput. Fluid Dyn. 29, No. 1, 67-81 (2015). MSC: 76-XX 80-XX PDFBibTeX XMLCite \textit{F. Golay} et al., Int. J. Comput. Fluid Dyn. 29, No. 1, 67--81 (2015; Zbl 07514815) Full Text: DOI HAL
Ersoy, Mehmet Dimension reduction for incompressible pipe and open channel flow including friction. (English) Zbl 1363.76004 Brandts, J. (ed.) et al., Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, November 18–21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Prague: Czech Academy of Sciences, Institute of Mathematics (ISBN 978-80-85823-65-3). 17-33 (2015). Reviewer: Jan Stebel (Liberec) MSC: 76B07 65M08 65M75 76M12 76M28 76D05 PDFBibTeX XMLCite \textit{M. Ersoy}, in: Proceedings of the international conference `Applications of mathematics', Prague, Czech Republic, November 18--21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Prague: Czech Academy of Sciences, Institute of Mathematics. 17--33 (2015; Zbl 1363.76004) Full Text: Link
Bourdarias, Christian; Ersoy, Mehmet; Gerbi, Stéphane Unsteady mixed flows in non uniform closed water pipes: a full kinetic approach. (English) Zbl 1298.76033 Numer. Math. 128, No. 2, 217-263 (2014). MSC: 76B07 76M12 76M28 76N15 65M08 65M75 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., Numer. Math. 128, No. 2, 217--263 (2014; Zbl 1298.76033) Full Text: DOI arXiv Link
Ersoy, Mehmet; Golay, Frédéric; Yushchenko, Lyudmyla Adaptive multiscale scheme based on numerical density of entropy production for conservation laws. (English) Zbl 1457.35022 Cent. Eur. J. Math. 11, No. 8, 1392-1415 (2013). MSC: 35L60 65M08 65M50 PDFBibTeX XMLCite \textit{M. Ersoy} et al., Cent. Eur. J. Math. 11, No. 8, 1392--1415 (2013; Zbl 1457.35022) Full Text: DOI HAL
Bourdarias, Christian; Ersoy, Mehmet; Gerbi, Stéphane Air entrainment in transient flows in closed water pipes: a two-layer approach. (English) Zbl 1267.76009 ESAIM, Math. Model. Numer. Anal. 47, No. 2, 507-538 (2013). MSC: 76B03 76N15 76S05 76T99 74F10 74S10 35L60 74G15 35Q35 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., ESAIM, Math. Model. Numer. Anal. 47, No. 2, 507--538 (2013; Zbl 1267.76009) Full Text: DOI arXiv
Ersoy, Mehmet; Feireisl, Eduard; Zuazua, Enrique Sensitivity analysis of \(1-d\) steady forced scalar conservation laws. (English) Zbl 1263.35024 J. Differ. Equations 254, No. 9, 3817-3834 (2013). MSC: 35B30 35L65 35F30 PDFBibTeX XMLCite \textit{M. Ersoy} et al., J. Differ. Equations 254, No. 9, 3817--3834 (2013; Zbl 1263.35024) Full Text: DOI
Ersoy, Mehmet; Ngom, Timack Existence of a global weak solution to compressible primitive equations. (English. French summary) Zbl 1253.35119 C. R., Math., Acad. Sci. Paris 350, No. 7-8, 379-382 (2012). Reviewer: Yongsheng Li (Guangzhou) MSC: 35Q35 35A01 35D30 PDFBibTeX XMLCite \textit{M. Ersoy} and \textit{T. Ngom}, C. R., Math., Acad. Sci. Paris 350, No. 7--8, 379--382 (2012; Zbl 1253.35119) Full Text: DOI Link
Bourdarias, Christian; Ersoy, Mehmet; Gerbi, Stéphane A mathematical model for unsteady mixed flows in closed water pipes. (English) Zbl 1387.35484 Sci. China, Math. 55, No. 2, 221-244 (2012). MSC: 35Q35 35B35 35B40 76B15 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., Sci. China, Math. 55, No. 2, 221--244 (2012; Zbl 1387.35484) Full Text: DOI arXiv Link
Bourdarias, C.; Ersoy, M.; Gerbi, S. A kinetic scheme for transient mixed flows in non uniform closed pipes: A global manner to upwind all the source terms. (English) Zbl 1457.76105 J. Sci. Comput. 48, No. 1-3, 89-104 (2011). MSC: 76M12 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., J. Sci. Comput. 48, No. 1--3, 89--104 (2011; Zbl 1457.76105) Full Text: DOI arXiv Link
Ersoy, Mehmet; Ngom, Timack; Sy, Mamadou Compressible primitive equations: formal derivation and stability of weak solutions. (English) Zbl 1372.76032 Nonlinearity 24, No. 1, 79-96 (2011). MSC: 76D05 86A10 35Q35 35B35 76E20 PDFBibTeX XMLCite \textit{M. Ersoy} et al., Nonlinearity 24, No. 1, 79--96 (2011; Zbl 1372.76032) Full Text: DOI arXiv Link
Bourdarias, Christian; Ersoy, Mehmet; Gerbi, Stéphane A model for unsteady mixed flows in non uniform closed water pipes and a well-balanced finite volume scheme. (English) Zbl 1490.76143 Int. J. Finite Vol. 6, No. 2, Article ID hal-00342745, 47 p. (2009). MSC: 76M12 76B07 76B15 65M08 65M12 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., Int. J. Finite Vol. 6, No. 2, Article ID hal-00342745, 47 p. (2009; Zbl 1490.76143) Full Text: arXiv HAL
Bourdarias, C.; Ersoy, M.; Gerbi, S. A kinetic scheme for pressurised flows in non-uniform closed water pipes. (English) Zbl 1325.76126 Díaz, Jesús Ildefonso (ed.) et al., Maths and water. Selected papers based on the presentations at the international congress on mathematics and water, Zaragoza, Spain, May 19–21, 2008. Zaragoza: Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza 31, 1-20 (2009). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., in: Maths and water. Selected papers based on the presentations at the international congress on mathematics and water, Zaragoza, Spain, May 19--21, 2008. Zaragoza: Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. 1--20 (2009; Zbl 1325.76126) Full Text: arXiv
Ersoy, Mehmet A Construction of Biorthogonal Wavelets With a Compact Operator. arXiv:0811.4716 Preprint, arXiv:0811.4716 [math.AP] (2008). BibTeX Cite \textit{M. Ersoy}, ``A Construction of Biorthogonal Wavelets With a Compact Operator'', Preprint, arXiv:0811.4716 [math.AP] (2008) Full Text: arXiv OA License
Bourdarias, Christian; Ersoy, Mehmet; Gerbi, Stéphane A kinetic scheme for pressurized flows in non uniform pipes. arXiv:0812.0105 Preprint, arXiv:0812.0105 [math.AP] (2008). BibTeX Cite \textit{C. Bourdarias} et al., ``A kinetic scheme for pressurized flows in non uniform pipes'', Preprint, arXiv:0812.0105 [math.AP] (2008) Full Text: arXiv OA License