Feireisl, Eduard; Petcu, Mădălina; She, Bangwei A model of a nonisothermal two-phase flow of compressible fluids. (English) Zbl 07780272 Math. Methods Appl. Sci. 46, No. 8, 9362-9377 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 76N10 76T06 35A01 35D30 80A19 35B65 PDFBibTeX XMLCite \textit{E. Feireisl} et al., Math. Methods Appl. Sci. 46, No. 8, 9362--9377 (2023; Zbl 07780272) Full Text: DOI arXiv
Feireisl, Eduard; Petcu, Mădălina; She, Bangwei An entropy stable finite volume method for a compressible two phase model. (English) Zbl 07729507 Appl. Math., Praha 68, No. 4, 467-483 (2023). MSC: 65M12 76N06 76Txx PDFBibTeX XMLCite \textit{E. Feireisl} et al., Appl. Math., Praha 68, No. 4, 467--483 (2023; Zbl 07729507) Full Text: DOI
El Khatib, Nader; Makki, Ahmad; Petcu, Madalina A splitting method for the Allen-Cahn/Cahn-Hilliard system coupled with heat equation based on Maxwell-Cattaneo law. (English) Zbl 07680340 Appl. Math. Optim. 88, No. 1, Paper No. 17, 31 p. (2023). MSC: 65M60 65N30 65M12 65M15 80A10 80A22 35B40 35Q79 PDFBibTeX XMLCite \textit{N. El Khatib} et al., Appl. Math. Optim. 88, No. 1, Paper No. 17, 31 p. (2023; Zbl 07680340) Full Text: DOI
Makki, Ahmad; Miranville, Alain; Petcu, Madalina A numerical analysis of the coupled Cahn-Hilliard/Allen-Cahn system with dynamic boundary conditions. (English) Zbl 1513.65375 Int. J. Numer. Anal. Model. 19, No. 5, 630-655 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 PDFBibTeX XMLCite \textit{A. Makki} et al., Int. J. Numer. Anal. Model. 19, No. 5, 630--655 (2022; Zbl 1513.65375) Full Text: Link
Makki, Ahmad; Miranville, Alain; Petcu, Madalina The coupled Cahn-Hilliard/Allen-Cahn system with dynamic boundary conditions. (English) Zbl 1504.35514 Asymptotic Anal. 128, No. 2, 183-209 (2022). MSC: 35Q56 35R09 35B41 35A01 35A02 28A80 PDFBibTeX XMLCite \textit{A. Makki} et al., Asymptotic Anal. 128, No. 2, 183--209 (2022; Zbl 1504.35514) Full Text: DOI
Feireisl, Eduard; Petcu, Mădălina; She, Bangwei Numerical analysis of a model of two phase compressible fluid flow. (English) Zbl 1489.35183 J. Sci. Comput. 89, No. 1, Paper No. 14, 32 p. (2021). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 76N06 76N10 35D30 35D35 65M60 65M06 65N30 65M12 76M10 PDFBibTeX XMLCite \textit{E. Feireisl} et al., J. Sci. Comput. 89, No. 1, Paper No. 14, 32 p. (2021; Zbl 1489.35183) Full Text: DOI arXiv
Feireisl, Eduard; Petcu, Madalina A diffuse interface model of a two-phase flow with thermal fluctuations. (English) Zbl 1473.60097 Appl. Math. Optim. 83, No. 1, 531-563 (2021). Reviewer: Martin Ondreját (Praha) MSC: 60H15 35Q30 PDFBibTeX XMLCite \textit{E. Feireisl} and \textit{M. Petcu}, Appl. Math. Optim. 83, No. 1, 531--563 (2021; Zbl 1473.60097) Full Text: DOI arXiv
Cherfils, Laurence; Petcu, Madalina Energy stable numerical scheme for the viscous Cahn-Hilliard-Navier-Stokes equations with moving contact line. (English) Zbl 1418.65124 Numer. Methods Partial Differ. Equations 35, No. 3, 1113-1133 (2019). MSC: 65M60 65M06 65N30 35Q35 35R37 65M12 PDFBibTeX XMLCite \textit{L. Cherfils} and \textit{M. Petcu}, Numer. Methods Partial Differ. Equations 35, No. 3, 1113--1133 (2019; Zbl 1418.65124) Full Text: DOI
Feireisl, Eduard; Petcu, Madalina; Pražák, Dalibor Relative energy approach to a diffuse interface model of a compressible two-phase flow. (English) Zbl 1420.35185 Math. Methods Appl. Sci. 42, No. 5, 1465-1479 (2019). MSC: 35Q30 35A02 35D30 35D35 76N10 74F10 76T99 74B10 PDFBibTeX XMLCite \textit{E. Feireisl} et al., Math. Methods Appl. Sci. 42, No. 5, 1465--1479 (2019; Zbl 1420.35185) Full Text: DOI
Feireisl, Eduard; Petcu, Madalina Stability of strong solutions for a model of incompressible two-phase flow under thermal fluctuations. (English) Zbl 1416.35204 J. Differ. Equations 267, No. 3, 1836-1858 (2019). MSC: 35Q35 35R60 76D05 35A02 PDFBibTeX XMLCite \textit{E. Feireisl} and \textit{M. Petcu}, J. Differ. Equations 267, No. 3, 1836--1858 (2019; Zbl 1416.35204) Full Text: DOI
Gander, Martin J.; Güttel, Stefan; Petcu, Madalina A nonlinear ParaExp algorithm. (English) Zbl 1443.65094 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 261-270 (2018). MSC: 65L05 65Y05 65F60 65F10 PDFBibTeX XMLCite \textit{M. J. Gander} et al., Lect. Notes Comput. Sci. Eng. 125, 261--270 (2018; Zbl 1443.65094) Full Text: DOI Link
Chehab, Jean-Paul; Petcu, Madalina Parallel matrix function evaluation via initial value ODE modeling. (English) Zbl 1443.34052 Comput. Math. Appl. 72, No. 1, 76-91 (2016). MSC: 34D20 65Y05 PDFBibTeX XMLCite \textit{J.-P. Chehab} and \textit{M. Petcu}, Comput. Math. Appl. 72, No. 1, 76--91 (2016; Zbl 1443.34052) Full Text: DOI arXiv
Petcu, Madalina; Temam, Roger; Wirosoetisno, Djoko Averaging method applied to the three-dimensional primitive equations. (English) Zbl 1354.35111 Discrete Contin. Dyn. Syst. 36, No. 10, 5681-5707 (2016). MSC: 35Q35 35C20 76D50 76B65 35Q86 86A05 PDFBibTeX XMLCite \textit{M. Petcu} et al., Discrete Contin. Dyn. Syst. 36, No. 10, 5681--5707 (2016; Zbl 1354.35111) Full Text: DOI
Cherfils, Laurence; Petcu, Madalina On the viscous Cahn-Hilliard-Navier-Stokes equations with dynamic boundary conditions. (English) Zbl 1348.65140 Commun. Pure Appl. Anal. 15, No. 4, 1419-1449 (2016). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{L. Cherfils} and \textit{M. Petcu}, Commun. Pure Appl. Anal. 15, No. 4, 1419--1449 (2016; Zbl 1348.65140) Full Text: DOI
Huang, Aimin; Petcu, Madalina; Temam, Roger The nonlinear 2D supercritical inviscid shallow water equations in a rectangle. (English) Zbl 1326.35275 Asymptotic Anal. 93, No. 3, 187-218 (2015). MSC: 35Q35 76B03 76B15 35A01 35B65 PDFBibTeX XMLCite \textit{A. Huang} et al., Asymptotic Anal. 93, No. 3, 187--218 (2015; Zbl 1326.35275) Full Text: DOI arXiv
Israel, Haydi; Miranville, Alain; Petcu, Madalina Numerical analysis of a Cahn-Hilliard type equation with dynamic boundary conditions. (English) Zbl 1320.65142 Ric. Mat. 64, No. 1, 25-50 (2015). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M60 65M12 65M15 35Q35 PDFBibTeX XMLCite \textit{H. Israel} et al., Ric. Mat. 64, No. 1, 25--50 (2015; Zbl 1320.65142) Full Text: DOI
Cherfils, Laurence; Petcu, Madalina A numerical analysis of the Cahn-Hilliard equation with non-permeable walls. (English) Zbl 1325.65133 Numer. Math. 128, No. 3, 517-549 (2014). Reviewer: Petr Sváček (Praha) MSC: 65M20 65M60 65M12 65M15 35Q35 PDFBibTeX XMLCite \textit{L. Cherfils} and \textit{M. Petcu}, Numer. Math. 128, No. 3, 517--549 (2014; Zbl 1325.65133) Full Text: DOI
Bousquet, Arthur; Petcu, Madalina; Shiue, Ming-Cheng; Temam, Roger; Tribbia, Joseph Boundary conditions for limited area models based on the shallow water equations. (English) Zbl 1373.35232 Commun. Comput. Phys. 14, No. 3, 664-702 (2013). MSC: 35Q35 65M08 76B15 86A05 86A10 PDFBibTeX XMLCite \textit{A. Bousquet} et al., Commun. Comput. Phys. 14, No. 3, 664--702 (2013; Zbl 1373.35232) Full Text: DOI
Bousquet, Arthur; Marion, Martine; Petcu, Madalina; Temam, Roger Multilevel finite volume methods and boundary conditions for geophysical flows. (English) Zbl 1365.76140 Comput. Fluids 74, 66-90 (2013). MSC: 76M12 76B15 86A05 65M08 PDFBibTeX XMLCite \textit{A. Bousquet} et al., Comput. Fluids 74, 66--90 (2013; Zbl 1365.76140) Full Text: DOI
Petcu, Madalina; Temam, Roger An interface problem: the two-layer shallow water equations. (English) Zbl 1277.35242 Discrete Contin. Dyn. Syst. 33, No. 11-12, 5327-5345 (2013). MSC: 35L50 35L60 35L65 35Q35 PDFBibTeX XMLCite \textit{M. Petcu} and \textit{R. Temam}, Discrete Contin. Dyn. Syst. 33, No. 11--12, 5327--5345 (2013; Zbl 1277.35242) Full Text: DOI
Petcu, Madalina; Temam, Roger The one-dimensional shallow water equations with transparent boundary conditions. (English) Zbl 1277.35241 Math. Methods Appl. Sci. 36, No. 15, 1979-1994 (2013). MSC: 35L50 35L60 35L65 35Q35 PDFBibTeX XMLCite \textit{M. Petcu} and \textit{R. Temam}, Math. Methods Appl. Sci. 36, No. 15, 1979--1994 (2013; Zbl 1277.35241) Full Text: DOI
Israel, Haydi; Miranville, Alain; Petcu, Madalina Well-posedness and long time behavior of a perturbed Cahn-Hilliard system with regular potentials. (English) Zbl 1295.35113 Asymptotic Anal. 84, No. 3-4, 147-179 (2013). Reviewer: Dirk Blömker (Augsburg) MSC: 35B41 35K58 37L65 37B25 37L30 35K35 PDFBibTeX XMLCite \textit{H. Israel} et al., Asymptotic Anal. 84, No. 3--4, 147--179 (2013; Zbl 1295.35113) Full Text: DOI
Petcu, Madalina Exponential decay of the power spectrum and finite dimensionality for solutions of the three dimensional primitive equations. (English) Zbl 1332.76067 Numer. Math. 120, No. 1, 89-116 (2012). MSC: 76U05 35Q86 76F20 35B40 35Q35 PDFBibTeX XMLCite \textit{M. Petcu}, Numer. Math. 120, No. 1, 89--116 (2012; Zbl 1332.76067) Full Text: DOI
Faure, S.; Petcu, M.; Temam, R.; Tribbia, J. On the inaccuracies of some finite volume discrtizations of the linearized shallow water problem. (English) Zbl 1426.76361 Int. J. Numer. Anal. Model. 8, No. 3, 518-541 (2011). MSC: 76M12 76B15 PDFBibTeX XMLCite \textit{S. Faure} et al., Int. J. Numer. Anal. Model. 8, No. 3, 518--541 (2011; Zbl 1426.76361) Full Text: Link
Huang, Aimin; Petcu, Mădălina; Temam, Roger The one-dimensional supercritical Shallow Water Equations with topography. (English) Zbl 1249.35213 Ann. Univ. Buchar., Math. Ser. 2(60), No. 1, 63-82 (2011). MSC: 35L60 35L65 35Q35 PDFBibTeX XMLCite \textit{A. Huang} et al., Ann. Univ. Buchar., Math. Ser. 2(60), No. 1, 63--82 (2011; Zbl 1249.35213)
Jung, Chang-Yeol; Petcu, Madalina; Temam, Roger Singular perturbation analysis on a homogeneous ocean circulation model. (English) Zbl 1229.76091 Anal. Appl., Singap. 9, No. 3, 275-313 (2011). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76N20 35Q30 PDFBibTeX XMLCite \textit{C.-Y. Jung} et al., Anal. Appl., Singap. 9, No. 3, 275--313 (2011; Zbl 1229.76091) Full Text: DOI
Petcu, Madalina; Temam, Roger The one dimensional shallow water equations with Dirichlet boundary conditions on the velocity. (English) Zbl 1219.35003 Discrete Contin. Dyn. Syst., Ser. S 4, No. 1, 209-222 (2011). Reviewer: Svetlana A. Grishina (Ul’yanovsk) MSC: 35A01 35A02 35B45 35Q35 PDFBibTeX XMLCite \textit{M. Petcu} and \textit{R. Temam}, Discrete Contin. Dyn. Syst., Ser. S 4, No. 1, 209--222 (2011; Zbl 1219.35003) Full Text: DOI
Lucas, Carine; Petcu, Madalina; Rousseau, Antoine Quasi-hydrostatic primitive equations for ocean global circulation models. (English) Zbl 1359.76322 Chin. Ann. Math., Ser. B 31, No. 6, 939-952 (2010). MSC: 76U05 35Q35 76B03 86A05 PDFBibTeX XMLCite \textit{C. Lucas} et al., Chin. Ann. Math., Ser. B 31, No. 6, 939--952 (2010; Zbl 1359.76322) Full Text: DOI HAL
Cherfils, Laurence; Petcu, Madalina; Pierre, Morgan A numerical analysis of the Cahn-Hilliard equation with dynamic boundary conditions. (English) Zbl 1204.65113 Discrete Contin. Dyn. Syst. 27, No. 4, 1511-1533 (2010). Reviewer: Dinh Nho Hao (Hanoi) MSC: 65M20 65M12 65M60 65M06 35Q35 65M15 PDFBibTeX XMLCite \textit{L. Cherfils} et al., Discrete Contin. Dyn. Syst. 27, No. 4, 1511--1533 (2010; Zbl 1204.65113) Full Text: DOI
Gander, M.; Petcu, M. Analysis of a Krylov subspace enhanced parareal algorithm for linear problems. (English) Zbl 1156.65322 ESAIM, Proc. 25, 114-129 (2008). MSC: 65Y05 68W10 PDFBibTeX XMLCite \textit{M. Gander} and \textit{M. Petcu}, ESAIM, Proc. 25, 114--129 (2008; Zbl 1156.65322) Full Text: DOI
Gander, M.; Petcu, M. Analysis of a modified parareal algorithm for second-order ordinary differential equations. (English) Zbl 1152.65336 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference of numerical analysis and applied mathematics, Corfu, Greece, 16–20 September 2007. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0447-2/hbk). AIP Conference Proceedings 936, 233-236 (2007). MSC: 65-XX PDFBibTeX XMLCite \textit{M. Gander} and \textit{M. Petcu}, AIP Conf. Proc. 936, 233--236 (2007; Zbl 1152.65336) Full Text: DOI Link
Ewald, B.; Petcu, M.; Temam, R. Stochastic solutions of the two-dimensional primitive equations of the ocean and atmosphere with an additive noise. (English) Zbl 1126.35040 Anal. Appl., Singap. 5, No. 2, 183-198 (2007). Reviewer: Iulian Stoleriu (Heidelberg) MSC: 35Q30 60H15 86A05 76M35 35Q35 PDFBibTeX XMLCite \textit{B. Ewald} et al., Anal. Appl., Singap. 5, No. 2, 183--198 (2007; Zbl 1126.35040) Full Text: DOI
Petcu, Madalina On the backward uniqueness of the primitive equations. (English) Zbl 1168.35039 J. Math. Pures Appl. (9) 87, No. 3, 275-289 (2007). MSC: 35Q35 76D03 76U05 86A05 PDFBibTeX XMLCite \textit{M. Petcu}, J. Math. Pures Appl. (9) 87, No. 3, 275--289 (2007; Zbl 1168.35039) Full Text: DOI
Petcu, Madalina Euler equation in a 3D channel with a noncharacteristic boundary. (English) Zbl 1212.35057 Differ. Integral Equ. 19, No. 3, 297-326 (2006). MSC: 35F30 35Q35 PDFBibTeX XMLCite \textit{M. Petcu}, Differ. Integral Equ. 19, No. 3, 297--326 (2006; Zbl 1212.35057)
Petcu, Madalina On the three-dimensional primitive equations. (English) Zbl 1145.35350 Adv. Differ. Equ. 11, No. 11, 1201-1226 (2006). MSC: 35B45 35B65 35Q35 76U05 PDFBibTeX XMLCite \textit{M. Petcu}, Adv. Differ. Equ. 11, No. 11, 1201--1226 (2006; Zbl 1145.35350)
Petcu, M.; Rousseau, A. Numerical time schemes for an ocean-related system of PDEs. (English) Zbl 1190.65135 Numer. Methods Partial Differ. Equations 22, No. 1, 32-47 (2006). MSC: 65M12 76M25 86-08 86A05 76U05 PDFBibTeX XMLCite \textit{M. Petcu} and \textit{A. Rousseau}, Numer. Methods Partial Differ. Equations 22, No. 1, 32--47 (2006; Zbl 1190.65135) Full Text: DOI Link
Petcu, M.; Rousseau, A. On the \(\delta\)-primitive and Boussinesq type equations. (English) Zbl 1184.35261 Adv. Differ. Equ. 10, No. 5, 579-599 (2005). Reviewer: Oleg Titow (Berlin) MSC: 35Q35 76U05 86A05 PDFBibTeX XMLCite \textit{M. Petcu} and \textit{A. Rousseau}, Adv. Differ. Equ. 10, No. 5, 579--599 (2005; Zbl 1184.35261)
Petcu, M.; Wirosoetisno, D. Sobolev and Gevrey regularity results for the primitive equations in three space dimensions. (English) Zbl 1078.35029 Appl. Anal. 84, No. 8, 769-788 (2005). MSC: 35B65 35Q35 76D03 PDFBibTeX XMLCite \textit{M. Petcu} and \textit{D. Wirosoetisno}, Appl. Anal. 84, No. 8, 769--788 (2005; Zbl 1078.35029) Full Text: DOI
Petcu, M. Euler equation in a channel in space dimension 2 and 3. (English) Zbl 1088.35052 Discrete Contin. Dyn. Syst. 13, No. 3, 755-778 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35Q35 76B03 35Q05 PDFBibTeX XMLCite \textit{M. Petcu}, Discrete Contin. Dyn. Syst. 13, No. 3, 755--778 (2005; Zbl 1088.35052) Full Text: DOI
Petcu, M.; Temam, R.; Wirosoetisno, D. Renormalization group method applied to the primitive equations. (English) Zbl 1080.35090 J. Differ. Equations 208, No. 1, 215-257 (2005). Reviewer: Constantin Corduneanu (Arlington) MSC: 35Q35 76D03 35C20 76D50 86A05 86A10 PDFBibTeX XMLCite \textit{M. Petcu} et al., J. Differ. Equations 208, No. 1, 215--257 (2005; Zbl 1080.35090) Full Text: DOI
Petcu, Madalina; Temam, Roger Control for the sine-Gordon equation. (English) Zbl 1087.49004 ESAIM, Control Optim. Calc. Var. 10, 553-573 (2004). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 49J20 35L70 35Q53 49J50 49K20 PDFBibTeX XMLCite \textit{M. Petcu} and \textit{R. Temam}, ESAIM, Control Optim. Calc. Var. 10, 553--573 (2004; Zbl 1087.49004) Full Text: DOI Numdam EuDML
Petcu, M. Gevrey class regularity for the primitive equations in space dimension 2. (English) Zbl 1064.35028 Asymptotic Anal. 39, No. 1, 1-13 (2004). MSC: 35B65 35Q35 76D03 76U05 86A05 86A10 PDFBibTeX XMLCite \textit{M. Petcu}, Asymptotic Anal. 39, No. 1, 1--13 (2004; Zbl 1064.35028) Full Text: Link
Petcu, M.; Temam, R.; Wirosoetisno, D. Existence and regularity results for the primitive equations in two space dimensions. (English) Zbl 1060.35033 Commun. Pure Appl. Anal. 3, No. 1, 115-131 (2004). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35B65 35Q35 35J20 86A05 PDFBibTeX XMLCite \textit{M. Petcu} et al., Commun. Pure Appl. Anal. 3, No. 1, 115--131 (2004; Zbl 1060.35033) Full Text: DOI