Cheng, Bin; Ju, Qiangchang; Schochet, Steve Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics. (English) Zbl 1473.35022 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 733-759 (2021). MSC: 35B25 35L45 35L60 35Q35 76W05 PDF BibTeX XML Cite \textit{B. Cheng} et al., ESAIM, Math. Model. Numer. Anal. 55, 733--759 (2021; Zbl 1473.35022) Full Text: DOI arXiv Link OpenURL
Schochet, Steven; Xu, Xin Moderately fast three-scale singular limits. (English) Zbl 1444.35018 SIAM J. Math. Anal. 52, No. 4, 3444-3462 (2020). MSC: 35B25 35L45 35L60 35Q35 PDF BibTeX XML Cite \textit{S. Schochet} and \textit{X. Xu}, SIAM J. Math. Anal. 52, No. 4, 3444--3462 (2020; Zbl 1444.35018) Full Text: DOI OpenURL
Pu, Xueke; Li, Min KDV limit of the hydromagnetic waves in cold plasma. (English) Zbl 1407.76183 Z. Angew. Math. Phys. 70, No. 1, Paper No. 32, 16 p. (2019). MSC: 76Y05 35B40 35C20 35Q35 PDF BibTeX XML Cite \textit{X. Pu} and \textit{M. Li}, Z. Angew. Math. Phys. 70, No. 1, Paper No. 32, 16 p. (2019; Zbl 1407.76183) Full Text: DOI OpenURL
Bianchini, Roberta; Natalini, Roberto The paradifferential approach to the local well-posedness of some problems in mixture theory in two space dimensions. (English) Zbl 07024451 Commun. Partial Differ. Equations 43, No. 7, 1051-1072 (2018). MSC: 35-XX 76-XX 81-XX PDF BibTeX XML Cite \textit{R. Bianchini} and \textit{R. Natalini}, Commun. Partial Differ. Equations 43, No. 7, 1051--1072 (2018; Zbl 07024451) Full Text: DOI OpenURL
Cheng, Bin; Ju, Qiangchang; Schochet, Steve Three-scale singular limits of evolutionary PDEs. (English) Zbl 1394.35351 Arch. Ration. Mech. Anal. 229, No. 2, 601-625 (2018). MSC: 35Q35 76W05 35B25 PDF BibTeX XML Cite \textit{B. Cheng} et al., Arch. Ration. Mech. Anal. 229, No. 2, 601--625 (2018; Zbl 1394.35351) Full Text: DOI arXiv OpenURL
Yang, Jianwei Quasi-neutral limit of Euler-Poisson system of compressible fluids coupled to a magnetic field. (English) Zbl 1394.35381 Z. Angew. Math. Phys. 69, No. 3, Paper No. 73, 12 p. (2018). MSC: 35Q35 35B25 35Q40 76W05 35B65 PDF BibTeX XML Cite \textit{J. Yang}, Z. Angew. Math. Phys. 69, No. 3, Paper No. 73, 12 p. (2018; Zbl 1394.35381) Full Text: DOI arXiv OpenURL
Bianchini, Roberta; Natalini, Roberto Well-posedness of a model of nonhomogeneous compressible-incompressible fluids. (English) Zbl 1377.35217 J. Hyperbolic Differ. Equ. 14, No. 3, 487-516 (2017). MSC: 35Q31 35Q35 76B03 35B25 PDF BibTeX XML Cite \textit{R. Bianchini} and \textit{R. Natalini}, J. Hyperbolic Differ. Equ. 14, No. 3, 487--516 (2017; Zbl 1377.35217) Full Text: DOI arXiv OpenURL
Even-Dar Mandel, L.; Schochet, S. Convergence of solutions to finite difference schemes for singular limits of nonlinear evolutionary PDEs. (English) Zbl 1368.65158 ESAIM, Math. Model. Numer. Anal. 51, No. 2, 587-614 (2017). Reviewer: Costică Moroşanu (Iaşi) MSC: 65M12 65M06 35B25 35K55 PDF BibTeX XML Cite \textit{L. Even-Dar Mandel} and \textit{S. Schochet}, ESAIM, Math. Model. Numer. Anal. 51, No. 2, 587--614 (2017; Zbl 1368.65158) Full Text: DOI OpenURL
Liu, Huimin; Pu, Xueke Long wavelength limit for the quantum Euler-Poisson equation. (English) Zbl 1348.35194 SIAM J. Math. Anal. 48, No. 4, 2345-2381 (2016). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q35 35Q40 PDF BibTeX XML Cite \textit{H. Liu} and \textit{X. Pu}, SIAM J. Math. Anal. 48, No. 4, 2345--2381 (2016; Zbl 1348.35194) Full Text: DOI arXiv OpenURL
Pu, Xueke; Guo, Boling Quasineutral limit of the pressureless Euler-Poisson equation for ions. (English) Zbl 1341.35125 Q. Appl. Math. 74, No. 2, 245-273 (2016). MSC: 35Q35 35B25 35C20 PDF BibTeX XML Cite \textit{X. Pu} and \textit{B. Guo}, Q. Appl. Math. 74, No. 2, 245--273 (2016; Zbl 1341.35125) Full Text: DOI arXiv OpenURL
Cheverry, Christophe Can one hear whistler waves? (English) Zbl 1333.35290 Commun. Math. Phys. 338, No. 2, 641-703 (2015). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q83 35Q60 82D10 PDF BibTeX XML Cite \textit{C. Cheverry}, Commun. Math. Phys. 338, No. 2, 641--703 (2015; Zbl 1333.35290) Full Text: DOI HAL OpenURL
Schochet, Steve Singular limits of symmetric hyperbolic systems with large variable-coefficient terms. (English) Zbl 1304.35053 Commun. Partial Differ. Equations 39, No. 5, 842-875 (2014). Reviewer: Rodica Luca (Iaşi) MSC: 35B25 35L45 PDF BibTeX XML Cite \textit{S. Schochet}, Commun. Partial Differ. Equations 39, No. 5, 842--875 (2014; Zbl 1304.35053) Full Text: DOI OpenURL
Guo, Yan; Pu, Xueke KdV limit of the Euler-Poisson system. (English) Zbl 1283.35110 Arch. Ration. Mech. Anal. 211, No. 2, 673-710 (2014). MSC: 35Q53 35Q82 82D10 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{X. Pu}, Arch. Ration. Mech. Anal. 211, No. 2, 673--710 (2014; Zbl 1283.35110) Full Text: DOI arXiv OpenURL
Lannes, David A stability criterion for two-fluid interfaces and applications. (English) Zbl 1278.35194 Arch. Ration. Mech. Anal. 208, No. 2, 481-567 (2013). MSC: 35Q35 76T99 35B35 76B15 PDF BibTeX XML Cite \textit{D. Lannes}, Arch. Ration. Mech. Anal. 208, No. 2, 481--567 (2013; Zbl 1278.35194) Full Text: DOI arXiv OpenURL
Wei, Zhiqiang; Yang, Jianwei On a quasi-neutral approximation of the incompressible Navier-Stokes equations. (English) Zbl 1264.76036 ISRN Appl. Math. 2012, Article ID 581710, 7 p. (2012). MSC: 76D05 35Q35 35B25 35Q30 PDF BibTeX XML Cite \textit{Z. Wei} and \textit{J. Yang}, ISRN Appl. Math. 2012, Article ID 581710, 7 p. (2012; Zbl 1264.76036) Full Text: DOI OpenURL
Yang, Jianwei; Wang, Hongli Convergence of a singular Euler-Maxwell approximation of the incompressible Euler equations. (English) Zbl 1235.76122 J. Appl. Math. 2011, Article ID 942024, 13 p. (2011). MSC: 76M25 35Q31 PDF BibTeX XML Cite \textit{J. Yang} and \textit{H. Wang}, J. Appl. Math. 2011, Article ID 942024, 13 p. (2011; Zbl 1235.76122) Full Text: DOI OpenURL
Han-Kwan, Daniel Quasineutral limit of the Vlasov-Poisson system with massless electrons. (English) Zbl 1228.35251 Commun. Partial Differ. Equations 36, No. 7-9, 1385-1425 (2011). MSC: 35Q83 82D10 76N15 35Q35 PDF BibTeX XML Cite \textit{D. Han-Kwan}, Commun. Partial Differ. Equations 36, No. 7--9, 1385--1425 (2011; Zbl 1228.35251) Full Text: DOI arXiv OpenURL
Wang, Shu; Yang, Jianwei; Luo, Dang Convergence of compressible Euler-Poisson system to incompressible Euler equations. (English) Zbl 1425.35165 Appl. Math. Comput. 216, No. 11, 3408-3418 (2010). MSC: 35Q35 35Q31 PDF BibTeX XML Cite \textit{S. Wang} et al., Appl. Math. Comput. 216, No. 11, 3408--3418 (2010; Zbl 1425.35165) Full Text: DOI OpenURL
Dutrifoy, Alexandre; Majda, Andrew J.; Schochet, Steven A simple justification of the singular limit for equatorial shallow-water dynamics. (English) Zbl 1156.76013 Commun. Pure Appl. Math. 62, No. 3, 322-333 (2009). MSC: 76B15 35Q35 PDF BibTeX XML Cite \textit{A. Dutrifoy} et al., Commun. Pure Appl. Math. 62, No. 3, 322--333 (2009; Zbl 1156.76013) Full Text: DOI OpenURL
Donatelli, Donatella; Trivisa, Konstantina From the dynamics of gaseous stars to the incompressible Euler equations. (English) Zbl 1157.35064 J. Differ. Equations 245, No. 5, 1356-1385 (2008). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35L65 76N10 35B45 85A30 PDF BibTeX XML Cite \textit{D. Donatelli} and \textit{K. Trivisa}, J. Differ. Equations 245, No. 5, 1356--1385 (2008; Zbl 1157.35064) Full Text: DOI OpenURL
Texier, Benjamin Derivation of the Zakharov equations. (English) Zbl 1370.35249 Arch. Ration. Mech. Anal. 184, No. 1, 121-183 (2007). MSC: 35Q60 35L60 35B25 35S05 76F99 76X05 PDF BibTeX XML Cite \textit{B. Texier}, Arch. Ration. Mech. Anal. 184, No. 1, 121--183 (2007; Zbl 1370.35249) Full Text: DOI arXiv OpenURL
Wang, Shu; Jiang, Song The convergence of the Navier-Stokes-Poisson system to the incompressible Euler equations. (English) Zbl 1137.35416 Commun. Partial Differ. Equations 31, No. 4-6, 571-591 (2006). Reviewer: Georg V. Jaiani (Tbilisi) MSC: 35Q31 35Q05 76X05 PDF BibTeX XML Cite \textit{S. Wang} and \textit{S. Jiang}, Commun. Partial Differ. Equations 31, No. 4--6, 571--591 (2006; Zbl 1137.35416) Full Text: DOI OpenURL
Lannes, David Sharp estimates for pseudo-differential operators with symbols of limited smoothness and commutators. (English) Zbl 1099.35191 J. Funct. Anal. 232, No. 2, 495-539 (2006). Reviewer: René L. Schilling (Marburg) MSC: 35S05 35S50 47G30 47A30 PDF BibTeX XML Cite \textit{D. Lannes}, J. Funct. Anal. 232, No. 2, 495--539 (2006; Zbl 1099.35191) Full Text: DOI arXiv OpenURL
Loeper, Grégoire Quasi-neutral limit of the Euler-Poisson and Euler-Monge-Ampère systems. (English) Zbl 1077.76072 Commun. Partial Differ. Equations 30, No. 8, 1141-1167 (2005). MSC: 76X05 35Q35 35Q60 PDF BibTeX XML Cite \textit{G. Loeper}, Commun. Partial Differ. Equations 30, No. 8, 1141--1167 (2005; Zbl 1077.76072) Full Text: DOI arXiv OpenURL
Wang, Shu Quasineutral limit of Euler-Poisson system with and without viscosity. (English) Zbl 1140.35551 Commun. Partial Differ. Equations 29, No. 3-4, 419-456 (2004). Reviewer: Oleg Titow (Berlin) MSC: 35Q35 76X05 76Y05 PDF BibTeX XML Cite \textit{S. Wang}, Commun. Partial Differ. Equations 29, No. 3--4, 419--456 (2004; Zbl 1140.35551) Full Text: DOI OpenURL
Golse, F.; Saint-Raymond, L. The Vlasov-Poisson system with strong magnetic field in quasineutral regime. (English) Zbl 1053.82032 Math. Models Methods Appl. Sci. 13, No. 5, 661-714 (2003). MSC: 82D10 35F25 35L60 35Q60 76X05 35Q99 PDF BibTeX XML Cite \textit{F. Golse} and \textit{L. Saint-Raymond}, Math. Models Methods Appl. Sci. 13, No. 5, 661--714 (2003; Zbl 1053.82032) Full Text: DOI OpenURL
Saint-Raymond, Laure From the BGK model to the Navier-Stokes equations. (English) Zbl 1067.76078 Ann. Sci. Éc. Norm. Supér. (4) 36, No. 2, 271-317 (2003). MSC: 76P05 76D03 35Q30 PDF BibTeX XML Cite \textit{L. Saint-Raymond}, Ann. Sci. Éc. Norm. Supér. (4) 36, No. 2, 271--317 (2003; Zbl 1067.76078) Full Text: DOI Numdam EuDML OpenURL
Jüngel, Ansgar; Wang, Shu Convergence of Schrödinger-Poisson systems to the compressible Euler equations. (English) Zbl 1044.35090 Commun. Partial Differ. Equations 28, No. 5-6, 1005-1022 (2003). MSC: 35Q55 76Y05 76N10 35Q35 PDF BibTeX XML Cite \textit{A. Jüngel} and \textit{S. Wang}, Commun. Partial Differ. Equations 28, No. 5--6, 1005--1022 (2003; Zbl 1044.35090) Full Text: DOI OpenURL
Frénod, E.; Raviart, P.-A.; Sonnendrücker, E. Two-scale expansion of a singularly perturbed convection equation. (English) Zbl 1032.35026 J. Math. Pures Appl., IX. Sér. 80, No. 8, 815-843 (2001). Reviewer: Daniel Ševčovič (Bratislava) MSC: 35B25 35F20 35Q60 PDF BibTeX XML Cite \textit{E. Frénod} et al., J. Math. Pures Appl. (9) 80, No. 8, 815--843 (2001; Zbl 1032.35026) Full Text: DOI OpenURL
Saint-Raymond, L. The gyrokinetic approximation for the Vlasov-Poisson system. (English) Zbl 1174.82340 Math. Models Methods Appl. Sci. 10, No. 9, 1305-1332 (2000). MSC: 82D10 35Q60 PDF BibTeX XML Cite \textit{L. Saint-Raymond}, Math. Models Methods Appl. Sci. 10, No. 9, 1305--1332 (2000; Zbl 1174.82340) Full Text: DOI OpenURL
Saint-Raymond, L. The gyrokinetic approximation for the Vlasov-Poisson system. (English) Zbl 0965.35130 Math. Models Methods Appl. Sci. 10, No. 9, 1305-1332 (2000). Reviewer: Markus Kunze (Essen) MSC: 35Q35 76W05 82D10 PDF BibTeX XML Cite \textit{L. Saint-Raymond}, Math. Models Methods Appl. Sci. 10, No. 9, 1305--1332 (2000; Zbl 0965.35130) Full Text: DOI OpenURL
Cordier, Stéphane; Grenier, Emmanuel Quasineutral limit of an Euler-Poisson system arising from plasma physics. (English) Zbl 0978.82086 Commun. Partial Differ. Equations 25, No. 5-6, 1099-1113 (2000). MSC: 82D10 76X05 35Q35 PDF BibTeX XML Cite \textit{S. Cordier} and \textit{E. Grenier}, Commun. Partial Differ. Equations 25, No. 5--6, 1099--1113 (2000; Zbl 0978.82086) Full Text: DOI OpenURL
Brenier, Y. Convergence of the Vlasov-Poisson system to the incompressible Euler equations. (English) Zbl 0970.35110 Commun. Partial Differ. Equations 25, No. 3-4, 737-754 (2000). Reviewer: Georg V.Jaiani (Tbilisi) MSC: 35Q35 35Q05 76X05 PDF BibTeX XML Cite \textit{Y. Brenier}, Commun. Partial Differ. Equations 25, No. 3--4, 737--754 (2000; Zbl 0970.35110) Full Text: DOI OpenURL
Luo, Tao; Natalini, Roberto; Yang, Tong Global BV solutions to a \(p\)-system with relaxation. (English) Zbl 0957.35110 J. Differ. Equations 162, No. 1, 174-198 (2000). Reviewer: Thomas Sonar (Braunschweig) MSC: 35Q35 35D05 PDF BibTeX XML Cite \textit{T. Luo} et al., J. Differ. Equations 162, No. 1, 174--198 (2000; Zbl 0957.35110) Full Text: DOI OpenURL
Brenier, Yann Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations. (English) Zbl 0910.35098 Commun. Pure Appl. Math. 52, No. 4, 411-452 (1999). Reviewer: Y.Brenier (Paris) MSC: 35Q35 76B99 PDF BibTeX XML Full Text: DOI OpenURL