Bardos, Claude; Titi, Edriss S.; Wiedemann, Emil Onsager’s conjecture with physical boundaries and an application to the vanishing viscosity limit. (English) Zbl 1420.35203 Commun. Math. Phys. 370, No. 1, 291-310 (2019). MSC: 35Q31 76D10 35B65 PDF BibTeX XML Cite \textit{C. Bardos} et al., Commun. Math. Phys. 370, No. 1, 291--310 (2019; Zbl 1420.35203) Full Text: DOI arXiv OpenURL
Bardos, Claude; Gwiazda, Piotr; Świerczewska-Gwiazda, Agnieszka; Titi, Edriss S.; Wiedemann, Emil On the extension of Onsager’s conjecture for general conservation laws. (English) Zbl 1420.35202 J. Nonlinear Sci. 29, No. 2, 501-510 (2019). MSC: 35Q31 35B33 76D05 PDF BibTeX XML Cite \textit{C. Bardos} et al., J. Nonlinear Sci. 29, No. 2, 501--510 (2019; Zbl 1420.35202) Full Text: DOI arXiv OpenURL
Bardos, Claude Remarks on recent advances concerning boundary effects and the vanishing viscosity limit on the Navier-Stokes equations. (English) Zbl 1408.35117 Fefferman, Charles L. (ed.) et al., Partial differential equations in fluid mechanics. Based on the workshop “PDEs in Fluid Mechanics”, Warwick, UK, September 26–30, 2016. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 452, 1-19 (2018). MSC: 35Q30 35B25 76D05 35B65 76B03 76D10 PDF BibTeX XML Cite \textit{C. Bardos}, Lond. Math. Soc. Lect. Note Ser. 452, 1--19 (2018; Zbl 1408.35117) OpenURL
Bardos, Claude Proof of the Onsager conjecture in a bounded domain. (Preuve de la conjecture d’Onsager dans un domaine borné.) (French. English summary) Zbl 1397.35188 Dogbe, Christian (ed.), Actes du colloque “EDP-Normandie”, Caen, France, Octobre 25–26, 2017. [s.l.]: Fédération Normandie-Mathématiques (ISBN 978-2-9541221-4-4/pbk). Normandie-Mathématiques, 1-9 (2018). MSC: 35Q31 PDF BibTeX XML Cite \textit{C. Bardos}, in: Actes du colloque ``EDP-Normandie'', Caen, France, Octobre 25--26, 2017. [s.l.]: Fédération Normandie-Mathématiques. 1--9 (2018; Zbl 1397.35188) OpenURL
Bardos, Claude; Titi, Edriss S. Onsager’s conjecture for the incompressible Euler equations in bounded domains. (English) Zbl 1390.35241 Arch. Ration. Mech. Anal. 228, No. 1, 197-207 (2018). MSC: 35Q31 76D05 PDF BibTeX XML Cite \textit{C. Bardos} and \textit{E. S. Titi}, Arch. Ration. Mech. Anal. 228, No. 1, 197--207 (2018; Zbl 1390.35241) Full Text: DOI arXiv OpenURL
Bardos, Claude; Tadmor, Eitan Stability and spectral convergence of Fourier method for nonlinear problems: on the shortcomings of the \(2/3\) de-aliasing method. (English) Zbl 1310.76123 Numer. Math. 129, No. 4, 749-782 (2015). MSC: 76M22 65M70 65M12 35L65 35Q31 PDF BibTeX XML Cite \textit{C. Bardos} and \textit{E. Tadmor}, Numer. Math. 129, No. 4, 749--782 (2015; Zbl 1310.76123) Full Text: DOI arXiv OpenURL
Bardos, C.; Székelyhidi, L. jun.; Wiedemann, E. Non-uniqueness for the Euler equations: the effect of the boundary. (English. Russian original) Zbl 1301.35097 Russ. Math. Surv. 69, No. 2, 189-207 (2014); translation from Usp. Mat. Nauk 69, No. 2, 3-22 (2014). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q31 35D30 35Q35 76B03 PDF BibTeX XML Cite \textit{C. Bardos} et al., Russ. Math. Surv. 69, No. 2, 189--207 (2014; Zbl 1301.35097); translation from Usp. Mat. Nauk 69, No. 2, 3--22 (2014) Full Text: DOI arXiv OpenURL
Bardos, Claude; Di Plinio, Francesco; Temam, Roger The Euler equations in planar nonsmooth convex domains. (English) Zbl 1306.35135 J. Math. Anal. Appl. 407, No. 1, 69-89 (2013). MSC: 35Q86 35Q31 86A05 86A10 PDF BibTeX XML Cite \textit{C. Bardos} et al., J. Math. Anal. Appl. 407, No. 1, 69--89 (2013; Zbl 1306.35135) Full Text: DOI arXiv OpenURL
Bardos, C.; Lopes Filho, M. C.; Niu, Dongjuan; Nussenzveig Lopes, H. J.; Titi, E. S. Stability of two-dimensional viscous incompressible flows under three-dimensional perturbations and inviscid symmetry breaking. (English) Zbl 1291.35207 SIAM J. Math. Anal. 45, No. 3, 1871-1885 (2013). MSC: 35Q35 65M70 PDF BibTeX XML Cite \textit{C. Bardos} et al., SIAM J. Math. Anal. 45, No. 3, 1871--1885 (2013; Zbl 1291.35207) Full Text: DOI arXiv OpenURL
Bardos, Claude; Golse, François; Paillard, Lionel The incompressible Euler limit of the Boltzmann equation with accommodation boundary condition. (English) Zbl 1291.35169 Commun. Math. Sci. 10, No. 1, 159-190 (2012). MSC: 35Q30 76D05 82B40 76B99 PDF BibTeX XML Cite \textit{C. Bardos} et al., Commun. Math. Sci. 10, No. 1, 159--190 (2012; Zbl 1291.35169) Full Text: DOI arXiv OpenURL
Bardos, Claude; Titi, Edriss S.; Wiedemann, Emil The vanishing viscosity as a selection principle for the Euler equations: the case of 3D shear flow. (English. French summary) Zbl 1253.35107 C. R., Math., Acad. Sci. Paris 350, No. 15-16, 757-760 (2012). MSC: 35Q31 35D30 35Q30 76F10 PDF BibTeX XML Cite \textit{C. Bardos} et al., C. R., Math., Acad. Sci. Paris 350, No. 15--16, 757--760 (2012; Zbl 1253.35107) Full Text: DOI arXiv OpenURL
Bardos, Claude; Titi, E. S. Loss of smoothness and energy conserving rough weak solutions for the \(3d\) Euler equations. (English) Zbl 1191.76057 Discrete Contin. Dyn. Syst., Ser. S 3, No. 2, 185-197 (2010). MSC: 76F02 76B03 PDF BibTeX XML Cite \textit{C. Bardos} and \textit{E. S. Titi}, Discrete Contin. Dyn. Syst., Ser. S 3, No. 2, 185--197 (2010; Zbl 1191.76057) Full Text: DOI arXiv OpenURL
Bardos, Claude; Titi, Edriss S.; Linshiz, Jasmine S. Global regularity and convergence of a Birkhoff-Rott-\(\alpha \) approximation of the dynamics of vortex sheets of the two-dimensional Euler equations. (English) Zbl 1218.76012 Commun. Pure Appl. Math. 63, No. 6, 697-746 (2010). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76B47 76F02 35Q31 76B03 PDF BibTeX XML Cite \textit{C. Bardos} et al., Commun. Pure Appl. Math. 63, No. 6, 697--746 (2010; Zbl 1218.76012) Full Text: DOI arXiv OpenURL
Bardos, Claude; Linshiz, Jasmine S.; Titi, Edriss S. Global regularity for a Birkhoff-Rott-\(\alpha \) approximation of the dynamics of vortex sheets of the 2D Euler equations. (English) Zbl 1143.76384 Physica D 237, No. 14-17, 1905-1911 (2008). MSC: 76B03 76B47 35Q35 PDF BibTeX XML Cite \textit{C. Bardos} et al., Physica D 237, No. 14--17, 1905--1911 (2008; Zbl 1143.76384) Full Text: DOI arXiv OpenURL
Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F. Regularity of Euler equations for a class of three-dimensional initial data. (English) Zbl 1076.35088 Rodrigues, José F. (ed.) et al., Trends in partial differential equations of mathematical physics. Selected papers of the international conference held on the occasion of the 70th birthday of V. A. Solonnikov, Óbidos, Portugal, June 7–10, 2003. Basel: Birkhäuser (ISBN 3-7643-7165-X/hbk). Progress in Nonlinear Differential Equations and their Applications 61, 161-185 (2005). Reviewer: Vasily A. Chernecky (Odessa) MSC: 35Q05 76B03 35B40 PDF BibTeX XML Cite \textit{A. Mahalov} et al., Prog. Nonlinear Differ. Equ. Appl. 61, 161--185 (2005; Zbl 1076.35088) OpenURL
Mahalov, A.; Nicolaenko, B.; Bardos, C.; Golse, F. Non blow-up of the 3D Euler equations for a class of three-dimensional initial data in cylindrical domains. (English) Zbl 1103.35083 Methods Appl. Anal. 11, No. 4, 605-634 (2004). Reviewer: Josef Wloka (Kiel) MSC: 35Q05 76B03 35B65 35Q35 PDF BibTeX XML Cite \textit{A. Mahalov} et al., Methods Appl. Anal. 11, No. 4, 605--634 (2004; Zbl 1103.35083) Full Text: DOI OpenURL
Bardos, Claude; Pironneau, Olivier A formalism for the differentiation of conservation laws. (English. Abridged French version) Zbl 1020.35052 C. R., Math., Acad. Sci. Paris 335, No. 10, 839-845 (2002). MSC: 35L65 35B30 35Q35 PDF BibTeX XML Cite \textit{C. Bardos} and \textit{O. Pironneau}, C. R., Math., Acad. Sci. Paris 335, No. 10, 839--845 (2002; Zbl 1020.35052) Full Text: DOI OpenURL
Bardos, Claude From molecules to turbulence. – An overview of multiscale analysis in fluid dynamics. (English) Zbl 0940.35164 Málek, J. (ed.) et al., Advanced topics in theoretical fluid mechanics. Lectures of the 5th Winter School on mathematical theory in fluid mechanics, Paseky nad Jizerou, Czech Republic, December 6-14, 1997. Harlow: Longman. Pitman Res. Notes Math. Ser. 392, 1-88 (1998). Reviewer: Dimitar Kolev (Sofia) MSC: 35Q35 35Q30 76D05 76F02 PDF BibTeX XML Cite \textit{C. Bardos}, in: Advanced topics in theoretical fluid mechanics. Lectures of the 5th Winter School on mathematical theory in fluid mechanics, Paseky nad Jizerou, Czech Republic, December 6--14, 1997. Harlow: Longman. 1--88 (1998; Zbl 0940.35164) OpenURL
Bardos, Claude; Ghidaglia, Jean-Michel On two-dimensional Euler equations for open outlet and pressure boundary conditions. (Sur les équations d’Euler bidimensionnelles en écoulement ouvert et conditions aux limites en pression.) (French) Zbl 0916.35082 Équations aux dérivées partielles et applications. Articles dédiés à Jacques-Louis Lions. Gauthier-Villars: Paris. 107-126 (1998). Reviewer: V.A.Sava (Iaşi) MSC: 35Q30 35D05 35A35 PDF BibTeX XML Cite \textit{C. Bardos} and \textit{J.-M. Ghidaglia}, in: Équations aux dérivées partielles et applications. Articles dédiés à Jacques-Louis Lions. Gauthier-Villars: Paris. 107--126 (1998; Zbl 0916.35082) OpenURL
Bardos, Claude; Golse, François; Levermore, David Sur les limites asymptotiques de la théorie cinétique conduisant à la dynamique des fluides incompressibles. (On the asymptotic limits of kinetic theory towards incompressible fluid dynamics). (French) Zbl 0697.35111 C. R. Acad. Sci., Paris, Sér. I 309, No. 11, 727-732 (1989). Reviewer: J.Bemelmans MSC: 35Q30 76D05 35B40 35C20 PDF BibTeX XML Cite \textit{C. Bardos} et al., C. R. Acad. Sci., Paris, Sér. I 309, No. 11, 727--732 (1989; Zbl 0697.35111) OpenURL
Bardos, C. Une interprétation des relations existant entre les équations de Boltzmann, de Navier-Stokes et d’Euler à l’aide de l’entropie. (An interpretation of existing relations between the Boltzmanns Navier-Stokes and Euler equations with the aid of entropy). (English) Zbl 0636.76075 Mat. Apl. Comput. 6, 97-117 (1987). Reviewer: I.Grosu MSC: 76P05 35Q30 76D05 76N15 PDF BibTeX XML Cite \textit{C. Bardos}, Mat. Apl. Comput. 6, 97--117 (1987; Zbl 0636.76075) OpenURL
Bardos, C.; Degond, P.; Golse, F. A priori estimates and existence results for the Vlasov and Boltzmann equations. (English) Zbl 0608.35067 Nonlinear systems of partial differential equations in applied mathematics, Proc. SIAM-AMS Summer Semin., Santa Fe/N.M. 1984, Lect. Appl. Math 23, Pt. 2, 189-207 (1986). Reviewer: V.Chulaevsky MSC: 35Q99 35G20 76P05 35B45 35D05 35P10 PDF BibTeX XML OpenURL
Bardos, Claude Analytical solutions of the Kelvin Helmholtz equations. (English) Zbl 0534.35047 Contemp. Math. 17, 21-30 (1983). Reviewer: N.Weck MSC: 35K05 35A07 35D05 35J05 76B15 65M99 65N99 PDF BibTeX XML Cite \textit{C. Bardos}, Contemp. Math. 17, 21--30 (1983; Zbl 0534.35047) Full Text: DOI OpenURL
Bardos, C. Les équations de Kelvin-Helmholtz. Un problème bien posé uniquement dans le cadre analytique. (French) Zbl 0576.35073 Sémin. Goulaouic-Meyer-Schwartz 1981-1982, Équat. dériv. part., Exposé No. 1, 10 p. (1982). MSC: 35L60 76B47 76E30 76E05 35D05 PDF BibTeX XML Full Text: Numdam EuDML OpenURL
Bardos, Claude; Frisch, Ulem; Sulem, Catherine; Sulem, Pierre Euler equation with initial discontinuous velocity and the Kelvin Helmholtz instability. (English) Zbl 0544.35083 Nonlinear partial differential equations and their applications, Coll. de France Semin., Vol. III, Res. Notes Math. 70, 68-85 (1982). Reviewer: G.Pasa MSC: 35R05 35Q99 76B47 35B35 35D05 PDF BibTeX XML OpenURL
Bardos, Claude Regularity results for the equations of incompressible fluids mechanic at the brink of turbulence. (English) Zbl 0496.35013 Nonlinear problems: present and future, Proc. 1st Los Alamos Conf., 1981, North-Holland Math. Stud. 61, 289-315 (1982). MSC: 35B65 35Q30 76E25 76D05 76F99 PDF BibTeX XML OpenURL
Bardos, Claude; Bercovier, Michel; Pironneau, Olivier The vortex method with finite elements. (English) Zbl 0488.65049 Math. Comput. 36, 119-136 (1981). MSC: 65N30 65M25 65N35 76B47 35Q99 35L50 PDF BibTeX XML Cite \textit{C. Bardos} et al., Math. Comput. 36, 119--136 (1981; Zbl 0488.65049) Full Text: DOI OpenURL
Bardos, Claude; Bercovier, Michel; Pironneau, Olivier Approximation numérique des solutions de l’équation d’Euler en dimension 2. (French) Zbl 0448.65078 C. R. Acad. Sci., Paris, Sér. A 289, 829-832 (1979). MSC: 65Z05 65N30 35Q05 76B47 PDF BibTeX XML Cite \textit{C. Bardos} et al., C. R. Acad. Sci., Paris, Sér. A 289, 829--832 (1979; Zbl 0448.65078) OpenURL
Bardos, Claude Euler equation and Burger equation - relation with turbulence. (English) Zbl 0396.35078 Nonlin. partial Differ. Equat. Appl., Proc. Semin., Indiana Univ. 1976/77, Lect. Notes Math. 648, 1-46 (1978). MSC: 35Q99 35A05 35D10 35K55 35D05 PDF BibTeX XML OpenURL