Dapogny, Charles; Feppon, Florian Shape optimization using a level set based mesh evolution method: an overview and tutorial. (Une stratégie d’évolution de maillage basée sur la méthode des lignes de niveaux pour l’optimisation de formes: survol et mise en pratique.) (English. French summary) Zbl 07811798 C. R., Math., Acad. Sci. Paris 361, 1267-1332 (2023). MSC: 49Q10 49M41 65K05 65N50 74P05 74P10 90C90 PDFBibTeX XMLCite \textit{C. Dapogny} and \textit{F. Feppon}, C. R., Math., Acad. Sci. Paris 361, 1267--1332 (2023; Zbl 07811798) Full Text: DOI
Gao, Hongjun; Nečasová, Šárka; Tang, Tong On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations. (Sur l’approximation hydrostatique des équations de Navier-Stokes anisotropes compressibles.) (English. French summary) Zbl 1486.35326 C. R., Math., Acad. Sci. Paris 359, No. 6, 639-644 (2021). MSC: 35Q30 35Q86 76N10 86A10 PDFBibTeX XMLCite \textit{H. Gao} et al., C. R., Math., Acad. Sci. Paris 359, No. 6, 639--644 (2021; Zbl 1486.35326) Full Text: DOI arXiv
Bravin, Marco On the 2D “viscous incompressible fluid + rigid body” system with Navier conditions and unbounded energy. (Sur le mouvement d’un corps rigide dans un écoulement bidimensionel d’un fluide visqueux incompressible avec conditions au bord de Navier et énergie infinie.) (English. French summary) Zbl 1455.35169 C. R., Math., Acad. Sci. Paris 358, No. 3, 303-319 (2020). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 70E15 76D03 76D05 76D10 35D30 PDFBibTeX XMLCite \textit{M. Bravin}, C. R., Math., Acad. Sci. Paris 358, No. 3, 303--319 (2020; Zbl 1455.35169) Full Text: DOI arXiv
Collot, Charles; Merle, Frank; Raphaël, Pierre Stability of ODE blow-up for the energy critical semilinear heat equation. (Stabilité de l’explosion type EDO pour l’équation de la chaleur énergie critique.) (English. French summary) Zbl 1364.35156 C. R., Math., Acad. Sci. Paris 355, No. 1, 65-79 (2017). Reviewer: Lubomira Softova (Aversa) MSC: 35K58 35B44 PDFBibTeX XMLCite \textit{C. Collot} et al., C. R., Math., Acad. Sci. Paris 355, No. 1, 65--79 (2017; Zbl 1364.35156) Full Text: DOI
Chanillo, Sagun; van Schaftingen, Jean; Yung, Po-Lam Applications of Bourgain-Brézis inequalities to fluid mechanics and magnetism. (Applications des inégalités de Bourgain-Brézis à la mécanique des fluides et au magnétisme.) (English. French summary) Zbl 1338.35325 C. R., Math., Acad. Sci. Paris 354, No. 1, 51-55 (2016). MSC: 35Q30 35B30 76D03 76D05 PDFBibTeX XMLCite \textit{S. Chanillo} et al., C. R., Math., Acad. Sci. Paris 354, No. 1, 51--55 (2016; Zbl 1338.35325) Full Text: DOI arXiv
Han, Yuzhu; Gao, Wenjie; Li, Haixia Blow-up of solutions to a semilinear heat equation with a viscoelastic term and a nonlinear boundary flux. (Explosion de solutions de l’équation de la chaleur semi-linéaire avec un terme viscoélastique et un flux de limite non linéaire.) (English. French summary) Zbl 1322.35073 C. R., Math., Acad. Sci. Paris 353, No. 9, 825-830 (2015). MSC: 35K58 35B44 PDFBibTeX XMLCite \textit{Y. Han} et al., C. R., Math., Acad. Sci. Paris 353, No. 9, 825--830 (2015; Zbl 1322.35073) Full Text: DOI
Amrouche, Chérif; Rodríguez-Bellido, María Ángeles Very weak solutions for the stationary Stokes equations. (English. Abridged French version) Zbl 1186.35045 C. R., Math., Acad. Sci. Paris 348, No. 3-4, 223-228 (2010). MSC: 35J25 35D30 46N20 35B65 PDFBibTeX XMLCite \textit{C. Amrouche} and \textit{M. Á. Rodríguez-Bellido}, C. R., Math., Acad. Sci. Paris 348, No. 3--4, 223--228 (2010; Zbl 1186.35045) Full Text: DOI Link
Dávila, Gonzalo; Felmer, Patricio; Quaas, Alexander Alexandroff-Bakelman-Pucci estimate for singular or degenerate fully nonlinear elliptic equations. (English) Zbl 1180.35230 C. R., Math., Acad. Sci. Paris 347, No. 19-20, 1165-1168 (2009). MSC: 35J60 35J70 35B45 35J20 PDFBibTeX XMLCite \textit{G. Dávila} et al., C. R., Math., Acad. Sci. Paris 347, No. 19--20, 1165--1168 (2009; Zbl 1180.35230) Full Text: DOI
Zhai, Jian Regularity of weak constant anisotropic mean curvature surfaces. (English) Zbl 1114.53005 C. R., Math., Acad. Sci. Paris 344, No. 9, 603-606 (2007). MSC: 53A10 PDFBibTeX XMLCite \textit{J. Zhai}, C. R., Math., Acad. Sci. Paris 344, No. 9, 603--606 (2007; Zbl 1114.53005) Full Text: DOI
Guerrero, Sergio; Imanuvilov, Oleg Yurievich; Puel, Jean-Pierre Remarks on global approximate controllability for the 2-D Navier-Stokes system with Dirichlet boundary conditions. (English) Zbl 1109.35087 C. R., Math., Acad. Sci. Paris 343, No. 9, 573-577 (2006). MSC: 35Q30 35B37 76D05 93C20 PDFBibTeX XMLCite \textit{S. Guerrero} et al., C. R., Math., Acad. Sci. Paris 343, No. 9, 573--577 (2006; Zbl 1109.35087) Full Text: DOI
Lions, Pierre-Louis; Musiela, Marek Convexity of solutions of parabolic equations. (English) Zbl 1096.35006 C. R., Math., Acad. Sci. Paris 342, No. 12, 915-921 (2006). MSC: 35B05 35K55 35K15 PDFBibTeX XMLCite \textit{P.-L. Lions} and \textit{M. Musiela}, C. R., Math., Acad. Sci. Paris 342, No. 12, 915--921 (2006; Zbl 1096.35006) Full Text: DOI
Sy, Mamadou; Bresch, Didier; Guillén-González, Francisco; Lemoine, Jérôme; Rodríguez-Bellido, Maria Angeles Local strong solution for the incompressible Korteweg model. (English) Zbl 1089.35047 C. R., Math., Acad. Sci. Paris 342, No. 3, 169-174 (2006). MSC: 35Q30 76A05 PDFBibTeX XMLCite \textit{M. Sy} et al., C. R., Math., Acad. Sci. Paris 342, No. 3, 169--174 (2006; Zbl 1089.35047) Full Text: DOI Link
Courilleau, Patrick; Molinaro, Thierry Horsin On the controllability for Maxwell’s equations in specific media. (English) Zbl 1146.93310 C. R., Math., Acad. Sci. Paris 341, No. 11, 665-668 (2005). MSC: 93B05 35Q60 78A25 PDFBibTeX XMLCite \textit{P. Courilleau} and \textit{T. H. Molinaro}, C. R., Math., Acad. Sci. Paris 341, No. 11, 665--668 (2005; Zbl 1146.93310) Full Text: DOI
Poliakovsky, Arkady A method for establishing upper bounds for singular perturbation problems. (English. Abridged French version) Zbl 1068.49009 C. R., Math., Acad. Sci. Paris 341, No. 2, 97-102 (2005). MSC: 49J45 PDFBibTeX XMLCite \textit{A. Poliakovsky}, C. R., Math., Acad. Sci. Paris 341, No. 2, 97--102 (2005; Zbl 1068.49009) Full Text: DOI
Germain, Pierre Global solutions of infinite energy for the 2D Navier-Stokes equation. (Solutions globales d’énergie infinie de l’équation de Navier-Stokes 2D.) (French) Zbl 1067.35063 C. R., Math., Acad. Sci. Paris 340, No. 7, 547-550 (2005). MSC: 35Q30 76D03 76D05 PDFBibTeX XMLCite \textit{P. Germain}, C. R., Math., Acad. Sci. Paris 340, No. 7, 547--550 (2005; Zbl 1067.35063) Full Text: DOI
Alvarez, Olivier; Hoch, Philippe; Le Bouar, Yann; Monneau, Régis Small-time solvability of a non-local Hamilton-Jacobi equation describing dislocation dynamics. (Résolution en temps court d’une équation de Hamilton-Jacobi non locale décrivant la dynamique d’une dislocation.) (French. Abridged English version) Zbl 1049.35005 C. R., Math., Acad. Sci. Paris 338, No. 9, 679-684 (2004). MSC: 35A07 35F25 74N05 PDFBibTeX XMLCite \textit{O. Alvarez} et al., C. R., Math., Acad. Sci. Paris 338, No. 9, 679--684 (2004; Zbl 1049.35005) Full Text: DOI
Lemarié-Rieusset, Pierre-Gilles Further remarks on the analyticity of mild solutions for the Navier-Stokes equations in \(\mathbb R^3\). (Nouvelles remarques sur l’analyticité des solutions milds des équations de Navier-Stokes dans \(\mathbb R^3\).) (French) Zbl 1047.35112 C. R., Math., Acad. Sci. Paris 338, No. 6, 443-446 (2004). MSC: 35Q30 76D03 PDFBibTeX XMLCite \textit{P.-G. Lemarié-Rieusset}, C. R., Math., Acad. Sci. Paris 338, No. 6, 443--446 (2004; Zbl 1047.35112) Full Text: DOI
Fernández-Cara, Enrique; Guerrero, Sergio; Imanuvilov, Oleg Yurievich; Puel, Jean-Pierre Remarks on exact controllability for Stokes and Navier-Stokes systems. (English. Abridged French version) Zbl 1042.93036 C. R., Math., Acad. Sci. Paris 338, No. 5, 375-380 (2004). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 93C20 93B05 76D55 35Q30 PDFBibTeX XMLCite \textit{E. Fernández-Cara} et al., C. R., Math., Acad. Sci. Paris 338, No. 5, 375--380 (2004; Zbl 1042.93036) Full Text: DOI
May, Ramzi The role of the Besov space \({\mathbf B}_{\infty}^{-1,\infty}\) in the control of the eventual explosion in finite time of the regular solutions of the Navier-Stokes equations. (Rôle de l’espace de Besov \({\mathbf B}_{\infty}^{-1,\infty}\) dans le contrôle de l’explosion éventuelle en temps fini des solutions régulières des équations de Navier-Stokes.) (French) Zbl 1038.35058 C. R., Math., Acad. Sci. Paris 336, No. 9, 731-734 (2003). MSC: 35Q30 35B40 76D05 76D03 PDFBibTeX XMLCite \textit{R. May}, C. R., Math., Acad. Sci. Paris 336, No. 9, 731--734 (2003; Zbl 1038.35058) Full Text: DOI arXiv
Chen, Gui-Qiang; Su, Bo On global discontinuous solutions of Hamilton-Jacobi equations. (English. Abridged French version) Zbl 1002.35029 C. R., Math., Acad. Sci. Paris 334, No. 2, 113-118 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 35F25 49L25 PDFBibTeX XMLCite \textit{G.-Q. Chen} and \textit{B. Su}, C. R., Math., Acad. Sci. Paris 334, No. 2, 113--118 (2002; Zbl 1002.35029) Full Text: DOI