Peng, Yan-Fang; Shi, Xiaoding; Wu, Yunshun Exponential decay for Lions-Feireisl’s weak solutions to the barotropic compressible Navier-Stokes equations in 3D bounded domains. (English) Zbl 1479.35629 Indiana Univ. Math. J. 70, No. 5, 1813-1831 (2021). MSC: 35Q30 76N10 35D30 35B35 PDF BibTeX XML Cite \textit{Y.-F. Peng} et al., Indiana Univ. Math. J. 70, No. 5, 1813--1831 (2021; Zbl 1479.35629) Full Text: DOI arXiv OpenURL
Hu, Xianpeng Weak solutions for compressible isentropic Navier-Stokes equations in dimensions three. (English) Zbl 1477.35124 Arch. Ration. Mech. Anal. 242, No. 3, 1907-1945 (2021). MSC: 35Q30 76N06 35D30 PDF BibTeX XML Cite \textit{X. Hu}, Arch. Ration. Mech. Anal. 242, No. 3, 1907--1945 (2021; Zbl 1477.35124) Full Text: DOI OpenURL
Li, Yang; Sun, Yongzhong On global-in-time weak solutions to a two-dimensional full compressible nonresistive MHD system. (English) Zbl 1470.76110 SIAM J. Math. Anal. 53, No. 4, 4142-4177 (2021). MSC: 76W05 35Q35 35Q60 PDF BibTeX XML Cite \textit{Y. Li} and \textit{Y. Sun}, SIAM J. Math. Anal. 53, No. 4, 4142--4177 (2021; Zbl 1470.76110) Full Text: DOI OpenURL
Liang, Zhilei; Shuai, Jiangyu Existence of strong solution for the Cauchy problem of fully compressible Navier-Stokes equations in two dimensions. (English) Zbl 1471.35219 Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5383-5405 (2021). MSC: 35Q30 35D35 35A01 35A02 76N06 76N10 PDF BibTeX XML Cite \textit{Z. Liang} and \textit{J. Shuai}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 10, 5383--5405 (2021; Zbl 1471.35219) Full Text: DOI OpenURL
Rousset, Frédéric Weak solutions to the Navier-Stokes equation for compressible fluids [after A. Vasseur and C. Yu]. (Solutions faibles de l’équation de Navier-Stokes des fluides compressibles [d’après A. Vasseur et C. Yu].) (French) Zbl 1483.35155 Séminaire Bourbaki. Volume 2016/2017. Exposés 1120–1135. Société Mathématique de France (SMF). Astérisque 407, Exp. No. 1135, 565-584 (2019). MSC: 35Q30 76N10 35D30 35-02 PDF BibTeX XML Cite \textit{F. Rousset}, Astérisque 407, Exp. No. 1135, 565--584 (2019; Zbl 1483.35155) Full Text: Link OpenURL
Li, Yang; Sun, Yongzhong Global weak solutions to a two-dimensional compressible MHD equations of viscous non-resistive fluids. (English) Zbl 1420.35250 J. Differ. Equations 267, No. 6, 3827-3851 (2019). MSC: 35Q35 35M10 35G31 35D30 76W05 35A01 76N10 PDF BibTeX XML Cite \textit{Y. Li} and \textit{Y. Sun}, J. Differ. Equations 267, No. 6, 3827--3851 (2019; Zbl 1420.35250) Full Text: DOI arXiv OpenURL
Trivisa, Konstantina; Weber, Franziska A convergent explicit finite difference scheme for a mechanical model for tumor growth. (English) Zbl 1360.35197 ESAIM, Math. Model. Numer. Anal. 51, No. 1, 35-62 (2017). MSC: 35Q35 76N10 46E35 92C37 35D30 35Q92 92C50 76M20 65M06 PDF BibTeX XML Cite \textit{K. Trivisa} and \textit{F. Weber}, ESAIM, Math. Model. Numer. Anal. 51, No. 1, 35--62 (2017; Zbl 1360.35197) Full Text: DOI arXiv OpenURL
Vasseur, Alexis F.; Yu, Cheng Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations. (English) Zbl 1354.35115 Invent. Math. 206, No. 3, 935-974 (2016). MSC: 35Q35 76N10 35D30 PDF BibTeX XML Cite \textit{A. F. Vasseur} and \textit{C. Yu}, Invent. Math. 206, No. 3, 935--974 (2016; Zbl 1354.35115) Full Text: DOI arXiv OpenURL
Feireisl, Eduard; Karper, Trygve G.; Pokorný, Milan Mathematical theory of compressible viscous fluids. Analysis and numerics. (English) Zbl 1356.76001 Advances in Mathematical Fluid Mechanics. Lecture Notes in Mathematical Fluid Mechanics. Basel: Birkhäuser/Springer (ISBN 978-3-319-44834-3/pbk; 978-3-319-44835-0/ebook). xii, 186 p. (2016). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 76-02 76N15 35Q30 PDF BibTeX XML Cite \textit{E. Feireisl} et al., Mathematical theory of compressible viscous fluids. Analysis and numerics. Basel: Birkhäuser/Springer (2016; Zbl 1356.76001) Full Text: DOI OpenURL
Jiang, Song Existence of weak solutions to the three-dimensional steady compressible Navier-Stokes equations for any specific heat ratio \(\gamma > 1\). (English) Zbl 1335.35182 Ei, Shin-Ichiro (ed.) et al., Nonlinear dynamics in partial differential equations. Proceedings of the 4th MSJ-SI international conference, Kyushu, Japan, September 12–21, 2011. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-022-8/hbk). Advanced Studies in Pure Mathematics 64, 101-111 (2015). MSC: 35Q30 76N10 35M12 35M32 76N15 PDF BibTeX XML Cite \textit{S. Jiang}, Adv. Stud. Pure Math. 64, 101--111 (2015; Zbl 1335.35182) OpenURL
Lions, Pierre-Louis Mathematical topics in fluid mechanics. Vol. 2: Compressible models. Reprint of the 1998 hardback ed. (English) Zbl 1264.76003 Oxford: Clarendon Press (ISBN 978-0-19-967922-5/pbk). 364 p. (2013). MSC: 76-02 76N10 35Q30 35Q35 PDF BibTeX XML Cite \textit{P.-L. Lions}, Mathematical topics in fluid mechanics. Vol. 2: Compressible models. Reprint of the 1998 hardback ed. Oxford: Clarendon Press (2013; Zbl 1264.76003) OpenURL
Orenga, Pierre; Tomasi, Anne A compactness result about density in compressible Navier-Stokes equations in variable domain. (Un résultat de compacité sur la densité dans les équations de Navier-Stokes compressibles en domaine variable.) (French. English summary) Zbl 1260.35126 C. R., Math., Acad. Sci. Paris 351, No. 1-2, 43-46 (2013). MSC: 35Q30 35R37 76D05 PDF BibTeX XML Cite \textit{P. Orenga} and \textit{A. Tomasi}, C. R., Math., Acad. Sci. Paris 351, No. 1--2, 43--46 (2013; Zbl 1260.35126) Full Text: DOI OpenURL
Fang, Daoyuan; Zi, Ruizhao; Zhang, Ting Decay estimates for isentropic compressible Navier-Stokes equations in bounded domain. (English) Zbl 1229.35171 J. Math. Anal. Appl. 386, No. 2, 939-947 (2012). MSC: 35Q30 76D05 76N10 35D30 PDF BibTeX XML Cite \textit{D. Fang} et al., J. Math. Anal. Appl. 386, No. 2, 939--947 (2012; Zbl 1229.35171) Full Text: DOI arXiv OpenURL
Frehse, J.; Steinhauer, M.; Weigant, W. The Dirichlet problem for viscous compressible isothermal Navier-Stokes equations in two dimensions. (English) Zbl 1229.35175 Arch. Ration. Mech. Anal. 198, No. 1, 1-12 (2010). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q30 76N10 PDF BibTeX XML Cite \textit{J. Frehse} et al., Arch. Ration. Mech. Anal. 198, No. 1, 1--12 (2010; Zbl 1229.35175) Full Text: DOI OpenURL
Haskovec, Jan; Schmeiser, Christian Diffusive limit of a kinetic model for cometary flows. (English) Zbl 1181.82055 J. Stat. Phys. 136, No. 1, 179-194 (2009). Reviewer: David Jou (Bellaterra) MSC: 82C40 82D05 PDF BibTeX XML Cite \textit{J. Haskovec} and \textit{C. Schmeiser}, J. Stat. Phys. 136, No. 1, 179--194 (2009; Zbl 1181.82055) Full Text: DOI OpenURL
Trivisa, Konstantina On the dynamics of liquid-vapor phase transition. (English) Zbl 1156.35059 SIAM J. Math. Anal. 39, No. 6, 1788-1820 (2008). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35L65 76N10 35B45 PDF BibTeX XML Cite \textit{K. Trivisa}, SIAM J. Math. Anal. 39, No. 6, 1788--1820 (2008; Zbl 1156.35059) Full Text: DOI Link OpenURL
Bresch, Didier; Essoufi, El Hassan; Sy, Mamadou Effect of density dependent viscosities on multiphasic incompressible fluid models. (English) Zbl 1220.35114 J. Math. Fluid Mech. 9, No. 3, 377-397 (2007). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q30 76N10 PDF BibTeX XML Cite \textit{D. Bresch} et al., J. Math. Fluid Mech. 9, No. 3, 377--397 (2007; Zbl 1220.35114) Full Text: DOI OpenURL
Hillairet, M. Propagation of density-oscillations in solutions to the barotropic compressible Navier-Stokes system. (English) Zbl 1220.35118 J. Math. Fluid Mech. 9, No. 3, 343-376 (2007). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q30 35B27 76M50 35A01 35A02 PDF BibTeX XML Cite \textit{M. Hillairet}, J. Math. Fluid Mech. 9, No. 3, 343--376 (2007; Zbl 1220.35118) Full Text: DOI OpenURL
Donatelli, Donatella; Trivisa, Konstantina A multidimensional model for the combustion of compressible fluids. (English) Zbl 1117.76071 Arch. Ration. Mech. Anal. 185, No. 3, 379-408 (2007). MSC: 76V05 76N10 80A25 80A32 PDF BibTeX XML Cite \textit{D. Donatelli} and \textit{K. Trivisa}, Arch. Ration. Mech. Anal. 185, No. 3, 379--408 (2007; Zbl 1117.76071) Full Text: DOI OpenURL
Mellet, A.; Vasseur, A. On the barotropic compressible Navier-Stokes equations. (English) Zbl 1149.35070 Commun. Partial Differ. Equations 32, No. 3, 431-452 (2007). Reviewer: Jens Rademacher (Amsterdam) MSC: 35Q30 35B35 PDF BibTeX XML Cite \textit{A. Mellet} and \textit{A. Vasseur}, Commun. Partial Differ. Equations 32, No. 3, 431--452 (2007; Zbl 1149.35070) Full Text: DOI OpenURL
Bresch, Didier; Desjardins, Benoît On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids. (English) Zbl 1122.35092 J. Math. Pures Appl. (9) 87, No. 1, 57-90 (2007). MSC: 35Q30 76N10 35D05 PDF BibTeX XML Cite \textit{D. Bresch} and \textit{B. Desjardins}, J. Math. Pures Appl. (9) 87, No. 1, 57--90 (2007; Zbl 1122.35092) Full Text: DOI OpenURL
Donatelli, Donatella; Trivisa, Konstantina On the motion of a viscous compressible radiative-reacting gas. (English) Zbl 1131.35062 Commun. Math. Phys. 265, No. 2, 463-491 (2006). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 76N10 80A32 76V05 PDF BibTeX XML Cite \textit{D. Donatelli} and \textit{K. Trivisa}, Commun. Math. Phys. 265, No. 2, 463--491 (2006; Zbl 1131.35062) Full Text: DOI OpenURL
Donatelli, Donatella Local and global existence for the coupled Navier-Stokes-Poisson problem. (English) Zbl 1039.35075 Q. Appl. Math. 61, No. 2, 345-361 (2003). Reviewer: Alain Brillard (Mulhouse) MSC: 35Q30 82D37 35D05 76X05 PDF BibTeX XML Cite \textit{D. Donatelli}, Q. Appl. Math. 61, No. 2, 345--361 (2003; Zbl 1039.35075) Full Text: DOI OpenURL
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana On the existence of globally defined weak solutions to the Navier-Stokes equations. (English) Zbl 0997.35043 J. Math. Fluid Mech. 3, No. 4, 358-392 (2001). Reviewer: Emmanuel Russ (Marseille) MSC: 35Q30 76N10 35D05 PDF BibTeX XML Cite \textit{E. Feireisl} et al., J. Math. Fluid Mech. 3, No. 4, 358--392 (2001; Zbl 0997.35043) Full Text: DOI OpenURL
Feireisl, Eduard; Petzeltová, Hana On compactness of solutions to the Navier-Stokes equations of compressible flow. (English) Zbl 0952.35091 J. Differ. Equations 163, No. 1, 57-75 (2000). Reviewer: Grzegorz Karch (Wrocław) MSC: 35Q30 76N10 PDF BibTeX XML Cite \textit{E. Feireisl} and \textit{H. Petzeltová}, J. Differ. Equations 163, No. 1, 57--75 (2000; Zbl 0952.35091) Full Text: DOI OpenURL
Feireisl, Eduard; Petzeltová, Hana On integrability up to the boundary of the weak solutions of the Navier-Stokes equations of compressible flow. (English) Zbl 0966.35096 Commun. Partial Differ. Equations 25, No. 3-4, 755-767 (2000). Reviewer: Milan Pokorný (Columbia) MSC: 35Q30 76N10 PDF BibTeX XML Cite \textit{E. Feireisl} and \textit{H. Petzeltová}, Commun. Partial Differ. Equations 25, No. 3--4, 755--767 (2000; Zbl 0966.35096) Full Text: DOI OpenURL
Kohr, Mirela Modern problems in viscous fluid mechanics. Vol. I and II. (Probleme moderne în mecanica fluidelor vâscoase. Vol. I, II.) (Romanian) Zbl 0944.76001 Cluj Napoca: Presa Universitară Clujeană. 452 p. (2000). Reviewer: V.Ionescu (Bucureşti) MSC: 76-02 76D07 76D05 76M40 76M45 PDF BibTeX XML Cite \textit{M. Kohr}, Probleme moderne în mecanica fluidelor vâscoase. Vol. I, II (Romanian). Cluj Napoca: Presa Universitară Clujeană (2000; Zbl 0944.76001) OpenURL