Luo, Tao; Zeng, Huihui On the free surface motion of highly subsonic heat-conducting inviscid flows. (English) Zbl 1464.76047 Arch. Ration. Mech. Anal. 240, No. 2, 877-926 (2021). MSC: 76G25 76N10 35Q31 35R35 80A19 PDF BibTeX XML Cite \textit{T. Luo} and \textit{H. Zeng}, Arch. Ration. Mech. Anal. 240, No. 2, 877--926 (2021; Zbl 1464.76047) Full Text: DOI arXiv OpenURL
Luo, Tao; Wang, Yan-Lin Multi-scale nonlinear singular limit for thermal non-equilibrium gas flow with multiple non-equilibrium modes for analytic data in multi-dimensions with physical boundaries. (English) Zbl 1454.76066 J. Math. Phys. 61, No. 10, 101512, 16 p. (2020). MSC: 76N10 35Q31 80A17 PDF BibTeX XML Cite \textit{T. Luo} and \textit{Y.-L. Wang}, J. Math. Phys. 61, No. 10, 101512, 16 p. (2020; Zbl 1454.76066) Full Text: DOI OpenURL
Luo, Tao; Wang, Yan-Lin Nonlinear asymptotic stability of traveling waves of system for gas dynamics in thermal nonequilibrium. (English) Zbl 1439.35048 J. Dyn. Differ. Equations 32, No. 2, 941-963 (2020). Reviewer: Y. Charles Li (Columbia) MSC: 35B35 35C07 35Q31 35B40 35L67 PDF BibTeX XML Cite \textit{T. Luo} and \textit{Y.-L. Wang}, J. Dyn. Differ. Equations 32, No. 2, 941--963 (2020; Zbl 1439.35048) Full Text: DOI OpenURL
Huang, Yongting; Luo, Tao Global solution of 3D irrotational flow for gas dynamics in thermal nonequilibrium. (English) Zbl 1437.76047 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 1, 225-238 (2020). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 76N10 35Q31 PDF BibTeX XML Cite \textit{Y. Huang} and \textit{T. Luo}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 1, 225--238 (2020; Zbl 1437.76047) Full Text: DOI OpenURL
Luo, Tao; Wang, Shu; Wang, Yan-Lin Initial layer and incompressible limit for Euler-Poisson equation in nonthermal plasma. (English) Zbl 1425.76319 Math. Models Methods Appl. Sci. 29, No. 9, 1733-1751 (2019). MSC: 76X05 35Q35 35B40 76N10 35Q31 PDF BibTeX XML Cite \textit{T. Luo} et al., Math. Models Methods Appl. Sci. 29, No. 9, 1733--1751 (2019; Zbl 1425.76319) Full Text: DOI OpenURL
Chang, Der-Chen; Luo, Tao Global solution to initial boundary value problem for gas dynamics in thermal nonequilibrium. (English) Zbl 1403.35159 J. Differ. Equations 265, No. 5, 1875-1893 (2018). MSC: 35L50 35L65 35Q31 35B40 PDF BibTeX XML Cite \textit{D.-C. Chang} and \textit{T. Luo}, J. Differ. Equations 265, No. 5, 1875--1893 (2018; Zbl 1403.35159) Full Text: DOI OpenURL
Luo, Tao; Zeng, Huihui Global existence of smooth solutions and convergence to Barenblatt solutions for the physical vacuum free boundary problem of compressible Euler equations with damping. (English) Zbl 1344.35086 Commun. Pure Appl. Math. 69, No. 7, 1354-1396 (2016). Reviewer: Piotr Biler (Wrocław) MSC: 35Q31 35R35 76N10 76S05 35B40 PDF BibTeX XML Cite \textit{T. Luo} and \textit{H. Zeng}, Commun. Pure Appl. Math. 69, No. 7, 1354--1396 (2016; Zbl 1344.35086) Full Text: DOI arXiv OpenURL
Federbush, Paul; Luo, Tao; Smoller, Joel Existence of magnetic compressible fluid stars. (English) Zbl 1308.35206 Arch. Ration. Mech. Anal. 215, No. 2, 611-631 (2015). MSC: 35Q35 35J35 76N10 76W05 PDF BibTeX XML Cite \textit{P. Federbush} et al., Arch. Ration. Mech. Anal. 215, No. 2, 611--631 (2015; Zbl 1308.35206) Full Text: DOI arXiv OpenURL
Luo, Tao; Xin, Zhouping; Zeng, Huihui Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation. (English) Zbl 1309.35065 Arch. Ration. Mech. Anal. 213, No. 3, 763-831 (2014). Reviewer: Laurent Thomann (Nantes) MSC: 35Q31 76N10 PDF BibTeX XML Cite \textit{T. Luo} et al., Arch. Ration. Mech. Anal. 213, No. 3, 763--831 (2014; Zbl 1309.35065) Full Text: DOI arXiv OpenURL
Hao, Chengchun; Luo, Tao A priori estimates for free boundary problem of incompressible inviscid magnetohydrodynamic flows. (English) Zbl 1293.35244 Arch. Ration. Mech. Anal. 212, No. 3, 805-847 (2014). MSC: 35Q35 76W05 35Q31 35B45 PDF BibTeX XML Cite \textit{C. Hao} and \textit{T. Luo}, Arch. Ration. Mech. Anal. 212, No. 3, 805--847 (2014; Zbl 1293.35244) Full Text: DOI arXiv OpenURL
Luo, Tao Dynamics of shock fronts for some hyperbolic systems. (English) Zbl 1248.35126 Ji, Lizhen (ed.) et al., Fifth international congress of Chinese mathematicians. Proceedings of the ICCM ’10, Beijing, China, December 17–22, 2010. Part 2. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-7587-2/pbk; 978-0-8218-7555-1/set). AMS/IP Studies in Advanced Mathematics 51, pt.2, 719-729 (2012). MSC: 35L67 35L65 35Q31 35R35 35B40 PDF BibTeX XML Cite \textit{T. Luo}, AMS/IP Stud. Adv. Math. 51, 719--729 (2012; Zbl 1248.35126) OpenURL
Luo, Tao; Smoller, Joel On the Euler-Poisson equations of self-gravitating compressible fluids. (English) Zbl 1252.35230 Bressan, Alberto (ed.) et al., Nonlinear conservation laws and applications. Proceedings of the summer program, IMA, Minneapolis, MN, USA, July 13–31, 2009. New York, NY: Springer (ISBN 978-1-4419-9553-7; 978-1-4419-9554-4/ebook). The IMA Volumes in Mathematics and its Applications 153, 415-431 (2011). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q35 85A30 85A15 76N10 PDF BibTeX XML Cite \textit{T. Luo} and \textit{J. Smoller}, IMA Vol. Math. Appl. 153, 415--431 (2011; Zbl 1252.35230) Full Text: DOI OpenURL
Luo, Tao; Smoller, Joel Rotating fluids with self-gravitation in bounded domains. (English) Zbl 1060.76125 Arch. Ration. Mech. Anal. 173, No. 3, 345-377 (2004). MSC: 76U05 76N10 85A30 PDF BibTeX XML Cite \textit{T. Luo} and \textit{J. Smoller}, Arch. Ration. Mech. Anal. 173, No. 3, 345--377 (2004; Zbl 1060.76125) Full Text: DOI arXiv OpenURL
Luo, Tao; Yang, Tong Interaction of elementary waves for compressible Euler equations with frictional damping. (English) Zbl 0957.35111 J. Differ. Equations 161, No. 1, 42-86 (2000). Reviewer: Thomas Sonar (Braunschweig) MSC: 35Q35 76N10 PDF BibTeX XML Cite \textit{T. Luo} and \textit{T. Yang}, J. Differ. Equations 161, No. 1, 42--86 (2000; Zbl 0957.35111) Full Text: DOI OpenURL
Luo, Tao; Natalini, Roberto; Xin, Zhouping Large time behavior of the solutions to a hydrodynamic model for semiconductors. (English) Zbl 0936.35111 SIAM J. Appl. Math. 59, No. 3, 810-830 (1999). Reviewer: P.B.Dubovskiĭ (Moskva) MSC: 35L65 76X05 78A35 PDF BibTeX XML Cite \textit{T. Luo} et al., SIAM J. Appl. Math. 59, No. 3, 810--830 (1999; Zbl 0936.35111) Full Text: DOI OpenURL
Hsiao, Ling; Luo, Tao Nonlinear diffusive phenomena of entropy weak solutions for a system of quasilinear hyperbolic conservation laws with damping. (English) Zbl 0953.35094 Q. Appl. Math. 56, No. 1, 173-189 (1998). Reviewer: A.Berezovski (Tallinn) MSC: 35L65 76N10 35D05 PDF BibTeX XML Cite \textit{L. Hsiao} and \textit{T. Luo}, Q. Appl. Math. 56, No. 1, 173--189 (1998; Zbl 0953.35094) Full Text: DOI OpenURL