Makino, Tetu Recent progress of the study of hydrodynamic evolution of gaseous stars. (English) Zbl 1462.35401 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 531-537 (2020). MSC: 35Q85 35Q31 35Q60 35Q76 35B07 85A05 85A30 76Y05 PDF BibTeX XML Cite \textit{T. Makino}, AIMS Ser. Appl. Math. 10, 531--537 (2020; Zbl 1462.35401) OpenURL
Jang, Juhi; Makino, Tetu On rotating axisymmetric solutions of the Euler-Poisson equations. (English) Zbl 1406.35280 J. Differ. Equations 266, No. 7, 3942-3972 (2019). MSC: 35Q35 35Q85 35J61 45G10 35B07 85A15 76W05 76N15 PDF BibTeX XML Cite \textit{J. Jang} and \textit{T. Makino}, J. Differ. Equations 266, No. 7, 3942--3972 (2019; Zbl 1406.35280) Full Text: DOI arXiv OpenURL
Makino, Tetu On slowly rotating axisymmetric solutions of the Einstein-Euler equations. (English) Zbl 1402.83029 J. Math. Phys. 59, No. 10, 102502, 33 p. (2018). MSC: 83C15 83C05 83C55 76Y05 76U05 85A25 85A15 83C25 PDF BibTeX XML Cite \textit{T. Makino}, J. Math. Phys. 59, No. 10, 102502, 33 p. (2018; Zbl 1402.83029) Full Text: DOI arXiv OpenURL
Jang, Juhi; Makino, Tetu On slowly rotating axisymmetric solutions of the Euler-Poisson equations. (English) Zbl 1375.35379 Arch. Ration. Mech. Anal. 225, No. 2, 873-900 (2017). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q35 76N10 76A99 35Q85 45G99 PDF BibTeX XML Cite \textit{J. Jang} and \textit{T. Makino}, Arch. Ration. Mech. Anal. 225, No. 2, 873--900 (2017; Zbl 1375.35379) Full Text: DOI arXiv OpenURL
Makino, Tetu An application of the Nash-Moser theorem to the vacuum boundary problem of gaseous stars. (English) Zbl 1368.35184 J. Differ. Equations 262, No. 2, 803-843 (2017). MSC: 35L70 35Q31 35Q85 76N15 83C05 26B10 58C15 PDF BibTeX XML Cite \textit{T. Makino}, J. Differ. Equations 262, No. 2, 803--843 (2017; Zbl 1368.35184) Full Text: DOI arXiv OpenURL
Makino, Tetu On spherically symmetric motions of the atmosphere surrounding a planet governed by the compressible Euler equations. (English) Zbl 1330.35309 Funkc. Ekvacioj, Ser. Int. 58, No. 1, 43-85 (2015). MSC: 35Q31 35L05 35L52 35L57 35L70 86A10 76N15 PDF BibTeX XML Cite \textit{T. Makino}, Funkc. Ekvacioj, Ser. Int. 58, No. 1, 43--85 (2015; Zbl 1330.35309) Full Text: DOI arXiv OpenURL
Makino, Tetu On spherically symmetric motions of a gaseous star governed by the Euler-Poisson equations. (English) Zbl 1323.35180 Osaka J. Math. 52, No. 2, 545-580 (2015). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35Q85 85A05 76N10 35L05 35L70 35L52 PDF BibTeX XML Cite \textit{T. Makino}, Osaka J. Math. 52, No. 2, 545--580 (2015; Zbl 1323.35180) Full Text: arXiv Euclid OpenURL
Hsu, Cheng-Hsiung; Lin, Song-Sun; Makino, Tetu Smooth solutions to a class of quasilinear wave equations. (English) Zbl 1100.35071 J. Differ. Equations 224, No. 2, 229-257 (2006). Reviewer: Nickolaj A. Lar’kin (Maringa) MSC: 35L70 35L20 PDF BibTeX XML Cite \textit{C.-H. Hsu} et al., J. Differ. Equations 224, No. 2, 229--257 (2006; Zbl 1100.35071) Full Text: DOI OpenURL
Makino, Tetu Approximations of the relativistic Euler-Poisson-Darboux equation. (English) Zbl 1151.35410 Funkc. Ekvacioj, Ser. Int. 46, No. 1, 23-40 (2003). Reviewer: Rainer Schimming (Greifswald) (MR1996292) MSC: 35Q05 35A35 35C15 35D05 76N15 76Y05 PDF BibTeX XML Cite \textit{T. Makino}, Funkc. Ekvacioj, Ser. Int. 46, No. 1, 23--40 (2003; Zbl 1151.35410) Full Text: DOI OpenURL
Makino, Tetu Weak solutions to the compressible Euler equation with an asymptotic \(\gamma\)-law. (English) Zbl 1039.35073 J. Math. Kyoto Univ. 41, No. 3, 557-592 (2001). Reviewer: Milan Pokorný (Praha) MSC: 35Q05 35Q35 76N10 PDF BibTeX XML Cite \textit{T. Makino}, J. Math. Kyoto Univ. 41, No. 3, 557--592 (2001; Zbl 1039.35073) Full Text: DOI OpenURL
Hsu, Cheng-Hsiung; Lin, Song-Sun; Makino, Tetu On the relativistic Euler equation. (English) Zbl 1004.35117 Methods Appl. Anal. 8, No. 1, 159-207 (2001). Reviewer: Dimitar A.Kolev (Sofia) MSC: 35Q75 35Q05 76N10 76Y05 85A05 PDF BibTeX XML Cite \textit{C.-H. Hsu} et al., Methods Appl. Anal. 8, No. 1, 159--207 (2001; Zbl 1004.35117) Full Text: DOI OpenURL
Makino, Tetu; Perthame, Benoît On spherical symmetry solutions of the Euler-Poisson equation for the evolution of gaseous stars. (Sur les solutions à symmétrie sphérique de l’équation d’Euler-Poisson pour l’évolution d’étoiles gazeuses.) (French) Zbl 0743.35048 Japan J. Appl. Math. 7, No. 1, 165-170 (1990). MSC: 35Q05 85A15 76N15 PDF BibTeX XML Cite \textit{T. Makino} and \textit{B. Perthame}, Japan J. Appl. Math. 7, No. 1, 165--170 (1990; Zbl 0743.35048) Full Text: DOI OpenURL
Makino, Tetu Les solutions à support compact de l’équation du mouvement des atmosphères d’étoiles. (Solutions with compact support for the equation of motion of stellar atmospheres). (French) Zbl 0687.76076 Japan J. Appl. Math. 6, No. 3, 479-489 (1989). MSC: 76N15 35Q30 85A20 PDF BibTeX XML Cite \textit{T. Makino}, Japan J. Appl. Math. 6, No. 3, 479--489 (1989; Zbl 0687.76076) Full Text: DOI OpenURL
Makino, Tetu; Ukai, Seiji Sur l’existence des solutions locales de l’équation d’Euler-Poisson pour l’évolution d’étoiles gazeuses. (Local existence of solutions for Euler-Poisson’s equation for the evolution of gazeous stars). (French) Zbl 0657.35113 J. Math. Kyoto Univ. 27, 387-399 (1987). MSC: 35Q99 35A07 85A15 PDF BibTeX XML Cite \textit{T. Makino} and \textit{S. Ukai}, J. Math. Kyoto Univ. 27, 387--399 (1987; Zbl 0657.35113) Full Text: DOI OpenURL
Makino, Tetu; Ukai, Seiji; Kawashima, Shuichi Sur la solution à support compact de l’equation d’Euler compressible. (Solutions with compact support of the compressible Euler equation). (French) Zbl 0637.76065 Japan J. Appl. Math. 3, 249-257 (1986). MSC: 76N10 35Q30 PDF BibTeX XML Cite \textit{T. Makino} et al., Japan J. Appl. Math. 3, 249--257 (1986; Zbl 0637.76065) Full Text: DOI OpenURL
Makino, Tetu On a local existence theorem for the evolution equation of gaseous stars. (English) Zbl 0623.35058 Patterns and waves. Qualitative analysis of nonlinear differential equations, Stud. Math. Appl. 18, 459-479 (1986). MSC: 35Q99 35G25 35A07 85A30 PDF BibTeX XML OpenURL