Lu, Yun-guang Global solutions for a hyperbolic conservation system of three equations. (English) Zbl 07927829 Appl. Math. Lett. 159, Article ID 109285, 3 p. (2025). MSC: 35L65 35A01 35L45 × Cite Format Result Cite Review PDF Full Text: DOI
Coclite, Giuseppe Maria Scalar conservation laws. (English) Zbl 07882560 SpringerBriefs in Mathematics. Singapore: Springer (ISBN 978-981-97-3983-7/pbk; 978-981-97-3984-4/ebook). xiv, 148 p. (2024). MSC: 35-02 35D40 35L02 35L65 35L67 × Cite Format Result Cite Review PDF Full Text: DOI
Amorim, Paulo; Casteras, Jean-Baptiste; Dias, João-Paulo On the existence and partial stability of standing waves for a nematic liquid crystal director field equations. (English) Zbl 07852018 Milan J. Math. 92, No. 1, 143-167 (2024). Reviewer: Xingbin Pan (Shanghai) MSC: 76A15 76W05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dafermos, Constantine M. Hyperbolic conservation laws: past, present, future. (English) Zbl 1535.35118 Morel, Jean-Michel (ed.) et al., Mathematics going forward. Collected mathematical brushstrokes. Cham: Springer. Lect. Notes Math. 2313, 479-486 (2023). Reviewer: Evgeniy Panov (Veliky Novgorod) MSC: 35L65 35-02 35-03 01A61 × Cite Format Result Cite Review PDF Full Text: DOI
Amorim, Paulo; Dias, João-Paulo; Martins, Assis F. On the motion of the director field of a nematic liquid crystal submitted to a magnetic field and a laser beam. (English) Zbl 1525.76008 SN Partial Differ. Equ. Appl. 4, No. 4, Paper No. 36, 14 p. (2023). MSC: 76A15 76W05 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Gui-Qiang G.; Schrecker, Matthew R. I. Global entropy solutions and Newtonian limit for the relativistic Euler equations. (English) Zbl 1490.35260 Ann. PDE 8, No. 1, Paper No. 10, 53 p. (2022). MSC: 35Q31 35L65 35Q75 35L03 35L67 35Q35 35A01 76Y05 83A05 35A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Shu; Ren, Yabo The global existence of generalized solutions to the time-dependent Thomas-Fermi equations. (English) Zbl 1507.35206 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 219, Article ID 112849, 23 p. (2022). MSC: 35Q35 35A01 35B45 35B50 35D30 35D40 78A35 81V45 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Wentao; Jiang, Peng Global bounded weak entropy solutions to the Euler-Vlasov equations in fluid-particle system. (English) Zbl 1475.35251 SIAM J. Math. Anal. 53, No. 4, 3958-3984 (2021). MSC: 35Q31 35Q83 35D30 35R09 76T06 76N10 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Ran; Yu, Huimin; Yuan, Difan Large-time behavior of entropy solutions to bipolar hydrodynamic model for semiconductors. (English) Zbl 1468.35018 Nonlinear Anal., Real World Appl. 57, Article ID 103205, 16 p. (2021). MSC: 35B40 35D30 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Qingyou; Lu, Yunguang; Klingenberg, Christian Global weak solutions for a nonlinear hyperbolic system. (English) Zbl 1513.35359 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 5, 1185-1194 (2020). MSC: 35L15 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Shujun Weak solutions for the systems of multifluid flows. (Chinese. English summary) Zbl 1449.35167 Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 5, 1077-1086 (2019). MSC: 35D30 76N10 × Cite Format Result Cite Review PDF
Liu, Shujun; Chen, Fangqi; Wang, Zejun Existence of global \(L^\infty\) solutions to a generalized \(n \times n\) hyperbolic system of leroux type. (English) Zbl 1438.35272 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 3, 889-897 (2018). MSC: 35L65 35L67 35L60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Yulei; Jiang, Peng The existence of global entropy solutions to the one-dimensional equations in radiation hydrodynamics. (Chinese. English summary) Zbl 1424.76030 J. Hebei Norm. Univ., Nat. Sci. Ed. 42, No. 4, 284-293 (2018). MSC: 76N10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Yun-Guang; Sugiyama, Yuusuke Existence and nonexistence theorems of global weak solutions to degenerate quasilinear wave equations for the elasticity. (English) Zbl 1524.35384 Appl. Math. Lett. 84, 118-123 (2018). MSC: 35L65 76N15 35B40 35L72 35L45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Shujun; Chen, Fangqi; Wang, Zejun Existence of global \(L^p\) solutions to a system of conservation laws in chromatography with geometry effects. (English) Zbl 1516.35265 Nonlinear Anal., Real World Appl. 42, 478-484 (2018). MSC: 35L65 35L45 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Xue Spectral viscosity method with generalized Hermite functions for nonlinear conservation laws. (English) Zbl 1377.65135 Appl. Numer. Math. 123, 256-274 (2018). MSC: 65M70 35L65 35Q53 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Yun-guang; Roa, Elder Villamizar; Xie, Jian Global existence of weak solutions for \(n \times n\) system of chromatography. (English) Zbl 1379.35188 Nonlinear Anal., Real World Appl. 37, 309-316 (2017). MSC: 35L65 35D40 × Cite Format Result Cite Review PDF Full Text: DOI
Tsuge, Naoki Existence of a global solution for a scalar conservation law with a source term, nonlinear resonance, invariant region depending on the space variable. (English) Zbl 1365.35092 Acta Appl. Math. 147, No. 1, 177-186 (2017). MSC: 35L65 35A01 35L60 76N15 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Shujun; Chen, Fangqi; Wang, Zejun Existence of global \(L^\infty\) solutions to a generalized \(n \times n\) hyperbolic system of quadratic type. (English) Zbl 1347.35150 Appl. Math. Lett. 61, 49-55 (2016). MSC: 35L45 35L60 35L65 35D40 × Cite Format Result Cite Review PDF Full Text: DOI
Dafermos, Constantine M. Hyperbolic conservation laws in continuum physics. 4th edition. (English) Zbl 1364.35003 Grundlehren der Mathematischen Wissenschaften 325. Berlin: Springer (ISBN 978-3-662-49449-3/hbk; 978-3-662-49451-6/ebook). xxxviii, 826 p. (2016). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35-02 35L65 35L67 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Shujun; Chen, Fangqi; Wang, Zejun Existence of global \(L^p\) solutions to a symmetric system of Keyfitz-Kranzer type. (English) Zbl 1331.35221 Appl. Math. Lett. 52, 96-101 (2016). MSC: 35L45 35D40 35L60 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Tsuge, Naoki Existence of a global solution to a scalar conservation law with a source term for large data. (English) Zbl 1327.35248 J. Math. Anal. Appl. 432, No. 2, 862-867 (2015). MSC: 35L65 35L45 × Cite Format Result Cite Review PDF Full Text: DOI
Katzourakis, Nikos Existence and uniqueness of global solutions to fully nonlinear first order elliptic systems. (English) Zbl 1309.35019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 115, 50-61 (2015). MSC: 35J46 35J47 35J60 35D30 35A01 35A02 32W50 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Hongxing; Yao, Zheng-An Homogenization of a coupled system with periodic oscillating coefficients. (English) Zbl 1304.35073 Mediterr. J. Math. 11, No. 3, 1033-1046 (2014). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35Q30 35K20 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Yun-Guang Existence of global weak entropy solutions to some nonstrictly hyperbolic systems. (English) Zbl 1302.35253 SIAM J. Math. Anal. 45, No. 6, 3592-3610 (2013). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35L45 35K45 76S05 35D30 × Cite Format Result Cite Review PDF Full Text: DOI
Felaco, Elisabetta; Rubino, Bruno; Sampalmieri, Rosella Global existence to the Cauchy problem for hyperbolic conservation laws with an isolated umbilic point. (English) Zbl 1282.35237 Q. Appl. Math. 71, No. 4, 629-659 (2013). MSC: 35L65 35L80 35L45 × Cite Format Result Cite Review PDF Full Text: DOI
Kröker, Ilja; Rohde, Christian Finite volume schemes for hyperbolic balance laws with multiplicative noise. (English) Zbl 1241.65013 Appl. Numer. Math. 62, No. 4, 441-456 (2012). MSC: 65C30 60H15 60H35 35L65 35R60 65M08 65M20 × Cite Format Result Cite Review PDF Full Text: DOI
Fritz, József Microscopic theory of isothermal elastodynamics. (English) Zbl 1268.74009 Arch. Ration. Mech. Anal. 201, No. 1, 209-249 (2011). MSC: 74A60 74B99 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Ji, Yuanyuan; Li, Huiyuan Convergence of the super spectral viscosity methods for nonlinear conservation laws. (Chinese. English summary) Zbl 1265.65210 Commun. Appl. Math. Comput. 25, No. 2, 224-234 (2011). MSC: 65M70 65M12 35L65 65M15 × Cite Format Result Cite Review PDF
Chen, Gui-Qiang G.; Slemrod, Marshall; Wang, Dehua Transonic flows and isometric embeddings. (English) Zbl 1245.35092 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, 257-266 (2011). MSC: 35Q35 76H05 35M10 35A35 76N10 53C42 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Yun-guang Global existence of solutions to resonant system of isentropic gas dynamics. (English) Zbl 1230.35104 Nonlinear Anal., Real World Appl. 12, No. 5, 2802-2810 (2011). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35Q35 76N10 35L60 35L45 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua A fluid dynamic formulation of the isometric embedding problem in differential geometry. (English) Zbl 1187.35135 Q. Appl. Math. 68, No. 1, 73-80 (2010). MSC: 35L60 76H05 76N10 76L05 53C42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Dafermos, Constantine M. Hyperbolic conservation laws in continuum physics. 3rd ed. (English) Zbl 1196.35001 Grundlehren der Mathematischen Wissenschaften 325. Berlin: Springer (ISBN 978-3-642-04047-4/hbk; 978-3-642-04048-1/ebook). xxxv, 708 p. (2010). Reviewer: Evgeniy Panov (Novgorod) MSC: 35-01 35-02 35L65 35L67 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Guoqiang; Xiao, Jian; Sheng, Liren Existence of global weak solutions to a special system of Euler equation with a source. I: Special case. (Chinese. English summary) Zbl 1225.35169 J. Anhui Univ., Nat. Sci. 33, No. 1, 13-17 (2009). MSC: 35Q31 35A01 35L65 × Cite Format Result Cite Review PDF
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. (English) Zbl 1198.35149 Math. Comput. 78, No. 265, 55-78 (2009). MSC: 35L65 74S10 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Guoqiang; Yang, Ruifang; Zhao, Lei; Li, Lina Singular limits of stiff relaxation and dominant diffusion for hyperbolic balance laws and its applications. (Chinese. English summary) Zbl 1212.35305 J. Jilin Univ., Sci. 47, No. 3, 416-424 (2009). MSC: 35L65 × Cite Format Result Cite Review PDF
Chen, Gui-Qiang; Slemrod, Marshall; Wang, Dehua Conservation laws: transonic flow and differential geometry. (English) Zbl 1191.35173 Tadmor, Eitan (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Plenary and invited talks. Proceedings of the 12th international conference on hyperbolic problems, June 9–13, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4729-9/hbk; 978-0-8218-4728-2/2-vol. set). Proceedings of Symposia in Applied Mathematics 67, Part 1, 217-226 (2009). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 76H05 35M10 35A35 76N10 53C42 35Q31 × Cite Format Result Cite Review PDF
Song, Guo-Qiang Existence of global weak solutions to a symmetrically hyperbolic system with a source. (English) Zbl 1192.35116 Rev. Colomb. Mat. 42, No. 2, 221-232 (2008). MSC: 35L60 35L45 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Cheng, Zhixin Global entropy solutions to a variant of the compressible Euler equations. (English) Zbl 1154.76044 Appl. Math. Lett. 21, No. 4, 410-415 (2008). MSC: 76N10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
LeFloch, Philippe G.; Yamazaki, Mitsuru Entropy solutions of the Euler equations for isothermal relativistic fluids. (English) Zbl 1153.76067 Int. J. Dyn. Syst. Differ. Equ. 1, No. 1, 20-37 (2007). MSC: 76Y05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Mingbin; Cheng, Zhixin Conservation laws. III: Relaxation limit. (English) Zbl 1156.35425 Rev. Colomb. Mat. 41, No. 1, 107-115 (2007). MSC: 35L65 35B25 × Cite Format Result Cite Review PDF Full Text: EuDML
Tao, Ming; Cheng, Zhixin; Yan, Jin Conservation laws. II: Weak solutions. (English) Zbl 1156.35427 Rev. Colomb. Mat. 41, No. 1, 91-106 (2007). MSC: 35L65 35D05 35B50 × Cite Format Result Cite Review PDF Full Text: EuDML
Lu, Yun-Guang Global weak solution for a symmetrically hyperbolic system. (English) Zbl 1139.35377 Appl. Math. Lett. 19, No. 6, 522-526 (2006). MSC: 35L60 35A30 35D05 35L45 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Yun-Guang Nonstrictly hyperbolic systems with stiff relaxation terms. (English) Zbl 1139.35376 J. Math. Anal. Appl. 324, No. 2, 1407-1416 (2006). MSC: 35L60 35L45 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Dafermos, Constantine M. Hyperbolic conservation laws in continuum physics. 2nd ed. (English) Zbl 1078.35001 Grundlehren der Mathematischen Wissenschaften 325. Berlin: Springer (ISBN 3-540-25452-8/hbk). xix, 626 p. (2005). Reviewer: Evgeniy Panov (Novgorod) MSC: 35-01 35-02 35L65 35L67 × Cite Format Result Cite Review PDF
Chen, Gui-Qiang; Li, Banghe; Li, Tian-Hong Entropy solutions in \(L^\infty\) for the Euler equations in nonlinear elastodynamics and related equations. (English) Zbl 1063.74045 Arch. Ration. Mech. Anal. 170, No. 4, 331-357 (2003). MSC: 74H20 35Q72 × Cite Format Result Cite Review PDF Full Text: DOI
Karlsen, Kenneth H.; Risebro, Nils H.; Towers, John D. On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient. (English) Zbl 1015.35049 Electron. J. Differ. Equ. 2002, Paper No. 93, 23 p. (2002). Reviewer: Giovanni Porru (Cagliari) MSC: 35K65 35R05 35L80 35D05 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Bournaveas, Nikolaos Low regularity solutions of the Dirac Klein-Gordon equations in two space dimensions. (English) Zbl 0991.35093 Commun. Partial Differ. Equations 26, No. 7-8, 1345-1366 (2001). Reviewer: A.Jeffrey (Newcastle upon Tyne) MSC: 35Q40 35L20 81Q05 37N20 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Yunguang; Mantilla, Ignacio; Rendón, Leonardo Convergence of approximated solutions to a nonstrictly hyperbolic system. (English) Zbl 0988.35114 Adv. Nonlinear Stud. 1, No. 1, 65-79 (2001). Reviewer: Georgiev Lyuben Vulkov (Rousse) MSC: 35L65 35A35 × Cite Format Result Cite Review PDF Full Text: DOI
LeFloch, Philippe G. Existence of entropy solutions for the compressible Euler equations. (English) Zbl 0926.35109 Fey, Michael (ed.) et al., Hyperbolic problems: Theory, numerics, applications. Proceedings of the 7th international conference, Zürich, Switzerland, February 1998. Vol. II. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 130, 599-607 (1999). MSC: 35Q05 76N10 35Q35 × Cite Format Result Cite Review PDF
LeFloch, Philippe G. An introduction to nonclassical shocks of systems of conservation laws. (English) Zbl 0929.35088 Kröner, Dietmar (ed.) et al., An introduction to recent developments in theory and numerics for conservation laws. Proceedings of the international school, Freiburg/ Littenweiler, Germany, October 20–24, 1997. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 5, 28-72 (1999). Reviewer: A.Meister (Hamburg) MSC: 35L65 35L67 65M06 × Cite Format Result Cite Review PDF
Kohn, Robert V.; Little, Thomas D. Some model problems of polycrystal plasticity with deficient basic crystals. (English) Zbl 0932.74012 SIAM J. Appl. Math. 59, No. 1, 172-197 (1999). Reviewer: S.Cleja-Ţigoiu (Bucureşti) MSC: 74C99 74E15 74Q20 82D25 74E30 × Cite Format Result Cite Review PDF Full Text: DOI
Constantin, Adrian; Escher, Joachim Global weak solutions for a shallow water equation. (English) Zbl 0930.35133 Indiana Univ. Math. J. 47, No. 4, 1527-1545 (1998). Reviewer: O.Titow (Berlin) MSC: 35Q35 76B25 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Amirat, Youcef; Peng, Yue-Jun Global weak solutions of a three-dimensional flow model for a multi-species mixture in porous media. (English) Zbl 0910.35032 Math. Methods Appl. Sci. 21, No. 11, 1035-1048 (1998). MSC: 35D05 76S05 35L60 35K65 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Heping Chebyshev-Legendre super spectral viscosity method for nonlinear conservation laws. (English) Zbl 0912.35105 SIAM J. Numer. Anal. 35, No. 3, 893-908 (1998). Reviewer: A.Meister (Hamburg) MSC: 35L65 65M99 65N99 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Muñoz Rivera, Jaime E.; Jiang, Song The thermoelastic and viscoelastic contact of two rods. (English) Zbl 0895.73061 J. Math. Anal. Appl. 217, No. 2, 423-458 (1998). MSC: 74A55 74M15 74K10 74D99 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Durek, Ute Existence theorem for nonlinear equations of thermoelasticity with large data. (Ein Existenzsatz für nichtlineare Thermoelastizitätsgleichungen zu großen Daten.) (German) Zbl 0901.35102 Darmstadt: Univ. Darmstadt, Fakultät für Mathematik und Informatik, 76 S. (1997). MSC: 35Q72 74A15 35D05 × Cite Format Result Cite Review PDF
Yang, Tong; Yao, Zhengan; Zhu, Changjiang Existence of global weak solutions for a viscoelastic model with relaxation. (English) Zbl 0895.35062 Appl. Anal. 67, No. 3-4, 313-326 (1997). Reviewer: Tong Yang (Hong Kong) MSC: 35L65 35D05 35L45 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Klingenberg, Christian; Lu, Yun-guang Existence of solutions to hyperbolic conservation laws with a source. (English) Zbl 0883.35074 Commun. Math. Phys. 187, No. 2, 327-340 (1997). Reviewer: Th.Sonar (Hamburg) MSC: 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Huijiang; Zhu, Changjiang; Yu, Zhong Existence and convergence of solutions to higher order generalized KdV-Burgers equations. (English) Zbl 0891.35143 Ding, Xiaxi (ed.) et al., Nonlinear evolutionary partial differential equations. Proceedings of the international conference, Beijing, China, June 21–25, 1993. Providence, RI: American Mathematical Society. AMS/IP Stud. Adv. Math. 3, 619-623 (1997). MSC: 35Q53 35A05 × Cite Format Result Cite Review PDF
Jeffrey, A.; Lu, Y. G. A study of the global weak solution for the isentropic equations of a polytropic gas. (English) Zbl 0884.35092 Ding, Xiaxi (ed.) et al., Nonlinear evolutionary partial differential equations. Proceedings of the international conference, Beijing, China, June 21–25, 1993. Providence, RI: American Mathematical Society. AMS/IP Stud. Adv. Math. 3, 261-270 (1997). Reviewer: Th.Sonar (Hamburg) MSC: 35L65 × Cite Format Result Cite Review PDF
Zhu, Changjiang Convergence of the viscosity solutions for the system of nonlinear elasticity. (English) Zbl 0879.73013 J. Math. Anal. Appl. 209, No. 2, 585-604 (1997). MSC: 74B20 35Q72 × Cite Format Result Cite Review PDF Full Text: DOI
Bereux, François; Bonnetier, Eric; LeFloch, Philippe G. Gas dynamics system: two special cases. (English) Zbl 0877.35075 SIAM J. Math. Anal. 28, No. 3, 499-515 (1997). MSC: 35L65 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Fang, Weifu; Ito, Kazufumi On the inhomogeneous system of isentropic gas dynamics by the viscosity method. (English) Zbl 0877.35102 Proc. R. Soc. Edinb., Sect. A 127, No. 2, 261-280 (1997). Reviewer: Th.Sonar (Hamburg) MSC: 35Q35 76N15 35D05 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Kan, Pui Tak; Santos, Marcelo M.; Xin, Zhouping Initial boundary value problem for a class of quadratic systems of conservation laws. (English) Zbl 0865.35085 Mat. Contemp. 11, 1-32 (1996). MSC: 35L65 35L50 × Cite Format Result Cite Review PDF
Chen, G.-Q.; Wang, D. Convergence of shock capturing schemes for the compressible Euler-Poisson equations. (English) Zbl 0858.76051 Commun. Math. Phys. 179, No. 2, 333-364 (1996). MSC: 76M20 76L05 35Q35 76N10 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Ito, Kazufumi Weak solutions to the one-dimensional non-isentropic gas dynamics by the vanishing viscosity method. (English) Zbl 0849.35071 Electron. J. Differ. Equ. 1996, No. 04, 17 p. (1996). MSC: 35L65 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Rubino, Bruno Convergence of the fractional step method for a \(2\times 2\) nonstrictly hyperbolic system of conservation laws. (English) Zbl 0870.35066 J. Math. Anal. Appl. 197, No. 1, 286-317 (1996). Reviewer: M.Shearer (Raleigh) MSC: 35L65 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Nesi, V. Bounds on the effective conductivity of two-dimensional composites made of \(n\geqq 3\) isotropic phases in prescribed volume fraction: The weighted translation method. (English) Zbl 0852.35016 Proc. R. Soc. Edinb., Sect. A 125, No. 6, 1219-1239 (1995). Reviewer: Z.Denkowski (Kraków) MSC: 35B27 35J35 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Amirat, Youcef; Hamdache, Kamel; Ziani, Abdelhamid Global existence of weak solutions for a parabolic-hyperbolic system arising on dynamics of porous media. (Existence globale de solutions faibles pour un système parabolique-hyperbolique intervenant en dynamique des milieux poreux.) (French. Abridged English version) Zbl 0838.76086 C. R. Acad. Sci., Paris, Sér. I 321, No. 2, 253-258 (1995). MSC: 76S05 35Q35 × Cite Format Result Cite Review PDF
Chen, Gui-Qiang; Dafermos, Constantine M. The vanishing viscosity method in one-dimensional thermoelasticity. (English) Zbl 0810.35055 Trans. Am. Math. Soc. 347, No. 2, 531-541 (1995). MSC: 35L65 35D05 35A35 × Cite Format Result Cite Review PDF Full Text: DOI
Bock, Jörg-Stefan The interaction of shock waves in hyperbolic systems in conservation form and a system from the elasticity theory. (Interaktion von Schockwellen bei hyperbolischen Systemen in Erhaltungsform und ein System aus der Elastizitätstheorie.) (German) Zbl 0852.35091 Berichte aus der Mathematik. Aachen: Shaker. 126 S. (Univ. Hamburg) (1994). Reviewer: H.Lange (Köln) MSC: 35L65 35L67 × Cite Format Result Cite Review PDF
Benzoni-Gavage, Sylvie; Serre, Denis Compensated compactness for a class of hyperbolic systems of \(p\geq 3\) conservation laws. (Compacité par compensation pour une classe de systèmes hyperboliques de \(p\geq 3\) lois de conservation.) (French) Zbl 0834.35081 Rev. Mat. Iberoam. 10, No. 3, 557-579 (1994). Reviewer: H.Lange (Köln) MSC: 35L65 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Makino, Tetu; Takeno, Shigeharu Initial boundary value problem for the spherically symmetric motion of isentropic gas. (English) Zbl 0797.76077 Japan J. Ind. Appl. Math. 11, No. 1, 171-183 (1994). MSC: 76N10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Bo Convergence of the Godunov scheme for a simplified one-dimensional hydrodynamic model for semiconductor devices. (English) Zbl 0785.76053 Commun. Math. Phys. 157, No. 1, 1-22 (1993). MSC: 76M20 65M12 65M06 78A99 × Cite Format Result Cite Review PDF Full Text: DOI
Frid, Hermano; dos Santos, Marcelo M. The Cauchy problem for a class of \(2 \times 2\) nonstrictly hyperbolic systems. (English) Zbl 0854.35065 Mat. Contemp. 3, 29-52 (1992). MSC: 35L60 × Cite Format Result Cite Review PDF
Lu, Yunguang Convergence of the viscosity method for a nonstrictly hyperbolic conservation law. (English) Zbl 0788.35089 Commun. Math. Phys. 150, No. 1, 59-64 (1992). MSC: 35L65 35D05 76N15 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Feireisl, Eduard Weakly damped quasilinear wave equation: Existence of time-periodic solutions. (English) Zbl 0757.35044 Nonlinear Anal., Theory Methods Appl. 17, No. 8, 711-723 (1991). Reviewer: L.Vazquez (Madrid) MSC: 35L70 35B10 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Morawetz, Cathleen S. An alternative proof of Di Perna’s theorem. (English) Zbl 0763.35056 Commun. Pure Appl. Math. 44, No. 8-9, 1081-1090 (1991). MSC: 35L60 76G25 76H05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Gui-Qiang Propagation and cancellation of oscillations for hyperbolic systems of conservation laws. (English) Zbl 0727.35085 Commun. Pure Appl. Math. 44, No. 1, 121-140 (1991). Reviewer: M.Slemrod (Madison) MSC: 35L65 35L80 × Cite Format Result Cite Review PDF Full Text: DOI
Yin, Jingxue Some problems of degenerate quasilinear parabolic equations. (English) Zbl 0756.35042 Adv. Math., Beijing 20, No. 4, 507 (1991). MSC: 35K65 35K35 35K55 35D05 × Cite Format Result Cite Review PDF
Hu, Jiaxin; Wang, Jinghua The Cauchy problem for a special system of quasilinear equations. (English) Zbl 0762.35061 J. Partial Differ. Equations 4, No. 1, 33-44 (1991). MSC: 35L45 35A15 35L60 35B65 49L25 × Cite Format Result Cite Review PDF
Kan, Pui Tak Nonstrictly hyperbolic conservation laws. (English) Zbl 0735.35093 Appl. Math. Lett. 4, No. 4, 83-87 (1991). MSC: 35L65 47J25 × Cite Format Result Cite Review PDF Full Text: DOI
Feireisl, Eduard Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations. (English) Zbl 0737.35040 Apl. Mat. 35, No. 3, 192-208 (1990). Reviewer: D.Huet (Nancy) MSC: 35L70 35D05 47J25 35B10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Vecchi, Italo Entropy compactification for nonlinear hyperbolic problems. (English) Zbl 0711.35079 Heidelberg: Univ. Heidelberg, Naturwiss.-Math. Fak., Thesis. 41 p. (1989). Reviewer: S.L.Svensson MSC: 35L65 35B30 35B25 35L60 74B20 76N15 35Dxx × Cite Format Result Cite Review PDF
Feireisl, E. A nonlinear functional equation on a torus with applications to the time- periodic problems in viscoelasticity. (English) Zbl 0714.35049 Mat. Apl. Comput. 8, No. 3, 205-218 (1989). Reviewer: E.Feireisl MSC: 35L70 45K05 35L55 74Hxx 35D05 × Cite Format Result Cite Review PDF
Cassis, B. Compensated compactness applied to a singular perturbed fourth order P.D.E. (English) Zbl 0703.35043 Commun. Partial Differ. Equations 14, No. 5, 619-634 (1989). Reviewer: D.Huet MSC: 35G99 35B25 × Cite Format Result Cite Review PDF Full Text: DOI
Maday, Yvon; Tadmor, Eitan Analysis of the spectral vanishing viscosity method for periodic conservation laws. (English) Zbl 0678.65066 SIAM J. Numer. Anal. 26, No. 4, 854-870 (1989). Reviewer: Fuhua Ling MSC: 65M12 65M15 35L65 35Q99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Paşa, Gelu I. Bounds for effective coefficients of periodic fiber-reinforced materials. (English) Zbl 0675.73008 SIAM J. Math. Anal. 20, No. 1, 106-115 (1989). Reviewer: M.C.Dökmeci MSC: 74E05 74E30 74S30 35B45 35B10 74E10 × Cite Format Result Cite Review PDF Full Text: DOI
Tadmor, Eitan Convergence of spectral methods for nonlinear conservation laws. (English) Zbl 0667.65079 SIAM J. Numer. Anal. 26, No. 1, 30-44 (1989). Reviewer: L.G.Vulkov MSC: 65M60 65M15 35Q99 35L65 × Cite Format Result Cite Review PDF Full Text: DOI Link
Dafermos, C. M. Solutions in \(L^{\infty}\) for a conservation law with memory. (English) Zbl 0686.35075 Analyse mathématique et applications, Contrib. Honneur Jacques-Louis Lions, 117-128 (1988). Reviewer: M.Shearer MSC: 35L65 35D05 35B25 35R10 × Cite Format Result Cite Review PDF
Ying, Longan Compensated compactness method and its application to quasilinear hyperbolic equations. (Chinese. English summary) Zbl 0677.35067 Adv. Math., Beijing 17, No. 1, 21-51 (1988). MSC: 35L60 35A35 35A05 × Cite Format Result Cite Review PDF
Nohel, J. A.; Rogers, R. C.; Tzavaras, A. E. Weak solutions for a nonlinear system in viscoelasticity. (English) Zbl 0635.73047 Commun. Partial Differ. Equations 13, No. 1, 97-127 (1988). Reviewer: R.Saxton MSC: 74Hxx 35A15 45K05 74C10 74B20 35L99 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Negro, A. Some problems of homogenization in quasistationary Maxwell equations. (English) Zbl 0644.73077 Applications of multiple scaling in mechanics, Proc. Int. Conf., Paris 1986, Rech. Math. Appl. 4, 246-258 (1987). Reviewer: H.Demiray MSC: 74F15 78A25 74E05 × Cite Format Result Cite Review PDF
Kohn, Robert V.; Milton, Graeme W. On bounding the effective conductivity of anisotropic composites. (English) Zbl 0631.73012 Homogenization and effective moduli of materials and media, Proc. Workshop, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 1, 97-125 (1986). Reviewer: J.J.Telega MSC: 74E05 74E10 74S30 74E30 × Cite Format Result Cite Review PDF
DiPerna, Ronald J. Oscillations in solutions to nonlinear differential equations. (English) Zbl 0619.35010 Oscillation theory, computation, and methods of compensated compactness, Proc. Workshop, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 2, 23-33 (1986). Reviewer: Simeon Reich MSC: 35B05 35A99 35L65 × Cite Format Result Cite Review PDF
Ventsel’, T. D. The method of compensated compactness applied to the analysis of one- dimensional gasdynamics equations. (English. Russian original) Zbl 0618.35071 Mosc. Univ. Math. Bull. 41, No. 4, 36-44 (1986); translation from Vestn. Mosk. Univ., Ser. I 1986, No. 4, 31-38 (1986). Reviewer: G.Popov MSC: 35L65 35A35 76N15 35B45 × Cite Format Result Cite Review PDF
Slemrod, M. Interrelationships among mechanics numerical analysis, compensated compactness, and oscillation theory. (English) Zbl 0603.65078 Oscillation theory, computation, and methods of compensated compactness, Proc. Workshop, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 2, 309-336 (1986). Reviewer: G.Jumarie MSC: 65Z05 35Q99 35L65 76M99 × Cite Format Result Cite Review PDF
Rascle, Michel On the convergence of the viscosity method for the system of nonlinear (1-D) elasticity. (English) Zbl 0596.35083 Nonlinear systems of partial differential equations in applied mathematics, Proc. SIAM-AMS Summer Semin., Santa Fe/N.M. 1984, Lect. Appl. Math. 23, Pt. 1, 359-378 (1986). Reviewer: G.Buttazzo MSC: 35L65 35L60 35L40 × Cite Format Result Cite Review PDF
Di Perna, Ronald J. Convergence of numerical methods for conservation laws. (English) Zbl 0606.65063 Numerical methods for the Euler equations of fluid dynamics, Proc. INRIA Workshop, Rocquencourt/France 1983, 3-13 (1985). MSC: 65M12 35J65 × Cite Format Result Cite Review PDF