Gallouët, Thierry; Hurisse, Olivier Convergence of a multidimensional Glimm-like scheme for the transport of fronts. (English) Zbl 07607688 IMA J. Numer. Anal. 42, No. 4, 2924-2958 (2022). MSC: 65Mxx PDFBibTeX XMLCite \textit{T. Gallouët} and \textit{O. Hurisse}, IMA J. Numer. Anal. 42, No. 4, 2924--2958 (2022; Zbl 07607688) Full Text: DOI
Mai Duc Thanh Remarks on nonclassical shock waves for van der Waals fluids. (English) Zbl 1233.35141 Acta Math. Vietnam. 36, No. 2, 451-468 (2011). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35L67 35L65 76N10 76L05 35D30 PDFBibTeX XMLCite \textit{Mai Duc Thanh}, Acta Math. Vietnam. 36, No. 2, 451--468 (2011; Zbl 1233.35141) Full Text: Link
Porto, Eliane Maracajá; Martins-Costa, Maria Laura; da Gama, Rogério M. Saldanha An alternative procedure for simulating one-dimensional transport phenomena with shock waves in a gas. (English) Zbl 1429.76029 Int. J. Numer. Methods Biomed. Eng. 27, No. 1, 157-172 (2011). MSC: 76-10 76L05 76M99 PDFBibTeX XMLCite \textit{E. M. Porto} et al., Int. J. Numer. Methods Biomed. Eng. 27, No. 1, 157--172 (2011; Zbl 1429.76029) Full Text: DOI
Kim, H.; Laforest, M.; Yoon, D. An adaptive version of Glimm’s scheme. (English) Zbl 1240.65251 Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 2, 428-446 (2010). MSC: 65M06 65M15 35L65 PDFBibTeX XMLCite \textit{H. Kim} et al., Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 2, 428--446 (2010; Zbl 1240.65251) Full Text: DOI
Geng, Yongcai; Li, Yachun Non-relativistic global limits of entropy solutions to the extremely relativistic Euler equations. (English) Zbl 1273.76454 Z. Angew. Math. Phys. 61, No. 2, 201-220 (2010). MSC: 76Y05 35Q35 35Q75 PDFBibTeX XMLCite \textit{Y. Geng} and \textit{Y. Li}, Z. Angew. Math. Phys. 61, No. 2, 201--220 (2010; Zbl 1273.76454) Full Text: DOI
Ancona, Fabio; Marson, Andrea On the convergence rate for the Glimm scheme. (English) Zbl 1194.35253 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, 175-194 (2009). Reviewer: Gisbert Stoyan (Budapest) MSC: 35L65 65M15 PDFBibTeX XMLCite \textit{F. Ancona} and \textit{A. Marson}, Proc. Symp. Appl. Math. 67, 175--194 (2009; Zbl 1194.35253)
Li, Yachun; Geng, Yongcai Non-relativistic global limits of entropy solutions to the isentropic relativistic Euler equations. (English) Zbl 1161.35321 Z. Angew. Math. Phys. 57, No. 6, 960-983 (2006). MSC: 35B40 35A05 76Y05 35B35 35L65 85A05 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Y. Geng}, Z. Angew. Math. Phys. 57, No. 6, 960--983 (2006; Zbl 1161.35321) Full Text: DOI
Ye, Xiaoping; Lin, Longwei Error bounds for Glimm difference approximations for scalar conservation laws without convexity. (English) Zbl 1107.35082 Acta Math. Sin., Engl. Ser. 22, No. 4, 1271-1282 (2006). Reviewer: Stefan Balint (Timişoara) MSC: 35L65 35L60 65M06 PDFBibTeX XMLCite \textit{X. Ye} and \textit{L. Lin}, Acta Math. Sin., Engl. Ser. 22, No. 4, 1271--1282 (2006; Zbl 1107.35082) Full Text: DOI
Neves, Wladimir; Serre, Denis Ill-posedness of the Cauchy problem for totally degenerate system of conservation laws. (English) Zbl 1105.35138 Electron. J. Differ. Equ. 2005, Paper No. 124, 25 p. (2005). Reviewer: Camillo De Lellis (Zürich) MSC: 35R25 35L65 35L45 35L67 26B12 PDFBibTeX XMLCite \textit{W. Neves} and \textit{D. Serre}, Electron. J. Differ. Equ. 2005, Paper No. 124, 25 p. (2005; Zbl 1105.35138) Full Text: EuDML EMIS
Tsuge, Naoki The compressible Euler equations for an isothermal gas with spherical symmetry. (English) Zbl 1056.76070 J. Math. Kyoto Univ. 43, No. 4, 737-754 (2004). MSC: 76N10 35Q35 PDFBibTeX XMLCite \textit{N. Tsuge}, J. Math. Kyoto Univ. 43, No. 4, 737--754 (2004; Zbl 1056.76070) Full Text: DOI
Chalons, C.; LeFloch, P. G. Computing undercompressive waves with the random choice scheme. Nonclassical shock waves. (English) Zbl 1038.35134 Interfaces Free Bound. 5, No. 2, 129-158 (2003). Reviewer: Fabio Bagagiolo (Trento) MSC: 35Q72 74H15 35L60 35L65 35L67 PDFBibTeX XMLCite \textit{C. Chalons} and \textit{P. G. LeFloch}, Interfaces Free Bound. 5, No. 2, 129--158 (2003; Zbl 1038.35134) Full Text: DOI
Martins-Costa, Maria Laura; Saldanha da Gama, Rogério M. Numerical simulation of one-dimensional flows through porous media with shock waves. (English) Zbl 1005.76070 Int. J. Numer. Methods Eng. 52, No. 10, 1047-1067 (2001). MSC: 76M20 76S05 76L05 76T30 PDFBibTeX XMLCite \textit{M. L. Martins-Costa} and \textit{R. M. Saldanha da Gama}, Int. J. Numer. Methods Eng. 52, No. 10, 1047--1067 (2001; Zbl 1005.76070) Full Text: DOI
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 PDFBibTeX XMLCite \textit{T. Luo} and \textit{T. Yang}, J. Differ. Equations 161, No. 1, 42--86 (2000; Zbl 0957.35111) Full Text: DOI
Luo, Tao; Natalini, Roberto; Yang, Tong Global BV solutions to a \(p\)-system with relaxation. (English) Zbl 0957.35110 J. Differ. Equations 162, No. 1, 174-198 (2000). Reviewer: Thomas Sonar (Braunschweig) MSC: 35Q35 35D05 PDFBibTeX XMLCite \textit{T. Luo} et al., J. Differ. Equations 162, No. 1, 174--198 (2000; Zbl 0957.35110) Full Text: DOI
Corli, Andrea Noncharacteristic phase boundaries for general systems of conservation laws. (English) Zbl 0957.35085 Ital. J. Pure Appl. Math. 6, 43-62 (1999). Reviewer: Arkadi Berezovski (Tallinn) MSC: 35L65 35L67 PDFBibTeX XMLCite \textit{A. Corli}, Ital. J. Pure Appl. Math. 6, 43--62 (1999; Zbl 0957.35085)
Liu, Tai-Ping; Yang, Tong \(L_1\) stability for \(2\times 2\) systems of hyperbolic conservation laws. (English) Zbl 0924.35083 J. Am. Math. Soc. 12, No. 3, 729-774 (1999). Reviewer: A.Doktor (Praha) MSC: 35L67 35L45 76L05 35L65 PDFBibTeX XMLCite \textit{T.-P. Liu} and \textit{T. Yang}, J. Am. Math. Soc. 12, No. 3, 729--774 (1999; Zbl 0924.35083) Full Text: DOI
Yang, Tong Euler equations with spherical symmetry and an outing absorbing boundary. (English) Zbl 0932.35168 Commun. Partial Differ. Equations 24, No. 1-2, 1-23 (1999). Reviewer: M.Rodriguez Ricard (La Habana) MSC: 35Q35 76N15 PDFBibTeX XMLCite \textit{T. Yang}, Commun. Partial Differ. Equations 24, No. 1--2, 1--23 (1999; Zbl 0932.35168) Full Text: DOI
Rykov, Yu. G. The Cauchy problem for systems of equations of one dimensional gas dynamic. (English. Russian original) Zbl 0915.35084 Trans. Mosc. Math. Soc. 1998, 210-216 (1998); translation from Tr. Mosk. Mat. O.-va 59, 221-239 (1998). Reviewer: V.A.Sava (Iaşi) MSC: 35Q35 35L65 35A35 PDFBibTeX XMLCite \textit{Yu. G. Rykov}, Trans. Mosc. Math. Soc. 1998, 210--216 (1998; Zbl 0915.35084); translation from Tr. Mosk. Mat. O.-va 59, 221--239 (1998)
Freitas Rachid, F. B.; Costa Mattos, H. S. Modelling of pipeline integrity taking into account the fluid-structure interaction. (English) Zbl 0916.73077 Int. J. Numer. Methods Fluids 28, No. 2, 337-355 (1998). MSC: 74S20 74F10 74R99 PDFBibTeX XMLCite \textit{F. B. Freitas Rachid} and \textit{H. S. Costa Mattos}, Int. J. Numer. Methods Fluids 28, No. 2, 337--355 (1998; Zbl 0916.73077) Full Text: DOI
Liu, Hongxia; Lin, Longwei Some perturbation problems on \(2\times 2\) nonlinear hyperbolic conservation laws. (English) Zbl 0915.35072 J. Partial Differ. Equations 11, No. 3, 245-259 (1998). MSC: 35L67 35B20 35L65 PDFBibTeX XMLCite \textit{H. Liu} and \textit{L. Lin}, J. Partial Differ. Equations 11, No. 3, 245--259 (1998; Zbl 0915.35072)
Freitas Rachid, Felipe B.; Costa Mattos, Heraldo S. Modelling the damage induced by pressure transients in elasto-plastic pipes. (English) Zbl 0915.73040 Meccanica 33, No. 2, 139-160 (1998). MSC: 74R99 74C99 74F10 74S20 PDFBibTeX XMLCite \textit{F. B. Freitas Rachid} and \textit{H. S. Costa Mattos}, Meccanica 33, No. 2, 139--160 (1998; Zbl 0915.73040) Full Text: DOI
Bressan, Alberto; Marson, Andrea Error bounds for a deterministic version of the Glimm scheme. (English) Zbl 0909.65057 Arch. Ration. Mech. Anal. 142, No. 2, 155-176 (1998). Reviewer: M.Mock (Jerusalem) MSC: 65M15 65M06 35L65 PDFBibTeX XMLCite \textit{A. Bressan} and \textit{A. Marson}, Arch. Ration. Mech. Anal. 142, No. 2, 155--176 (1998; Zbl 0909.65057) Full Text: DOI
Saldanha da Gama, R. M.; Martins-Costa, M. L. Incompressible fluid flow and heat transfer through a nonsaturated porous medium. (English) Zbl 0907.76090 Comput. Mech. 20, No. 6, 479-494 (1997). MSC: 76S05 76M20 80A20 PDFBibTeX XMLCite \textit{R. M. Saldanha da Gama} and \textit{M. L. Martins-Costa}, Comput. Mech. 20, No. 6, 479--494 (1997; Zbl 0907.76090) Full Text: DOI
Liu, Hongxia; Lin, Longwei Perturbation of two elementary waves with interaction. (English) Zbl 0895.35060 Methods Appl. Anal. 4, No. 4, 357-374 (1997). MSC: 35L60 35L45 35L65 35B20 PDFBibTeX XMLCite \textit{H. Liu} and \textit{L. Lin}, Methods Appl. Anal. 4, No. 4, 357--374 (1997; Zbl 0895.35060) Full Text: DOI
Corli, Andrea; Sablé-Tougeron, Monique Stability of contact discontinuities under perturbations of bounded variation. (English) Zbl 0893.35070 Rend. Semin. Mat. Univ. Padova 97, 35-60 (1997). Reviewer: A.Doktor (Praha) MSC: 35L65 35L67 35R05 35L45 PDFBibTeX XMLCite \textit{A. Corli} and \textit{M. Sablé-Tougeron}, Rend. Semin. Mat. Univ. Padova 97, 35--60 (1997; Zbl 0893.35070) Full Text: Numdam EuDML
Zhong, Xiaoguang; Hou, Thomas Y.; LeFloch, Philippe G. Computational method for propagating phase boundaries. (English) Zbl 0855.73080 J. Comput. Phys. 124, No. 1, 192-216 (1996). MSC: 74S20 74A15 80A22 PDFBibTeX XMLCite \textit{X. Zhong} et al., J. Comput. Phys. 124, No. 1, 192--216 (1996; Zbl 0855.73080) Full Text: DOI
Yang, Tong A functional integral approach to shock wave solutions of Euler equations with spherical symmetry. (English) Zbl 0840.35062 Commun. Math. Phys. 171, No. 3, 607-638 (1995). MSC: 35L67 35Q30 76L05 PDFBibTeX XMLCite \textit{T. Yang}, Commun. Math. Phys. 171, No. 3, 607--638 (1995; Zbl 0840.35062) Full Text: DOI
Makino, Tetu; Mizohata, Kiyoshi; Ukai, Seiji Global weak solutions of the compressible Euler equation with spherical symmetry. II. (English) Zbl 0812.35101 Japan J. Ind. Appl. Math. 11, No. 3, 417-426 (1994). MSC: 35Q35 76L05 35L40 PDFBibTeX XMLCite \textit{T. Makino} et al., Japan J. Ind. Appl. Math. 11, No. 3, 417--426 (1994; Zbl 0812.35101) Full Text: DOI
Young, Robin Sup-norm stability for Glimm’s scheme. (English) Zbl 0792.35120 Commun. Pure Appl. Math. 46, No. 6, 903-948 (1993). Reviewer: R.Young (New York) MSC: 35L65 35L45 35L67 35D05 PDFBibTeX XMLCite \textit{R. Young}, Commun. Pure Appl. Math. 46, No. 6, 903--948 (1993; Zbl 0792.35120) Full Text: DOI
Jiang, Guangshan; Wang, Jinghua Entropy consistency of large time step schemes for isentropic equations of gas dynamics. (English) Zbl 0796.76055 Acta Math. Sci. 13, No. 4, 361-383 (1993). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{G. Jiang} and \textit{J. Wang}, Acta Math. Sci. 13, No. 4, 361--383 (1993; Zbl 0796.76055)
Schochet, Steven Sufficient conditions for local existence via Glimm’s scheme for large BV data. (English) Zbl 0733.35072 J. Differ. Equations 89, No. 2, 317-354 (1991). Reviewer: L.Rodino (Torino) MSC: 35L60 35Q35 35L67 PDFBibTeX XMLCite \textit{S. Schochet}, J. Differ. Equations 89, No. 2, 317--354 (1991; Zbl 0733.35072) Full Text: DOI
Saldanha da Gama, Rogério Martins An alternative numerical procedure for simulating the dynamical response of nonlinear elastic rods. (English) Zbl 0714.73086 Int. J. Numer. Methods Eng. 29, No. 1, 123-139 (1990). MSC: 74S30 74H45 74K10 74B20 65N99 35L65 PDFBibTeX XMLCite \textit{R. M. Saldanha da Gama}, Int. J. Numer. Methods Eng. 29, No. 1, 123--139 (1990; Zbl 0714.73086) Full Text: DOI
Lin, Longwei; Hsieh, Feipeng Characteristic methods in a certain macroscopic sense for Glimm’s scheme. (English) Zbl 0708.35051 Commun. Partial Differ. Equations 15, No. 8, 1179-1197 (1990). Reviewer: Longwei Lin MSC: 35L60 76N15 PDFBibTeX XMLCite \textit{L. Lin} and \textit{F. Hsieh}, Commun. Partial Differ. Equations 15, No. 8, 1179--1197 (1990; Zbl 0708.35051) Full Text: DOI
Lin, Longwei; Hsieh, Feipeng Vacuum states and equidistribution of the random sequence for Glimm’s scheme. (English) Zbl 0698.76079 J. Partial Differ. Equations 2, No. 1, 9-15 (1989). MSC: 76N15 35L60 PDFBibTeX XMLCite \textit{L. Lin} and \textit{F. Hsieh}, J. Partial Differ. Equations 2, No. 1, 9--15 (1989; Zbl 0698.76079)
Wang, Jinghua Large time step generalizations of Glimm’s scheme for systems of conservation laws. (English) Zbl 0715.65069 Chin. Ann. Math., Ser. B 9, No. 4, 456-469 (1988). Reviewer: P.Y.Yalamov MSC: 65M06 65M12 76N15 35L65 PDFBibTeX XMLCite \textit{J. Wang}, Chin. Ann. Math., Ser. B 9, No. 4, 456--469 (1988; Zbl 0715.65069)
Patiño, Jorge G. S. Global solutions for almost linear hyperbolic equations. (Portuguese) Zbl 0666.35057 Proc. 15th Braz. Colloq. Math. Pocǫs de Caldas/Braz. 1985, 467-471 (1987). Reviewer: J.Hernández MSC: 35L60 35A05 PDFBibTeX XML
Lucier, Bradley J. Error bounds for the methods of Glimm, Godunov and Leveque. (English) Zbl 0584.65059 SIAM J. Numer. Anal. 22, 1074-1081 (1985). Reviewer: G.Hedstrom MSC: 65M15 65M12 35L65 PDFBibTeX XMLCite \textit{B. J. Lucier}, SIAM J. Numer. Anal. 22, 1074--1081 (1985; Zbl 0584.65059) Full Text: DOI
Li, Kon-Ming; Holt, Maurice Numerical solutions to water waves generated by shallow underwater explosions. (English) Zbl 0466.76013 Phys. Fluids 24, 816-824 (1981). MSC: 76B15 65Z05 PDFBibTeX XMLCite \textit{K.-M. Li} and \textit{M. Holt}, Phys. Fluids 24, 816--824 (1981; Zbl 0466.76013) Full Text: DOI
Ying, Lung-an; Wang, Ching-hua Solutions in the large for nonhomogeneous quasilinear hyperbolic systems of equations. (English) Zbl 0457.35058 J. Math. Anal. Appl. 78, 440-454 (1980). MSC: 35L65 35A05 PDFBibTeX XMLCite \textit{L.-a. Ying} and \textit{C.-h. Wang}, J. Math. Anal. Appl. 78, 440--454 (1980; Zbl 0457.35058) Full Text: DOI
Xiao, Ling; Zhang, Tong Interactions of elementary waves in one-dimensional adiabatic flow. (Chinese) Zbl 0444.76046 Acta Math. Sin. 22, 596-614 (1979). MSC: 76L05 PDFBibTeX XMLCite \textit{L. Xiao} and \textit{T. Zhang}, Acta Math. Sin. 22, 596--614 (1979; Zbl 0444.76046)
Ritter, Z. W. The use of Chorin’s method for explosive-metal systems. (English) Zbl 0407.76038 Acta Astronaut. 6, 603-613 (1979). MSC: 76L05 74F10 PDFBibTeX XMLCite \textit{Z. W. Ritter}, Acta Astronaut. 6, 603--613 (1979; Zbl 0407.76038) Full Text: DOI