Pang, Yicheng; Shao, Liuyang; Wen, Yongsong; Ge, Jianjun The \(\delta'\) wave solution to a totally degenerate system of conservation laws. (English) Zbl 1504.35191 Chaos Solitons Fractals 161, Article ID 112302, 12 p. (2022). MSC: 35L65 35C05 PDF BibTeX XML Cite \textit{Y. Pang} et al., Chaos Solitons Fractals 161, Article ID 112302, 12 p. (2022; Zbl 1504.35191) Full Text: DOI
Pichard, Teddy A moment closure based on a projection on the boundary of the realizability domain: extension and analysis. (English) Zbl 1496.82021 Kinet. Relat. Models 15, No. 5, 793-822 (2022). MSC: 82C40 35L65 35A35 35L80 94A17 PDF BibTeX XML Cite \textit{T. Pichard}, Kinet. Relat. Models 15, No. 5, 793--822 (2022; Zbl 1496.82021) Full Text: DOI
Peng, Wen-Jian; Wang, Tian-Yi On vanishing pressure limit of continuous solutions to the isentropic Euler equations. (English) Zbl 1501.35302 J. Hyperbolic Differ. Equ. 19, No. 2, 311-336 (2022). MSC: 35Q31 76N10 76L05 35B44 PDF BibTeX XML Cite \textit{W.-J. Peng} and \textit{T.-Y. Wang}, J. Hyperbolic Differ. Equ. 19, No. 2, 311--336 (2022; Zbl 1501.35302) Full Text: DOI
Kalisch, Henrik; Mitrovic, Darko On existence and admissibility of singular solutions for systems of conservation laws. (English) Zbl 1513.35384 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 175, 20 p. (2022). MSC: 35L65 35L67 35Q35 PDF BibTeX XML Cite \textit{H. Kalisch} and \textit{D. Mitrovic}, Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 175, 20 p. (2022; Zbl 1513.35384) Full Text: DOI
Bourdarias, Christian; Choudhury, Anupam Pal; Guelmame, Billel; Junca, Stéphane Entropy solutions in \(BV^s\) for a class of triangular systems involving a transport equation. (English) Zbl 1494.35115 SIAM J. Math. Anal. 54, No. 1, 791-817 (2022). Reviewer: Evgeniy Panov (Veliky Novgorod) MSC: 35L65 35L67 35Q49 35B65 26A45 35L45 PDF BibTeX XML Cite \textit{C. Bourdarias} et al., SIAM J. Math. Anal. 54, No. 1, 791--817 (2022; Zbl 1494.35115) Full Text: DOI
Li, Shiwei Riemann problem for a class of non-strictly hyperbolic systems of conservation laws. (English) Zbl 1482.35130 Acta Appl. Math. 177, Paper No. 3, 19 p. (2022). MSC: 35L65 35L45 35L67 PDF BibTeX XML Cite \textit{S. Li}, Acta Appl. Math. 177, Paper No. 3, 19 p. (2022; Zbl 1482.35130) Full Text: DOI
Garg, Naveen Kumar; Gowda, G. D. Veerappa Godunov-type schemes for the pressureless gas dynamics and related models. (English) Zbl 1510.76100 Appl. Math. Comput. 418, Article ID 126790, 14 p. (2022). MSC: 76M12 15A21 35L65 65M08 76N15 PDF BibTeX XML Cite \textit{N. K. Garg} and \textit{G. D. V. Gowda}, Appl. Math. Comput. 418, Article ID 126790, 14 p. (2022; Zbl 1510.76100) Full Text: DOI
Krunić, Tanja; Nedeljkov, Marko Shadow wave solutions for a scalar two-flux conservation law with Rankine-Hugoniot deficit. (English) Zbl 1481.35273 J. Hyperbolic Differ. Equ. 18, No. 3, 539-556 (2021). MSC: 35L65 35L67 PDF BibTeX XML Cite \textit{T. Krunić} and \textit{M. Nedeljkov}, J. Hyperbolic Differ. Equ. 18, No. 3, 539--556 (2021; Zbl 1481.35273) Full Text: DOI arXiv
Das, Abhishek; Joseph, K. T. Solution of a transport equation with discontinuous coefficients. (English) Zbl 1479.35233 J. Appl. Anal. 27, No. 2, 219-238 (2021). MSC: 35F61 35B40 35D30 35L50 35L65 35R05 PDF BibTeX XML Cite \textit{A. Das} and \textit{K. T. Joseph}, J. Appl. Anal. 27, No. 2, 219--238 (2021; Zbl 1479.35233) Full Text: DOI
Abreu, Eduardo; De la cruz, Richard; Lambert, Wanderson Riemann problems and delta-shock solutions for a Keyfitz-Kranzer system with a forcing term. (English) Zbl 1466.35263 J. Math. Anal. Appl. 502, No. 2, Article ID 125267, 30 p. (2021). MSC: 35L67 35L45 35L60 PDF BibTeX XML Cite \textit{E. Abreu} et al., J. Math. Anal. Appl. 502, No. 2, Article ID 125267, 30 p. (2021; Zbl 1466.35263) Full Text: DOI
Zhang, Yanyan; Zhang, Yu Interactions of delta shock waves for a class of nonstrictly hyperbolic system of conservation laws. (English) Zbl 1478.35149 J. Appl. Anal. Comput. 10, No. 6, 2381-2399 (2020). MSC: 35L65 35L67 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{Y. Zhang}, J. Appl. Anal. Comput. 10, No. 6, 2381--2399 (2020; Zbl 1478.35149) Full Text: DOI
Cheng, Hongjun; Yang, Hanchun Riemann problem for the 2D scalar conservation law involving linear fluxes with discontinuous coefficients. (English) Zbl 1454.35248 J. Math. Phys. 61, No. 11, 111504, 20 p. (2020). MSC: 35Q15 35C06 35L67 76L05 35R05 PDF BibTeX XML Cite \textit{H. Cheng} and \textit{H. Yang}, J. Math. Phys. 61, No. 11, 111504, 20 p. (2020; Zbl 1454.35248) Full Text: DOI
Li, Shiwei; Wang, Qin; Yang, Hanchun Riemann problem for the Aw-Rascle model of traffic flow with general pressure. (English) Zbl 1450.35170 Bull. Malays. Math. Sci. Soc. (2) 43, No. 5, 3757-3775 (2020). MSC: 35L65 35B30 76E19 35Q35 35L67 90B20 PDF BibTeX XML Cite \textit{S. Li} et al., Bull. Malays. Math. Sci. Soc. (2) 43, No. 5, 3757--3775 (2020; Zbl 1450.35170) Full Text: DOI
Li, Shiwei; Cheng, Hongjun; Yang, Hanchun Pressureless magnetohydrodynamics system: Riemann problem and vanishing magnetic field limit. (English) Zbl 1435.35249 Adv. Math. Phys. 2020, Article ID 6382545, 13 p. (2020). MSC: 35L67 35Q31 76W05 PDF BibTeX XML Cite \textit{S. Li} et al., Adv. Math. Phys. 2020, Article ID 6382545, 13 p. (2020; Zbl 1435.35249) Full Text: DOI
Cheng, Hongjun Riemann problem for the isentropic Chaplygin gas Cargo-LeRoux model. (English) Zbl 1437.76045 J. Math. Phys. 60, No. 8, 081507, 15 p. (2019). Reviewer: Evgeniy Panov (Novgorod) MSC: 76N10 76L05 35Q31 35L65 PDF BibTeX XML Cite \textit{H. Cheng}, J. Math. Phys. 60, No. 8, 081507, 15 p. (2019; Zbl 1437.76045) Full Text: DOI
Zhang, Yu; Zhang, Yanyan Delta-shocks and vacuums in the relativistic Euler equations for isothermal fluids with the flux approximation. (English) Zbl 1406.76093 J. Math. Phys. 60, No. 1, 011508, 16 p. (2019). MSC: 76Y05 35Q31 76L05 35Q15 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{Y. Zhang}, J. Math. Phys. 60, No. 1, 011508, 16 p. (2019; Zbl 1406.76093) Full Text: DOI
Cheng, Hongjun; Li, Shiwei A deposition model: Riemann problem and flux-function limits of solutions. (English) Zbl 1470.35230 Abstr. Appl. Anal. 2018, Article ID 8569435, 14 p. (2018). MSC: 35L65 35L45 PDF BibTeX XML Cite \textit{H. Cheng} and \textit{S. Li}, Abstr. Appl. Anal. 2018, Article ID 8569435, 14 p. (2018; Zbl 1470.35230) Full Text: DOI
Yang, Hanchun; Wang, Jinhuan Concentration in vanishing pressure limit of solutions to the modified Chaplygin gas equations. (English) Zbl 1355.83039 J. Math. Phys. 57, No. 11, 111504, 26 p. (2016). Reviewer: Hans-Jürgen Schmidt (Potsdam) MSC: 83F05 83C15 76N15 76L05 76E20 35Q30 85A40 83-08 83C75 PDF BibTeX XML Cite \textit{H. Yang} and \textit{J. Wang}, J. Math. Phys. 57, No. 11, 111504, 26 p. (2016; Zbl 1355.83039) Full Text: DOI
Cai, Wei; Zhang, Yanyan Interactions of delta shock waves for zero-pressure gas dynamics with energy conservation law. (English) Zbl 1347.35165 Adv. Math. Phys. 2016, Article ID 1783689, 12 p. (2016). MSC: 35L67 76N15 35Q31 PDF BibTeX XML Cite \textit{W. Cai} and \textit{Y. Zhang}, Adv. Math. Phys. 2016, Article ID 1783689, 12 p. (2016; Zbl 1347.35165) Full Text: DOI
Yang, Hanchun; Wang, Jinhuan Delta-shocks and vacuum states in the vanishing pressure limit of solutions to the isentropic Euler equations for modified Chaplygin gas. (English) Zbl 1308.76233 J. Math. Anal. Appl. 413, No. 2, 800-820 (2014). MSC: 76N15 PDF BibTeX XML Cite \textit{H. Yang} and \textit{J. Wang}, J. Math. Anal. Appl. 413, No. 2, 800--820 (2014; Zbl 1308.76233) Full Text: DOI
Cheng, Hongjun; Yang, Hanchun On a nonsymmetric Keyfitz-Kranzer system of conservation laws with generalized and modified Chaplygin gas pressure law. (English) Zbl 1291.35127 Adv. Math. Phys. 2013, Article ID 187217, 14 p. (2013). MSC: 35L65 35L67 PDF BibTeX XML Cite \textit{H. Cheng} and \textit{H. Yang}, Adv. Math. Phys. 2013, Article ID 187217, 14 p. (2013; Zbl 1291.35127) Full Text: DOI
Yang, Hanchun; Zhang, Yanyan New developments of delta shock waves and its applications in systems of conservation laws. (English) Zbl 1248.35127 J. Differ. Equations 252, No. 11, 5951-5993 (2012). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L67 35L65 76L05 PDF BibTeX XML Cite \textit{H. Yang} and \textit{Y. Zhang}, J. Differ. Equations 252, No. 11, 5951--5993 (2012; Zbl 1248.35127) Full Text: DOI
Albeverio, S.; Danilov, V. G. Global in time solutions to Kolmogorov-Feller pseudodifferential equations with small parameter. (English) Zbl 1251.35204 Russ. J. Math. Phys. 18, No. 1, 10-25 (2011). MSC: 35S05 35F21 35A30 PDF BibTeX XML Cite \textit{S. Albeverio} and \textit{V. G. Danilov}, Russ. J. Math. Phys. 18, No. 1, 10--25 (2011; Zbl 1251.35204) Full Text: DOI arXiv
Cheng, Hongjun; Yang, Hanchun Delta shock waves as limits of vanishing viscosity for 2-D steady pressureless isentropic flow. (English) Zbl 1216.35080 Acta Appl. Math. 113, No. 3, 323-348 (2011). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35Q35 35L67 PDF BibTeX XML Cite \textit{H. Cheng} and \textit{H. Yang}, Acta Appl. Math. 113, No. 3, 323--348 (2011; Zbl 1216.35080) Full Text: DOI
Fornet, Bruno Viscous approach for linear hyperbolic systems with discontinuous coefficients. (English) Zbl 1182.35030 Ann. Fac. Sci. Toulouse, Math. (6) 18, No. 2, 397-443 (2009). MSC: 35B35 35L45 35D40 35R05 PDF BibTeX XML Cite \textit{B. Fornet}, Ann. Fac. Sci. Toulouse, Math. (6) 18, No. 2, 397--443 (2009; Zbl 1182.35030) Full Text: DOI Numdam EuDML
Shelkovich, V. M. The Rankine-Hugoniot conditions and balance laws for \(\delta \) -shocks. (English) Zbl 1151.35400 J. Math. Sci., New York 151, No. 1, 2781-2792 (2008); translation from Fundam. Prikl. Mat. 12, No. 6, 213-229 (2006). MSC: 35L65 35L67 PDF BibTeX XML Cite \textit{V. M. Shelkovich}, J. Math. Sci., New York 151, No. 1, 2781--2792 (2008; Zbl 1151.35400); translation from Fundam. Prikl. Mat. 12, No. 6, 213--229 (2006) Full Text: DOI
Sun, Wen-Hua; Sheng, Wan-Cheng Two-dimensional non-selfsimilar initial value problem for adhesion particle dynamics. (English) Zbl 1231.35251 Appl. Math. Mech., Engl. Ed. 28, No. 9, 1191-1198 (2007). MSC: 35Q70 35L65 76N10 PDF BibTeX XML Cite \textit{W.-H. Sun} and \textit{W.-C. Sheng}, Appl. Math. Mech., Engl. Ed. 28, No. 9, 1191--1198 (2007; Zbl 1231.35251) Full Text: DOI
Yang, Hanchun; Sun, Wenhua The Riemann problem with delta initial data for a class of coupled hyperbolic systems of conservation laws. (English) Zbl 1120.35067 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 11, 3041-3049 (2007). MSC: 35L65 76N15 35L67 PDF BibTeX XML Cite \textit{H. Yang} and \textit{W. Sun}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 11, 3041--3049 (2007; Zbl 1120.35067) Full Text: DOI
Shelkovich, V. M. The Riemann problem admitting \(\delta-, \delta ^{\prime }\)-shocks, and vacuum states (the vanishing viscosity approach). (English) Zbl 1108.35117 J. Differ. Equations 231, No. 2, 459-500 (2006). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L67 35L65 76L05 PDF BibTeX XML Cite \textit{V. M. Shelkovich}, J. Differ. Equations 231, No. 2, 459--500 (2006; Zbl 1108.35117) Full Text: DOI
Panov, E. Yu.; Shelkovich, V. M. \(\delta ^{\prime }\)-shock waves as a new type of solutions to systems of conservation laws. (English) Zbl 1108.35116 J. Differ. Equations 228, No. 1, 49-86 (2006). MSC: 35L67 35L65 76L05 PDF BibTeX XML Cite \textit{E. Yu. Panov} and \textit{V. M. Shelkovich}, J. Differ. Equations 228, No. 1, 49--86 (2006; Zbl 1108.35116) Full Text: DOI
James, Francois; Bouchut, Francois; Mancini, Simona Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient. (English) Zbl 1170.35363 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 4, No. 1, 1-25 (2005). MSC: 35F10 34A36 35D05 35B35 PDF BibTeX XML Cite \textit{F. James} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 4, No. 1, 1--25 (2005; Zbl 1170.35363) Full Text: arXiv EuDML
Danilov, V. G.; Shelkovich, V. M. Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems. (English) Zbl 1072.35121 J. Differ. Equations 211, No. 2, 333-381 (2005). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35L67 35L65 76L05 PDF BibTeX XML Cite \textit{V. G. Danilov} and \textit{V. M. Shelkovich}, J. Differ. Equations 211, No. 2, 333--381 (2005; Zbl 1072.35121) Full Text: DOI
Joseph, K. T. Exact solution of a system of generalized Hopf equations. (English) Zbl 1011.35092 Z. Anal. Anwend. 21, No. 3, 669-680 (2002). Reviewer: C.Bouzar (Oran) MSC: 35L60 35D05 35L45 46F30 PDF BibTeX XML Cite \textit{K. T. Joseph}, Z. Anal. Anwend. 21, No. 3, 669--680 (2002; Zbl 1011.35092) Full Text: DOI
Sever, Michael A class of nonlinear, nonhyperbolic systems of conservation laws with well-posed initial value problems. (English) Zbl 1012.35056 J. Differ. Equations 180, No. 1, 238-271 (2002). Reviewer: Chen Shuxing (Shanghai) MSC: 35L65 35F25 PDF BibTeX XML Cite \textit{M. Sever}, J. Differ. Equations 180, No. 1, 238--271 (2002; Zbl 1012.35056) Full Text: DOI
Yang, Hanchun Generalized plane delta-shock waves for \(n\)-dimensional zero-pressure gas dynamics. (English) Zbl 0985.35044 J. Math. Anal. Appl. 260, No. 1, 18-35 (2001). Reviewer: S.Balint (Timişoara) MSC: 35L67 76N15 PDF BibTeX XML Cite \textit{H. Yang}, J. Math. Anal. Appl. 260, No. 1, 18--35 (2001; Zbl 0985.35044) Full Text: DOI
Yang, Hanchun Riemann problems for a class of coupled hyperbolic systems of conservation laws. (English) Zbl 0948.35079 J. Differ. Equations 159, No. 2, 447-484 (1999). Reviewer: M.Shearer (Raleigh) MSC: 35L65 PDF BibTeX XML Cite \textit{H. Yang}, J. Differ. Equations 159, No. 2, 447--484 (1999; Zbl 0948.35079) Full Text: DOI
Bouchut, F.; James, F. One-dimensional transport equations with discontinuous coefficients. (English) Zbl 0989.35130 Nonlinear Anal., Theory Methods Appl. 32, No. 7, 891-933 (1998). MSC: 35R05 35L65 PDF BibTeX XML Cite \textit{F. Bouchut} and \textit{F. James}, Nonlinear Anal., Theory Methods Appl. 32, No. 7, 891--933 (1998; Zbl 0989.35130) Full Text: DOI
Poupaud, F.; Rascle, M. Measure solutions to the linear multi-dimensional transport equation with non-smooth coefficients. (English) Zbl 0882.35026 Commun. Partial Differ. Equations 22, No. 1-2, 337-358 (1997). Reviewer: E.Barron (Chicago) MSC: 35D05 35F10 35R05 PDF BibTeX XML Cite \textit{F. Poupaud} and \textit{M. Rascle}, Commun. Partial Differ. Equations 22, No. 1--2, 337--358 (1997; Zbl 0882.35026) Full Text: DOI