Chugainova, A. P.; Kulikovskii, A. G. Structures of longitudinal-torsional shock waves and special discontinuities in nonlinearly viscoelastic media with dispersion. (English) Zbl 1522.74059 Contin. Mech. Thermodyn. 35, No. 4, 1655-1669 (2023). MSC: 74J40 74D99 PDFBibTeX XMLCite \textit{A. P. Chugainova} and \textit{A. G. Kulikovskii}, Contin. Mech. Thermodyn. 35, No. 4, 1655--1669 (2023; Zbl 1522.74059) Full Text: DOI
Chugainova, A. P.; Polekhina, R. R. The effect of small-scale processes in the structure of discontinuities on the solution of the Riemann problem. (English) Zbl 1524.35630 Wave Motion 114, Article ID 102996, 11 p. (2022). MSC: 35Q74 74B20 PDFBibTeX XMLCite \textit{A. P. Chugainova} and \textit{R. R. Polekhina}, Wave Motion 114, Article ID 102996, 11 p. (2022; Zbl 1524.35630) Full Text: DOI
Kardhashi, Eva; Laforest, Marc; LeFloch, Philippe G. The mathematical theory of splitting-merging patterns in phase transition dynamics. (English) Zbl 1492.35162 Commun. Partial Differ. Equations 47, No. 7, 1339-1393 (2022). MSC: 35L65 35L67 76N10 76L05 PDFBibTeX XMLCite \textit{E. Kardhashi} et al., Commun. Partial Differ. Equations 47, No. 7, 1339--1393 (2022; Zbl 1492.35162) Full Text: DOI arXiv
Thanh, Mai Duc; Vinh, Duong Xuan The Riemann problem for van der Waals fluids with nonclassical phase transitions. (English) Zbl 1479.35697 Hokkaido Math. J. 50, No. 2, 263-295 (2021). MSC: 35Q35 35L40 35L65 35A01 35A02 35A09 76L05 76N10 76T10 76J20 PDFBibTeX XMLCite \textit{M. D. Thanh} and \textit{D. X. Vinh}, Hokkaido Math. J. 50, No. 2, 263--295 (2021; Zbl 1479.35697) Full Text: DOI
Berthon, Christophe; Bessemoulin-Chatard, Marianne; Crestetto, Anaïs; Foucher, Françoise A Riemann solution approximation based on the zero diffusion-dispersion limit of Dafermos reformulation type problem. (English) Zbl 1428.65058 Calcolo 56, No. 3, Paper No. 28, 32 p. (2019). MSC: 65N06 35L65 35L67 65L12 65M06 PDFBibTeX XMLCite \textit{C. Berthon} et al., Calcolo 56, No. 3, Paper No. 28, 32 p. (2019; Zbl 1428.65058) Full Text: DOI
Dutta, Rajib; Koley, Ujjwal; Ray, Deep Convergence of fully discrete schemes for diffusive dispersive conservation laws with discontinuous coefficient. (English) Zbl 1373.65054 ESAIM, Math. Model. Numer. Anal. 50, No. 5, 1289-1331 (2016). Reviewer: Vasilis Dimitriou (Chania) MSC: 65M06 35L65 65M12 35L67 35R05 PDFBibTeX XMLCite \textit{R. Dutta} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 5, 1289--1331 (2016; Zbl 1373.65054) Full Text: DOI arXiv
Ernest, Jan; LeFloch, Philippe G.; Mishra, Siddhartha Schemes with well-controlled dissipation. (English) Zbl 1318.65049 SIAM J. Numer. Anal. 53, No. 1, 674-699 (2015). MSC: 65M06 35L65 35L75 35L67 74B20 74S20 65M12 76W05 76M20 PDFBibTeX XMLCite \textit{J. Ernest} et al., SIAM J. Numer. Anal. 53, No. 1, 674--699 (2015; Zbl 1318.65049) Full Text: DOI
Hantke, Maren; Dreyer, Wolfgang; Warnecke, Gerald Exact solutions to the Riemann problem for compressible isothermal Euler equations for two-phase flows with and without phase transition. (English) Zbl 1277.80009 Q. Appl. Math. 71, No. 3, 509-540 (2013). Reviewer: Alain Brillard (Riedisheim) MSC: 80A22 76N10 35L45 35L65 PDFBibTeX XMLCite \textit{M. Hantke} et al., Q. Appl. Math. 71, No. 3, 509--540 (2013; Zbl 1277.80009) Full Text: DOI
Thanh, Mai Duc Attractor and traveling waves of a fluid with nonlinear diffusion and dispersion. (English) Zbl 1194.35076 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 6, 3136-3149 (2010). MSC: 35B41 35L65 74N20 76N10 76L05 35C07 PDFBibTeX XMLCite \textit{M. D. Thanh}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 6, 3136--3149 (2010; Zbl 1194.35076) Full Text: DOI
Kissling, Frederike; LeFloch, Philippe G.; Rohde, Christian A kinetic decomposition for singular limits of non-local conservation laws. (English) Zbl 1180.35349 J. Differ. Equations 247, No. 12, 3338-3356 (2009). MSC: 35L65 35L67 PDFBibTeX XMLCite \textit{F. Kissling} et al., J. Differ. Equations 247, No. 12, 3338--3356 (2009; Zbl 1180.35349) Full Text: DOI
Boutin, Benjamin; Chalons, Christophe; Lagoutière, Frédéric; LeFloch, Philippe G. Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I. (English) Zbl 1157.65435 Interfaces Free Bound. 10, No. 3, 399-421 (2008). MSC: 65M06 65M12 35L65 35L67 PDFBibTeX XMLCite \textit{B. Boutin} et al., Interfaces Free Bound. 10, No. 3, 399--421 (2008; Zbl 1157.65435) Full Text: DOI arXiv Link
Wang, Lele; Lin, Jing A new class of convection equation with vanishing terms containing time derivative. (Chinese. English summary) Zbl 1164.35069 Acta Math. Appl. Sin. 30, No. 6, 1018-1029 (2007). MSC: 35Q35 PDFBibTeX XMLCite \textit{L. Wang} and \textit{J. Lin}, Acta Math. Appl. Sin. 30, No. 6, 1018--1029 (2007; Zbl 1164.35069)
Baiti, Paolo; LeFloch, Philippe G.; Piccoli, Benedetto Existence theory for nonclassical entropy solutions of scalar conservation laws. (English) Zbl 1082.35103 Z. Angew. Math. Phys. 55, No. 6, 927-945 (2004). Reviewer: Daniel Ševčovič (Bratislava) MSC: 35L65 76L05 35L45 PDFBibTeX XMLCite \textit{P. Baiti} et al., Z. Angew. Math. Phys. 55, No. 6, 927--945 (2004; Zbl 1082.35103) Full Text: DOI
Schecter, Stephen; Plohr, Bradley J.; Marchesin, Dan Computation of Riemann solutions using the Dafermos regularization and continuation. (English) Zbl 1064.35115 Discrete Contin. Dyn. Syst. 10, No. 4, 965-986 (2004). Reviewer: Andreas Meister (Kassel) MSC: 35L65 35A35 35L67 PDFBibTeX XMLCite \textit{S. Schecter} et al., Discrete Contin. Dyn. Syst. 10, No. 4, 965--986 (2004; Zbl 1064.35115) Full Text: DOI
LeFloch, P. G.; Mercier, J. M.; Rohde, C. Fully discrete, entropy conservative schemes of arbitrary order. (English) Zbl 1033.65073 SIAM J. Numer. Anal. 40, No. 5, 1968-1992 (2002). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M06 35L65 65M15 PDFBibTeX XMLCite \textit{P. G. LeFloch} et al., SIAM J. Numer. Anal. 40, No. 5, 1968--1992 (2002; Zbl 1033.65073) Full Text: DOI
Baiti, Paolo; LeFloch, Philippe G.; Piccoli, Benedetto BV stability via generalized characteristics for nonclassical solutions of conservation laws. (English) Zbl 0968.35074 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 289-294 (2000). MSC: 35L65 76L05 35D05 35D10 PDFBibTeX XMLCite \textit{P. Baiti} et al., in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 1. Singapore: World Scientific. 289--294 (2000; Zbl 0968.35074)
LeFloch, Philippe G.; Rohde, Christian High-order schemes, entropy inequalities, and nonclassical shocks. (English) Zbl 0959.35117 SIAM J. Numer. Anal. 37, No. 6, 2023-2060 (2000). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 65M12 76L05 PDFBibTeX XMLCite \textit{P. G. LeFloch} and \textit{C. Rohde}, SIAM J. Numer. Anal. 37, No. 6, 2023--2060 (2000; Zbl 0959.35117) Full Text: DOI
Baiti, Paolo; LeFloch, Philippe G.; Piccoli, Benedetto Nonclassical shocks and the Cauchy problem: General conservation laws. (English) Zbl 0942.35112 Chen, Gui-Qiang (ed.) et al., Nonlinear partial differential equations. Proceedings of the international conference, Evanston, IL, USA, March 21-24, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 238, 1-25 (1999). Reviewer: Vladimir Shelukhin (Novosibirsk) MSC: 35L65 76L05 35L67 PDFBibTeX XMLCite \textit{P. Baiti} et al., Contemp. Math. 238, 1--25 (1999; Zbl 0942.35112)
Amadori, D.; Baiti, P.; LeFloch, P. G.; Piccoli, B. Nonclassical shocks and the Cauchy problem for nonconvex conservation laws. (English) Zbl 0921.35107 J. Differ. Equations 151, No. 2, 345-372 (1999). Reviewer: Serguei B.Medvedev (Novosibirsk) MSC: 35L67 35L65 76L05 PDFBibTeX XMLCite \textit{D. Amadori} et al., J. Differ. Equations 151, No. 2, 345--372 (1999; Zbl 0921.35107) Full Text: DOI
Colombeau, J. F.; Le Roux, A. Y. Multiplications of distributions in elasticity and hydrodynamics. (English) Zbl 0646.76007 J. Math. Phys. 29, No. 2, 315-319 (1988). MSC: 76A02 74Axx 76L05 74B99 PDFBibTeX XMLCite \textit{J. F. Colombeau} and \textit{A. Y. Le Roux}, J. Math. Phys. 29, No. 2, 315--319 (1988; Zbl 0646.76007) Full Text: DOI