Dong, Zhao; Zhang, Rangrang; Zhang, Tusheng Ergodicity for stochastic conservation laws with multiplicative noise. (English) Zbl 1516.35575 Commun. Math. Phys. 400, No. 3, 1739-1789 (2023). MSC: 35R60 35L04 35L65 PDFBibTeX XMLCite \textit{Z. Dong} et al., Commun. Math. Phys. 400, No. 3, 1739--1789 (2023; Zbl 1516.35575) Full Text: DOI arXiv
Holle, Yannick Entropy dissipation at the junction for macroscopic traffic flow models. (English) Zbl 1513.76033 SIAM J. Math. Anal. 54, No. 1, 954-985 (2022). MSC: 76A30 35L65 90B20 PDFBibTeX XMLCite \textit{Y. Holle}, SIAM J. Math. Anal. 54, No. 1, 954--985 (2022; Zbl 1513.76033) Full Text: DOI arXiv
Müller, Nora; Bock, Wolfgang Stochastic perturbation of the Lighthill-Whitham-Richards model via the method of stochastic characteristics. (English) Zbl 1485.60067 J. Math. Ind. 11, Paper No. 7, 13 p. (2021). MSC: 60H30 35A30 35R60 60H10 PDFBibTeX XMLCite \textit{N. Müller} and \textit{W. Bock}, J. Math. Ind. 11, Paper No. 7, 13 p. (2021; Zbl 1485.60067) Full Text: DOI arXiv
Deya, Aurélien; Gubinelli, Massimiliano; Hofmanová, Martina; Tindel, Samy A priori estimates for rough PDEs with application to rough conservation laws. (English) Zbl 1411.60094 J. Funct. Anal. 276, No. 12, 3577-3645 (2019). MSC: 60H15 35R60 35L65 PDFBibTeX XMLCite \textit{A. Deya} et al., J. Funct. Anal. 276, No. 12, 3577--3645 (2019; Zbl 1411.60094) Full Text: DOI arXiv Link
Kuznetsov, I. V.; Sazhenkov, S. A. Anisotropic vanishing diffusion method applied to genuinely nonlinear forward-backward ultra-parabolic equations. (English) Zbl 1401.35211 Sib. Èlektron. Mat. Izv. 15, 1158-1173 (2018). MSC: 35K92 PDFBibTeX XMLCite \textit{I. V. Kuznetsov} and \textit{S. A. Sazhenkov}, Sib. Èlektron. Mat. Izv. 15, 1158--1173 (2018; Zbl 1401.35211) Full Text: DOI
Gess, Benjamin; Hofmanová, Martina Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE. (English) Zbl 1428.60090 Ann. Probab. 46, No. 5, 2495-2544 (2018). MSC: 60H15 35R60 PDFBibTeX XMLCite \textit{B. Gess} and \textit{M. Hofmanová}, Ann. Probab. 46, No. 5, 2495--2544 (2018; Zbl 1428.60090) Full Text: DOI arXiv Euclid
Kobayasi, Kazuo; Noboriguchi, Dai Well-posedness for stochastic scalar conservation laws with the initial-boundary condition. (English) Zbl 1390.35438 J. Math. Anal. Appl. 461, No. 2, 1416-1458 (2018). MSC: 35R60 35B30 35L65 35L50 PDFBibTeX XMLCite \textit{K. Kobayasi} and \textit{D. Noboriguchi}, J. Math. Anal. Appl. 461, No. 2, 1416--1458 (2018; Zbl 1390.35438) Full Text: DOI
Wei, Jinlong; Duan, Jinqiao; Lv, Guangying Kinetic solutions for nonlocal scalar conservation laws. (English) Zbl 1390.35179 SIAM J. Math. Anal. 50, No. 2, 1521-1543 (2018). MSC: 35L03 35L65 35R11 PDFBibTeX XMLCite \textit{J. Wei} et al., SIAM J. Math. Anal. 50, No. 2, 1521--1543 (2018; Zbl 1390.35179) Full Text: DOI arXiv
Mišur, Marin; Mitrović, Darko; Novak, Andrej On the Dirichlet-Neumann boundary problem for scalar conservation laws. (English) Zbl 1488.35356 Math. Model. Anal. 21, No. 5, 685-698 (2016). MSC: 35L65 65N99 PDFBibTeX XMLCite \textit{M. Mišur} et al., Math. Model. Anal. 21, No. 5, 685--698 (2016; Zbl 1488.35356) Full Text: DOI
Kobayasi, Kazuo; Noboriguchi, Dai A stochastic conservation law with nonhomogeneous Dirichlet boundary conditions. (English) Zbl 1364.35451 Acta Math. Vietnam. 41, No. 4, 607-632 (2016). MSC: 35R60 35L04 60H15 PDFBibTeX XMLCite \textit{K. Kobayasi} and \textit{D. Noboriguchi}, Acta Math. Vietnam. 41, No. 4, 607--632 (2016; Zbl 1364.35451) Full Text: DOI arXiv
Hofmanová, Martina Scalar conservation laws with rough flux and stochastic forcing. (English) Zbl 1351.60080 Stoch. Partial Differ. Equ., Anal. Comput. 4, No. 3, 635-690 (2016). MSC: 60H15 60H05 60J65 35R60 35L65 PDFBibTeX XMLCite \textit{M. Hofmanová}, Stoch. Partial Differ. Equ., Anal. Comput. 4, No. 3, 635--690 (2016; Zbl 1351.60080) Full Text: DOI arXiv
Debussche, Arnaud; Hofmanová, Martina; Vovelle, Julien Degenerate parabolic stochastic partial differential equations: quasilinear case. (English) Zbl 1346.60094 Ann. Probab. 44, No. 3, 1916-1955 (2016). Reviewer: Martin Ondreját (Praha) MSC: 60H15 35R60 35K65 PDFBibTeX XMLCite \textit{A. Debussche} et al., Ann. Probab. 44, No. 3, 1916--1955 (2016; Zbl 1346.60094) Full Text: DOI arXiv Euclid
Noboriguchi, Dai The equivalence theorem of kinetic solutions and entropy solutions for stochastic scalar conservation laws. (English) Zbl 1383.35252 Tokyo J. Math. 38, No. 2, 575-587 (2015). MSC: 35R60 35L04 35L65 60H15 PDFBibTeX XMLCite \textit{D. Noboriguchi}, Tokyo J. Math. 38, No. 2, 575--587 (2015; Zbl 1383.35252) Full Text: DOI Euclid
Hofmanová, Martina A Bhatnagar-Gross-Krook approximation to stochastic scalar conservation laws. (English. French summary) Zbl 1329.60214 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 4, 1500-1528 (2015). MSC: 60H15 35R60 35L65 PDFBibTeX XMLCite \textit{M. Hofmanová}, Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 4, 1500--1528 (2015; Zbl 1329.60214) Full Text: DOI arXiv Euclid
Hao, Xingwen; Li, Yachun; Wang, Qin A kinetic approach to error estimate for nonautonomous anisotropic degenerate parabolic-hyperbolic equations. (English) Zbl 1332.35054 Kinet. Relat. Models 7, No. 3, 477-492 (2014). MSC: 35B45 35B30 35B51 35K65 35B35 35B25 PDFBibTeX XMLCite \textit{X. Hao} et al., Kinet. Relat. Models 7, No. 3, 477--492 (2014; Zbl 1332.35054) Full Text: DOI
Hofmanová, Martina Degenerate parabolic stochastic partial differential equations. (English) Zbl 1291.60130 Stochastic Processes Appl. 123, No. 12, 4294-4336 (2013). MSC: 60H15 PDFBibTeX XMLCite \textit{M. Hofmanová}, Stochastic Processes Appl. 123, No. 12, 4294--4336 (2013; Zbl 1291.60130) Full Text: DOI
Wang, Zhigang; Li, Yachun Applications of the kinetic formulation for scalar conservation laws with a zero-flux type boundary condition. (English) Zbl 1257.35120 Chin. Ann. Math., Ser. B 33, No. 3, 351-366 (2012). MSC: 35L50 35A02 35B40 76Y05 35B35 35L65 85A05 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{Y. Li}, Chin. Ann. Math., Ser. B 33, No. 3, 351--366 (2012; Zbl 1257.35120) Full Text: DOI
Vasseur, Alexis F. A rigorous derivation of the coupling of a kinetic equation and Burgers’ equation. (English) Zbl 1256.35047 Arch. Ration. Mech. Anal. 206, No. 1, 1-30 (2012). MSC: 35Q20 35Q31 76L05 35B44 PDFBibTeX XMLCite \textit{A. F. Vasseur}, Arch. Ration. Mech. Anal. 206, No. 1, 1--30 (2012; Zbl 1256.35047) Full Text: DOI
Kobayasi, Kazuo; Ohwa, Hiroki Uniqueness and existence for anisotropic degenerate parabolic equations with boundary conditions on a bounded rectangle. (English) Zbl 1237.35099 J. Differ. Equations 252, No. 1, 137-167 (2012). Reviewer: Cristian Chifu (Cluj-Napoca) MSC: 35K65 35B51 35K20 PDFBibTeX XMLCite \textit{K. Kobayasi} and \textit{H. Ohwa}, J. Differ. Equations 252, No. 1, 137--167 (2012; Zbl 1237.35099) Full Text: DOI
Panov, E. Yu. On the Dirichlet problem for first order quasilinear equations on a manifold. (English) Zbl 1217.58017 Trans. Am. Math. Soc. 363, No. 5, 2393-2446 (2011). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 58J32 35L60 35L65 58J45 PDFBibTeX XMLCite \textit{E. Yu. Panov}, Trans. Am. Math. Soc. 363, No. 5, 2393--2446 (2011; Zbl 1217.58017) Full Text: DOI
Kwon, Young-Sam Well-posedness for entropy solutions to multidimensional scalar conservation laws with a strong boundary condition. (English) Zbl 1132.35417 J. Math. Anal. Appl. 340, No. 1, 543-549 (2008). MSC: 35L65 35L50 PDFBibTeX XMLCite \textit{Y.-S. Kwon}, J. Math. Anal. Appl. 340, No. 1, 543--549 (2008; Zbl 1132.35417) Full Text: DOI
Kobayasi, Kazuo A kinetic approach to comparison properties for degenerate parabolic-hyperbolic equations with boundary conditions. (English) Zbl 1105.35004 J. Differ. Equations 230, No. 2, 682-701 (2006). MSC: 35B05 35M10 35K65 PDFBibTeX XMLCite \textit{K. Kobayasi}, J. Differ. Equations 230, No. 2, 682--701 (2006; Zbl 1105.35004) Full Text: DOI
Ohlberger, Mario; Vovelle, Julien Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method. (English) Zbl 1082.65112 Math. Comput. 75, No. 253, 113-150 (2006). Reviewer: Qin Mengzhao (Beijing) MSC: 65N15 65N30 35A35 35L65 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{J. Vovelle}, Math. Comput. 75, No. 253, 113--150 (2006; Zbl 1082.65112) Full Text: DOI
Droniou, J.; Imbert, C.; Vovelle, J. An error estimate for the parabolic approximation of multidimensional scalar conservation laws with boundary conditions. (English) Zbl 1053.35015 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 5, 689-714 (2004). Reviewer: Andreas Meister (Kassel) MSC: 35A35 35L65 35F25 35F30 65M15 PDFBibTeX XMLCite \textit{J. Droniou} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 5, 689--714 (2004; Zbl 1053.35015) Full Text: DOI Numdam EuDML