Abgrall, Rémi (ed.); Garavello, Mauro (ed.); Lukáčová-Medvid’ová, Mária (ed.); Trivisa, Konstantina (ed.) Hyperbolic balance laws: interplay between scales and randomness. Abstracts from the workshop held February 25 – March 1, 2024. (English) Zbl 1546.00039 Oberwolfach Rep. 21, No. 1, 567-656 (2024). MSC: 00B05 00B25 35-06 35L65 35L40 35L60 35R60 65M08 60H15 76F10 82B40 × Cite Format Result Cite Review PDF Full Text: DOI
Bianchini, Stefano; Spinolo, Laura V. Characteristic boundary layers for mixed hyperbolic-parabolic systems in one space dimension and applications to the Navier-Stokes and MHD equations. (English) Zbl 1452.35143 Commun. Pure Appl. Math. 73, No. 10, 2180-2247 (2020). MSC: 35Q35 76W05 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Joseph, K. T.; Sandeep, K. Theoretical developments in the study of partial differential equations. (English) Zbl 1476.35003 Indian J. Pure Appl. Math. 50, No. 3, 681-704 (2019). Reviewer: Swarnendu Sil (Zürich) MSC: 35-02 × Cite Format Result Cite Review PDF Full Text: DOI
Court, Sébastien; Kunisch, Karl; Pfeiffer, Laurent Optimal control problem for viscous systems of conservation laws, with geometric parameter, and application to the shallow-water equations. (English) Zbl 1428.49029 Interfaces Free Bound. 21, No. 3, 273-311 (2019). MSC: 49K20 35L65 35D35 93C30 90C46 49Q10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bianchini, Stefano; Spinolo, Laura V. An overview on the approximation of boundary Riemann problems through physical viscosity. (English) Zbl 1347.35158 Bull. Braz. Math. Soc. (N.S.) 47, No. 1, 131-142 (2016). MSC: 35L65 35L50 35B25 × Cite Format Result Cite Review PDF Full Text: DOI
Tong, Lining; Wang, Jing Stability of multiple boundary layers for 2D quasilinear parabolic equations. (English) Zbl 1330.35021 J. Math. Anal. Appl. 435, No. 1, 349-368 (2016). MSC: 35B25 35K59 35L50 35K51 × Cite Format Result Cite Review PDF Full Text: DOI
LeFloch, Philippe G.; Mishra, Siddhartha Numerical methods with controlled dissipation for small-scale dependent shocks. (English) Zbl 1398.65211 Acta Numerica 23, 743-816 (2014). MSC: 65M06 35L60 35L65 35L67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Christoforou, Cleopatra; Spinolo, Laura V. Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems. (English) Zbl 1335.35153 Q. Appl. Math. 71, No. 3, 433-453 (2013). Reviewer: Jörg Härterich (Bochum) MSC: 35L65 35L67 35L50 34D15 35K51 35B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Jing Boundary layers for parabolic perturbations of quasi-linear hyperbolic problems. (English) Zbl 1180.35057 Math. Methods Appl. Sci. 32, No. 18, 2416-2438 (2009). MSC: 35B25 35L50 35K20 35K59 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Bianchini, Stefano; Spinolo, Laura V. The boundary Riemann solver coming from the real vanishing viscosity approximation. (English) Zbl 1171.35072 Arch. Ration. Mech. Anal. 191, No. 1, 1-96 (2009). Reviewer: V. D. Sharma (Mumbai) MSC: 35L65 35L67 35K65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ambroso, A.; Chalons, C.; Coquel, F.; Godlewski, E.; Lagoutière, F.; Raviart, P.-A.; Seguin, N. Coupling of general Lagrangian systems. (English) Zbl 1149.35380 Math. Comput. 77, No. 262, 909-941 (2008). Reviewer: Argiris I. Delis (Chania) MSC: 35L50 35L65 76M12 76N15 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Sueur, Franck Viscous approach of discontinuous solutions of semilinear symmetric hyperbolic systems. (Approche visqueuse de solutions discontinues de systèmes hyperboliques semilinéaires.) (French) Zbl 1094.35024 Ann. Inst. Fourier 56, No. 1, 183-245 (2006). Reviewer: Denise Huet (Nancy) MSC: 35B25 35K50 35R05 35L60 35C20 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Godlewski, Edwige; Le Thanh, Kim-Claire; Raviart, Pierre-Arnaud The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. II: The case of systems. (English) Zbl 1095.65084 ESAIM, Math. Model. Numer. Anal. 39, No. 4, 649-692 (2005). Reviewer: Dinh Nho Hao (Hanoi) MSC: 65M06 35L50 35L65 65M12 76N15 76X05 76M12 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Rousset, F. Characteristic boundary layers in real vanishing viscosity limits. (English) Zbl 1060.35015 J. Differ. Equations 210, No. 1, 25-64 (2005). MSC: 35B30 35L65 76N15 76W05 × Cite Format Result Cite Review PDF Full Text: DOI
Rousset, F. Stability of small amplitude boundary layers for mixed hyperbolic-parabolic systems. (English) Zbl 1022.35022 Trans. Am. Math. Soc. 355, No. 7, 2991-3008 (2003). Reviewer: Nickolaj A.Lar’kin (Maringa) MSC: 35K65 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Chainais-Hillairet, Claire; Grenier, Emmanuel Numerical boundary layers for hyperbolic systems in 1-D. (English) Zbl 0980.65093 M2AN, Math. Model. Numer. Anal. 35, No. 1, 91-106 (2001). Reviewer: Mária Lukáčová (Brno) MSC: 65M12 35L65 65M06 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Serre, Denis Sur la stabilité des couches limites de viscosité. (The stability of viscous boundary layers). (French) Zbl 0963.35009 Ann. Inst. Fourier 51, No. 1, 109-129 (2001). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35B25 35L65 35L50 35K50 35B35 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Serre, Denis Solutions globales \((-\infty<t<+\infty)\) des systèmes paraboliques de lois de conservation. (Global solutions \((-\infty<t<+\infty)\) of parabolic systems of conservation laws.). (French) Zbl 0917.35076 Ann. Inst. Fourier 48, No. 4, 1069-1091 (1998). Reviewer: A.Doktor (Praha) MSC: 35L65 35K60 35L50 35L67 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Horsin, T. On the controllability of the Burger equation. (English) Zbl 0897.93034 ESAIM, Control Optim. Calc. Var. 3, 83-95 (1998). Reviewer: V.Komkov (Roswell) MSC: 93C20 93B05 35Q30 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Grenier, Emmanuel; Guès, Olivier Boundary layers for viscous perturbations of noncharacteristic quasilinear hyperbolic problems. (English) Zbl 0896.35078 J. Differ. Equations 143, No. 1, 110-146 (1998). Reviewer: Wang Jinghua (Beijing) MSC: 35L50 35K50 35L60 35B25 × Cite Format Result Cite Review PDF Full Text: DOI
Gisclon, Marguerite; Serre, Denis Boundary value problem for a strictly hyperbolic system related with the Godunov scheme. (Conditions aux limites pour un système strictement hyperbolique fournies, par le schéma de Godunov.) (French) Zbl 0873.65087 RAIRO, Modélisation Math. Anal. Numér. 31, No. 3, 359-380 (1997). Reviewer: S.Benzoni (Lyon) MSC: 65M06 76M20 76N15 65M12 35L65 × Cite Format Result Cite Review PDF Full Text: DOI EuDML