Bianchini, Stefano; Daneri, Sara On the sticky particle solutions to the multi-dimensional pressureless Euler equations. (English) Zbl 07700855 J. Differ. Equations 368, 173-202 (2023). MSC: 35Q31 76N10 35A01 35A02 35R06 PDFBibTeX XMLCite \textit{S. Bianchini} and \textit{S. Daneri}, J. Differ. Equations 368, 173--202 (2023; Zbl 07700855) Full Text: DOI arXiv
Ye, Boyang; Jin, Shi; Xing, Yulong; Zhong, Xinghui Hamiltonian-preserving discontinuous Galerkin methods for the Liouville equation with discontinuous potential. (English) Zbl 1501.65078 SIAM J. Sci. Comput. 44, No. 5, A3317-A3340 (2022). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65M06 65L06 65N30 35L45 70H99 35B09 35B53 PDFBibTeX XMLCite \textit{B. Ye} et al., SIAM J. Sci. Comput. 44, No. 5, A3317--A3340 (2022; Zbl 1501.65078) 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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{C. Bourdarias} et al., SIAM J. Math. Anal. 54, No. 1, 791--817 (2022; Zbl 1494.35115) Full Text: DOI
Abgrall, Rémi (ed.); Garavello, Mauro (ed.); Lukáčová-Medvid’ová, Mária (ed.); Trivisa, Konstantina (ed.) Hyperbolic balance laws: modeling, analysis, and numerics. Abstracts from the workshop held February 28 – March 6, 2021 (hybrid meeting). (English) Zbl 1487.00026 Oberwolfach Rep. 18, No. 1, 589-661 (2021). MSC: 00B05 00B25 35-06 60-06 35L65 35L40 35L60 35R60 65M08 60H15 PDFBibTeX XMLCite \textit{R. Abgrall} (ed.) et al., Oberwolfach Rep. 18, No. 1, 589--661 (2021; Zbl 1487.00026) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Das} and \textit{K. T. Joseph}, J. Appl. Anal. 27, No. 2, 219--238 (2021; Zbl 1479.35233) Full Text: DOI
Camilli, Fabio; Cavagnari, Giulia; Maio, Raul De; Piccoli, Benedetto Superposition principle and schemes for measure differential equations. (English) Zbl 1475.35379 Kinet. Relat. Models 14, No. 1, 89-113 (2021). MSC: 35R06 28A50 35F20 35F25 PDFBibTeX XMLCite \textit{F. Camilli} et al., Kinet. Relat. Models 14, No. 1, 89--113 (2021; Zbl 1475.35379) Full Text: DOI arXiv
Karimghasemi, Sholeh; Müller, Siegfried; Westdickenberg, Michael Flow solutions of transport equations. (English) Zbl 1462.35323 Commun. Partial Differ. Equations 46, No. 1, 98-134 (2021). MSC: 35Q49 35F10 35A01 35A02 35D30 28B20 PDFBibTeX XMLCite \textit{S. Karimghasemi} et al., Commun. Partial Differ. Equations 46, No. 1, 98--134 (2021; Zbl 1462.35323) Full Text: DOI arXiv
Wang, Jinhuan Delta shocks and vacuum states in the Euler equations for nonisentropic magnetogasdynamics with the flux perturbation. (English) Zbl 1441.35166 Z. Angew. Math. Phys. 71, No. 2, Paper No. 60, 25 p. (2020). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35L67 35L45 35Q31 PDFBibTeX XMLCite \textit{J. Wang}, Z. Angew. Math. Phys. 71, No. 2, Paper No. 60, 25 p. (2020; Zbl 1441.35166) Full Text: DOI
Delarue, François; Lagoutière, Frédéric; Vauchelet, Nicolas Convergence analysis of upwind type schemes for the aggregation equation with pointy potential. (English) Zbl 1436.65120 Ann. Henri Lebesgue 3, 217-260 (2020). MSC: 65M08 65M12 35D30 35L60 92D25 35Q92 35Q49 49K20 35R06 PDFBibTeX XMLCite \textit{F. Delarue} et al., Ann. Henri Lebesgue 3, 217--260 (2020; Zbl 1436.65120) Full Text: DOI arXiv
Fabrèges, Benoît; Hivert, Hélène; Le Balc’h, Kevin; Martel, Sofiane; Delarue, François; Lagoutière, Frédéric; Vauchelet, Nicolas Numerical schemes for the aggregation equation with pointy potentials. (English. French summary) Zbl 1447.35218 ESAIM, Proc. Surv. 65, 384-400 (2019). MSC: 35L65 35L60 65M08 35B44 35A35 PDFBibTeX XMLCite \textit{B. Fabrèges} et al., ESAIM, Proc. Surv. 65, 384--400 (2019; Zbl 1447.35218) Full Text: DOI
Piccoli, Benedetto Measure differential equations. (English) Zbl 1417.49059 Arch. Ration. Mech. Anal. 233, No. 3, 1289-1317 (2019). MSC: 49Q15 34A12 PDFBibTeX XMLCite \textit{B. Piccoli}, Arch. Ration. Mech. Anal. 233, No. 3, 1289--1317 (2019; Zbl 1417.49059) Full Text: DOI arXiv
Cavalletti, Fabio; Sedjro, Marc; Westdickenberg, Michael A variational time discretization for compressible Euler equations. (English) Zbl 1501.35287 Trans. Am. Math. Soc. 371, No. 7, 5083-5155 (2019). MSC: 35Q31 76N15 35L65 49J40 82C40 PDFBibTeX XMLCite \textit{F. Cavalletti} et al., Trans. Am. Math. Soc. 371, No. 7, 5083--5155 (2019; Zbl 1501.35287) Full Text: DOI arXiv
Figalli, Alessio; Kang, Moon-Jin A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment. (English) Zbl 1405.35206 Anal. PDE 12, No. 3, 843-866 (2019). MSC: 35Q70 35B25 35Q31 92C15 70B05 35Q92 PDFBibTeX XMLCite \textit{A. Figalli} and \textit{M.-J. Kang}, Anal. PDE 12, No. 3, 843--866 (2019; Zbl 1405.35206) Full Text: DOI arXiv
Solem, Susanne Convergence rates of the front tracking method for conservation laws in the Wasserstein distances. (English) Zbl 1516.65069 SIAM J. Numer. Anal. 56, No. 6, 3648-3666 (2018). MSC: 65M06 65M12 35L65 41A25 35A01 35A02 PDFBibTeX XMLCite \textit{S. Solem}, SIAM J. Numer. Anal. 56, No. 6, 3648--3666 (2018; Zbl 1516.65069) Full Text: DOI arXiv
Piccoli, Benedetto; Tournus, Magali A general BV existence result for conservation laws with spatial heterogeneities. (English) Zbl 1402.35171 SIAM J. Math. Anal. 50, No. 3, 2901-2927 (2018). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35A01 35B44 35D30 35L03 PDFBibTeX XMLCite \textit{B. Piccoli} and \textit{M. Tournus}, SIAM J. Math. Anal. 50, No. 3, 2901--2927 (2018; Zbl 1402.35171) Full Text: DOI
Zied, Ammari; Quentin, Liard On uniqueness of measure-valued solutions to Liouville’s equation of Hamiltonian PDEs. (English) Zbl 1374.35404 Discrete Contin. Dyn. Syst. 38, No. 2, 723-748 (2018). MSC: 35Q82 35A02 35Q55 35Q61 37K05 28A33 PDFBibTeX XMLCite \textit{A. Zied} and \textit{L. Quentin}, Discrete Contin. Dyn. Syst. 38, No. 2, 723--748 (2018; Zbl 1374.35404) Full Text: DOI
Delarue, François; Lagoutière, Frédéric; Vauchelet, Nicolas Convergence order of upwind type schemes for transport equations with discontinuous coefficients. (English. French summary) Zbl 1378.65163 J. Math. Pures Appl. (9) 108, No. 6, 918-951 (2017). MSC: 65M12 65M15 65M06 35L65 35R05 PDFBibTeX XMLCite \textit{F. Delarue} et al., J. Math. Pures Appl. (9) 108, No. 6, 918--951 (2017; Zbl 1378.65163) Full Text: DOI arXiv
Ambrosio, Luigi Well posedness of ODE’s and continuity equations with nonsmooth vector fields, and applications. (English) Zbl 1380.37039 Rev. Mat. Complut. 30, No. 3, 427-450 (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 37C10 35R05 35F05 35A15 34A12 34A36 34G20 34A05 PDFBibTeX XMLCite \textit{L. Ambrosio}, Rev. Mat. Complut. 30, No. 3, 427--450 (2017; Zbl 1380.37039) Full Text: DOI
Lagoutière, Frédéric; Vauchelet, Nicolas Analysis and simulation of nonlinear and nonlocal transport equations. (English) Zbl 1378.35081 Gosse, Laurent (ed.) et al., Innovative algorithms and analysis. Based on the presentations at the workshop, Rome, Italy, May 17–20, 2016. Cham: Springer (ISBN 978-3-319-49261-2/hbk; 978-3-319-49262-9/ebook). Springer INdAM Series 16, 265-288 (2017). Reviewer: Philippe Laurençot (Toulouse) MSC: 35F25 35R05 45K05 65M08 PDFBibTeX XMLCite \textit{F. Lagoutière} and \textit{N. Vauchelet}, Springer INdAM Ser. 16, 265--288 (2017; Zbl 1378.35081) Full Text: DOI HAL
Gosse, Laurent; Vauchelet, Nicolas Hydrodynamic singular regimes in \(1+1\) kinetic models and spectral numerical methods. (English) Zbl 1416.65378 J. Math. Anal. Appl. 445, No. 1, 564-603 (2017). MSC: 65M70 76P05 82C31 82C80 92C17 PDFBibTeX XMLCite \textit{L. Gosse} and \textit{N. Vauchelet}, J. Math. Anal. Appl. 445, No. 1, 564--603 (2017; Zbl 1416.65378) Full Text: DOI
James, François; Vauchelet, Nicolas One-dimensional aggregation equation after blow up: existence, uniqueness and numerical simulation. (English) Zbl 1350.35037 Netw. Heterog. Media 11, No. 1, 163-180 (2016). MSC: 35B44 35B40 35D30 35L60 35Q92 49K20 65M08 PDFBibTeX XMLCite \textit{F. James} and \textit{N. Vauchelet}, Netw. Heterog. Media 11, No. 1, 163--180 (2016; Zbl 1350.35037) Full Text: DOI arXiv
Vauchelet, Nicolas; James, François Equivalence between duality and gradient flow solutions for one-dimensional aggregation equations. (English) Zbl 1353.35109 Discrete Contin. Dyn. Syst. 36, No. 3, 1355-1382 (2016). MSC: 35D30 35B40 35L60 35Q92 49K20 PDFBibTeX XMLCite \textit{N. Vauchelet} and \textit{F. James}, Discrete Contin. Dyn. Syst. 36, No. 3, 1355--1382 (2016; Zbl 1353.35109) Full Text: DOI arXiv
Gosse, Laurent; Vauchelet, Nicolas Numerical high-field limits in two-stream kinetic models and 1D aggregation equations. (English) Zbl 1457.65051 SIAM J. Sci. Comput. 38, No. 1, A412-A434 (2016). MSC: 65M06 92C17 35L60 35Q83 35Q84 PDFBibTeX XMLCite \textit{L. Gosse} and \textit{N. Vauchelet}, SIAM J. Sci. Comput. 38, No. 1, A412--A434 (2016; Zbl 1457.65051) Full Text: DOI Link
Carrillo, J. A.; James, F.; Lagoutière, F.; Vauchelet, N. The Filippov characteristic flow for the aggregation equation with mildly singular potentials. (English) Zbl 1323.35005 J. Differ. Equations 260, No. 1, 304-338 (2016). MSC: 35B40 35D30 35L60 35Q92 49K20 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Differ. Equations 260, No. 1, 304--338 (2016; Zbl 1323.35005) Full Text: DOI arXiv
Goudon, Thierry; Nkonga, Boniface; Rascle, Michel; Ribot, Magali Self-organized populations interacting under pursuit-evasion dynamics. (English) Zbl 1365.92144 Physica D 304-305, 1-22 (2015). MSC: 92D50 35Q92 PDFBibTeX XMLCite \textit{T. Goudon} et al., Physica D 304--305, 1--22 (2015; Zbl 1365.92144) Full Text: DOI HAL
Bertozzi, Andrea L.; Rosado, Jesus; Short, Martin B.; Wang, Li Contagion shocks in one dimension. (English) Zbl 1318.35135 J. Stat. Phys. 158, No. 3, 647-664 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q92 35L65 90B20 92C15 PDFBibTeX XMLCite \textit{A. L. Bertozzi} et al., J. Stat. Phys. 158, No. 3, 647--664 (2015; Zbl 1318.35135) Full Text: DOI Link
Garetto, Claudia; Oberguggenberger, Michael Symmetrisers and generalised solutions for strictly hyperbolic systems with singular coefficients. (English) Zbl 1328.35345 Math. Nachr. 288, No. 2-3, 185-205 (2015). Reviewer: Chikh Bouzar (Oran) MSC: 35S30 46F30 PDFBibTeX XMLCite \textit{C. Garetto} and \textit{M. Oberguggenberger}, Math. Nachr. 288, No. 2--3, 185--205 (2015; Zbl 1328.35345) Full Text: DOI arXiv
Angot, Philippe; Auphan, Thomas; Guès, Olivier An optimal penalty method for a hyperbolic system modeling the edge plasma transport in a tokamak. (English) Zbl 1349.82137 J. Comput. Phys. 261, 1-22 (2014). MSC: 82D10 PDFBibTeX XMLCite \textit{P. Angot} et al., J. Comput. Phys. 261, 1--22 (2014; Zbl 1349.82137) Full Text: DOI arXiv
Achdou, Yves; Camilli, Fabio; Corrias, Lucilla On numerical approximation of the Hamilton-Jacobi-transport system arising in high frequency approximations. (English) Zbl 1282.65105 Discrete Contin. Dyn. Syst., Ser. B 19, No. 3, 629-650 (2014). MSC: 65M12 35F25 35R05 49L25 PDFBibTeX XMLCite \textit{Y. Achdou} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 3, 629--650 (2014; Zbl 1282.65105) Full Text: DOI arXiv
Sun, Meina Formation of delta standing wave for a scalar conservation law with a linear flux function involving discontinuous coefficients. (English) Zbl 1420.35161 J. Nonlinear Math. Phys. 20, No. 2, 229-244 (2013). MSC: 35L65 35L67 35B30 PDFBibTeX XMLCite \textit{M. Sun}, J. Nonlinear Math. Phys. 20, No. 2, 229--244 (2013; Zbl 1420.35161) Full Text: DOI
Jin, Shi; Qi, Peng \(l^1\)-error estimates on the immersed interface upwind scheme for linear convection equations with piecewise constant coefficients: a simple proof. (English) Zbl 1305.65202 Sci. China, Math. 56, No. 12, 2773-2782 (2013). MSC: 65M15 65M06 35L02 35L81 PDFBibTeX XMLCite \textit{S. Jin} and \textit{P. Qi}, Sci. China, Math. 56, No. 12, 2773--2782 (2013; Zbl 1305.65202) Full Text: DOI
James, F.; Vauchelet, N. Chemotaxis: from kinetic equations to aggregate dynamics. (English) Zbl 1270.35048 NoDEA, Nonlinear Differ. Equ. Appl. 20, No. 1, 101-127 (2013). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B25 35D30 35L60 35Q92 92C17 PDFBibTeX XMLCite \textit{F. James} and \textit{N. Vauchelet}, NoDEA, Nonlinear Differ. Equ. Appl. 20, No. 1, 101--127 (2013; Zbl 1270.35048) Full Text: DOI arXiv
Moutsinga, Octave Burgers’ equation and the sticky particles model. (English) Zbl 1290.35204 J. Math. Phys. 53, No. 6, 063709, 16 p. (2012). MSC: 35Q35 35F20 35F25 PDFBibTeX XMLCite \textit{O. Moutsinga}, J. Math. Phys. 53, No. 6, 063709, 16 p. (2012; Zbl 1290.35204) Full Text: DOI
Boudin, Laurent; Mathiaud, Julien A numerical scheme for the one-dimensional pressureless gases system. (English) Zbl 1312.76055 Numer. Methods Partial Differ. Equations 28, No. 6, 1729-1746 (2012). MSC: 76N15 65M06 35L65 35Q31 PDFBibTeX XMLCite \textit{L. Boudin} and \textit{J. Mathiaud}, Numer. Methods Partial Differ. Equations 28, No. 6, 1729--1746 (2012; Zbl 1312.76055) Full Text: DOI HAL
Shen, Chun Structural stability of solutions to the Riemann problem for a scalar conservation law. (English) Zbl 1234.35290 J. Math. Anal. Appl. 389, No. 2, 1105-1116 (2012). MSC: 35R05 35B35 35B40 PDFBibTeX XMLCite \textit{C. Shen}, J. Math. Anal. Appl. 389, No. 2, 1105--1116 (2012; Zbl 1234.35290) Full Text: DOI
Carrillo, J. A.; Di Francesco, M.; Figalli, A.; Laurent, T.; Slepčev, D. Confinement in nonlocal interaction equations. (English) Zbl 1233.35032 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 2, 550-558 (2012). MSC: 35B40 45K05 49K20 92Dxx 35F10 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 2, 550--558 (2012; Zbl 1233.35032) Full Text: DOI Link
Ambrosio, Luigi The flow associated to weakly differentiable vector fields: recent results and open problems. (English) Zbl 1248.35048 Bressan, Alberto (ed.) et al., Nonlinear conservation laws and applications. Proceedings of the summer program, IMA, Minneapolis, MN, USA, July 13–31, 2009. New York, NY: Springer (ISBN 978-1-4419-9553-7; 978-1-4419-9554-4/ebook). The IMA Volumes in Mathematics and its Applications 153, 181-193 (2011). MSC: 35F10 35L65 37C10 PDFBibTeX XMLCite \textit{L. Ambrosio}, IMA Vol. Math. Appl. 153, 181--193 (2011; Zbl 1248.35048) Full Text: DOI
Angot, Philippe; Auphan, Thomas; Guès, Olivier Penalty methods for the hyperbolic system modelling the wall-plasma interaction in a tokamak. (English) Zbl 1246.82096 Fořt, Jaroslav (ed.) et al., Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Berlin: Springer (ISBN 978-3-642-20670-2/hbk; 978-3-642-20671-9/ebook). Springer Proceedings in Mathematics 4, 31-38 (2011). MSC: 82C80 82D10 65N99 35L04 PDFBibTeX XMLCite \textit{P. Angot} et al., Springer Proc. Math. 4, 31--38 (2011; Zbl 1246.82096) Full Text: DOI arXiv
Bianchini, Stefano; Gloyer, Matteo An estimate on the flow generated by monotone operators. (English) Zbl 1242.35040 Commun. Partial Differ. Equations 36, No. 4-6, 777-796 (2011). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 35B35 35B45 35F05 35A02 PDFBibTeX XMLCite \textit{S. Bianchini} and \textit{M. Gloyer}, Commun. Partial Differ. Equations 36, No. 4--6, 777--796 (2011; Zbl 1242.35040) Full Text: DOI
Jabin, Pierre-Emmanuel Differential equations with singular fields. (English) Zbl 1217.34015 J. Math. Pures Appl. (9) 94, No. 6, 597-621 (2010). Reviewer: N. C. Apreutesei (Iaşi) MSC: 34A12 34C11 35L45 37C10 PDFBibTeX XMLCite \textit{P.-E. Jabin}, J. Math. Pures Appl. (9) 94, No. 6, 597--621 (2010; Zbl 1217.34015) Full Text: DOI arXiv
Kovtunenko, V. A.; Kunisch, K.; Ring, W. Propagation and bifurcation of cracks based on implicit surfaces and discontinuous velocities. (English) Zbl 1419.74215 Comput. Vis. Sci. 12, No. 8, 397-408 (2009). MSC: 74R10 74H60 PDFBibTeX XMLCite \textit{V. A. Kovtunenko} et al., Comput. Vis. Sci. 12, No. 8, 397--408 (2009; Zbl 1419.74215) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{B. Fornet}, Ann. Fac. Sci. Toulouse, Math. (6) 18, No. 2, 397--443 (2009; Zbl 1182.35030) Full Text: DOI Numdam EuDML
Fornet, B. The Cauchy problem for 1-D linear nonconservative hyperbolic systems with possibly expansive discontinuity of the coefficient: a viscous approach. (English) Zbl 1158.35061 J. Differ. Equations 245, No. 9, 2440-2476 (2008). MSC: 35L45 35R05 PDFBibTeX XMLCite \textit{B. Fornet}, J. Differ. Equations 245, No. 9, 2440--2476 (2008; Zbl 1158.35061) Full Text: DOI HAL
Fornet, Bruno Small viscosity solution of linear scalar 1-D conservation laws with one discontinuity of the coefficient. (English. Abridged French version) Zbl 1153.35051 C. R., Math., Acad. Sci. Paris 346, No. 11-12, 681-686 (2008). MSC: 35L65 65M15 PDFBibTeX XMLCite \textit{B. Fornet}, C. R., Math., Acad. Sci. Paris 346, No. 11--12, 681--686 (2008; Zbl 1153.35051) Full Text: DOI
James, François; Postel, Marie Numerical gradient methods for flux identification in a system of conservation laws. (English) Zbl 1137.65056 J. Eng. Math. 60, No. 3-4, 293-317 (2008). MSC: 65M32 35L65 65M06 65M12 92E20 35R30 PDFBibTeX XMLCite \textit{F. James} and \textit{M. Postel}, J. Eng. Math. 60, No. 3--4, 293--317 (2008; Zbl 1137.65056) Full Text: DOI HAL
Choquard, Philippe; Strömberg, Thomas A one-dimensional inviscid and compressible fluid in a harmonic potential well. (English) Zbl 1173.35408 Acta Appl. Math. 99, No. 2, 161-183 (2007). Reviewer: Milan Pokorný (Praha) MSC: 35F25 76B03 35Q35 35D05 35D10 PDFBibTeX XMLCite \textit{P. Choquard} and \textit{T. Strömberg}, Acta Appl. Math. 99, No. 2, 161--183 (2007; Zbl 1173.35408) Full Text: DOI
Maniglia, Stefania Probabilistic representation and uniqueness results for measure-valued solutions of transport equations. (English) Zbl 1123.60048 J. Math. Pures Appl. (9) 87, No. 6, 601-626 (2007). Reviewer: Michael Högele (Berlin) MSC: 60H15 60H10 35F10 PDFBibTeX XMLCite \textit{S. Maniglia}, J. Math. Pures Appl. (9) 87, No. 6, 601--626 (2007; Zbl 1123.60048) Full Text: DOI
Chertock, Alina; Kurganov, Alexander On a practical implementation of particle methods. (English) Zbl 1103.65103 Appl. Numer. Math. 56, No. 10-11, 1418-1431 (2006). MSC: 65M25 76V05 35L45 65M06 76N15 76M28 PDFBibTeX XMLCite \textit{A. Chertock} and \textit{A. Kurganov}, Appl. Numer. Math. 56, No. 10--11, 1418--1431 (2006; Zbl 1103.65103) Full Text: DOI
Ambrosio, Luigi; Lisini, Stefano; Savaré, Giuseppe Stability of flows associated to gradient vector fields and convergence of iterated transport maps. (English) Zbl 1099.49027 Manuscr. Math. 121, No. 1, 1-50 (2006). MSC: 49Q20 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Manuscr. Math. 121, No. 1, 1--50 (2006; Zbl 1099.49027) Full Text: DOI
Jin, Shi; Wen, Xin Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds. (English) Zbl 1093.78002 J. Comput. Phys. 214, No. 2, 672-697 (2006). Reviewer: Agneta Balint (Timişoara) MSC: 78A05 78M25 PDFBibTeX XMLCite \textit{S. Jin} and \textit{X. Wen}, J. Comput. Phys. 214, No. 2, 672--697 (2006; Zbl 1093.78002) 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 PDFBibTeX XMLCite \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
Ambrosio, Luigi; Crippa, Gianluca; Maniglia, Stefania Traces and fine properties of a \(BD\) class of vector fields and applications. (English) Zbl 1091.35007 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 14, No. 4, 527-541 (2005). MSC: 35B05 35F05 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Ann. Fac. Sci. Toulouse, Math. (6) 14, No. 4, 527--541 (2005; Zbl 1091.35007) Full Text: DOI Numdam EuDML
Dolak, Y.; Schmeiser, C. Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms. (English) Zbl 1077.92003 J. Math. Biol. 51, No. 6, 595-615 (2005). MSC: 92C17 35Q92 37N25 PDFBibTeX XMLCite \textit{Y. Dolak} and \textit{C. Schmeiser}, J. Math. Biol. 51, No. 6, 595--615 (2005; Zbl 1077.92003) Full Text: DOI
Dufour, Guillaume; Villedieu, Philippe A second-order multi-fluid model for evaporating sprays. (English) Zbl 1075.35048 ESAIM, Math. Model. Numer. Anal. 39, No. 5, 931-963 (2005). MSC: 35Q35 76T10 65Z05 76M25 80A25 PDFBibTeX XMLCite \textit{G. Dufour} and \textit{P. Villedieu}, ESAIM, Math. Model. Numer. Anal. 39, No. 5, 931--963 (2005; Zbl 1075.35048) Full Text: DOI Numdam EuDML
Ambrosio, Luigi Transport equation and Cauchy problem for BV vector fields. (English) Zbl 1075.35087 Invent. Math. 158, No. 2, 227-260 (2004). Reviewer: Fabio Bagagiolo (Trento) MSC: 35Q72 35K15 35L65 PDFBibTeX XMLCite \textit{L. Ambrosio}, Invent. Math. 158, No. 2, 227--260 (2004; Zbl 1075.35087) Full Text: DOI
Chen, Gui-Qiang; Liu, Hailiang Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids. (English) Zbl 1098.76603 Physica D 189, No. 1-2, 141-165 (2004). MSC: 76N15 35B25 35L67 35Q35 76L05 76M99 PDFBibTeX XMLCite \textit{G.-Q. Chen} and \textit{H. Liu}, Physica D 189, No. 1--2, 141--165 (2004; Zbl 1098.76603) Full Text: DOI
Amadori, Debora; Gosse, Laurent; Guerra, Graziano Godunov-type approximation for a general resonant balance law with large data. (English) Zbl 1058.35156 J. Differ. Equations 198, No. 2, 233-274 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35L65 65M06 65M12 35L45 PDFBibTeX XMLCite \textit{D. Amadori} et al., J. Differ. Equations 198, No. 2, 233--274 (2004; Zbl 1058.35156) Full Text: DOI
Ben Moussa, B.; Kossioris, G. T. On the system of Hamilton-Jacobi and transport equations arising in geometrical optics. (English) Zbl 1029.78002 Commun. Partial Differ. Equations 28, No. 5-6, 1085-1111 (2003). Reviewer: Ingrid Beltita (Bucureşti) MSC: 78A05 35F25 78A40 35Q60 35L67 PDFBibTeX XMLCite \textit{B. Ben Moussa} and \textit{G. T. Kossioris}, Commun. Partial Differ. Equations 28, No. 5--6, 1085--1111 (2003; Zbl 1029.78002) Full Text: DOI
Nieto, J.; Soler, J.; Poupaud, F. About uniqueness of weak solutions to first order quasi-linear equations. (English) Zbl 1027.35072 Math. Models Methods Appl. Sci. 12, No. 11, 1599-1615 (2002). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35A35 35L45 PDFBibTeX XMLCite \textit{J. Nieto} et al., Math. Models Methods Appl. Sci. 12, No. 11, 1599--1615 (2002; Zbl 1027.35072) Full Text: DOI
Colombini, Ferruccio; Lerner, Nicolas Uniqueness of continuous solutions for BV vector fields. (English) Zbl 1017.35029 Duke Math. J. 111, No. 2, 357-384 (2002). Reviewer: Evgeniy Panov (Novgorod) MSC: 35F10 26A45 PDFBibTeX XMLCite \textit{F. Colombini} and \textit{N. Lerner}, Duke Math. J. 111, No. 2, 357--384 (2002; Zbl 1017.35029) Full Text: DOI
Gosse, Laurent Using \(K\)-branch entropy solutions for multivalued geometric optics computations. (English) Zbl 0999.78003 J. Comput. Phys. 180, No. 1, 155-182 (2002). MSC: 78A05 35Q60 35C05 35Q40 35Q53 65M99 PDFBibTeX XMLCite \textit{L. Gosse}, J. Comput. Phys. 180, No. 1, 155--182 (2002; Zbl 0999.78003) Full Text: DOI
Petrova, Guergana; Popov, Bojan Linear transport equations with \(\mu\)-monotone coefficients. (English) Zbl 0980.35003 J. Math. Anal. Appl. 260, No. 2, 307-324 (2001). Reviewer: N.C.Apreutesei (Iasi) MSC: 35A05 35B35 35F10 34A12 PDFBibTeX XMLCite \textit{G. Petrova} and \textit{B. Popov}, J. Math. Anal. Appl. 260, No. 2, 307--324 (2001; Zbl 0980.35003) Full Text: DOI Link
Runborg, Olof Some new results in multiphase geometrical optics. (English) Zbl 0972.78001 M2AN, Math. Model. Numer. Anal. 34, No. 6, 1203-1231 (2000). MSC: 78A05 35L65 65M06 35Q60 PDFBibTeX XMLCite \textit{O. Runborg}, M2AN, Math. Model. Numer. Anal. 34, No. 6, 1203--1231 (2000; Zbl 0972.78001) Full Text: DOI EuDML Link
Gosse, Laurent; James, François Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients. (English) Zbl 0949.65094 Math. Comput. 69, No. 231, 987-1015 (2000). Reviewer: L.B.Chubarov (Novosibirsk) MSC: 65M06 65M12 35L65 35L45 PDFBibTeX XMLCite \textit{L. Gosse} and \textit{F. James}, Math. Comput. 69, No. 231, 987--1015 (2000; Zbl 0949.65094) Full Text: DOI
Poupaud, F. Global smooth solutions of some quasilinear hyperbolic systems with large data. (English) Zbl 0978.35028 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 8, No. 4, 649-659 (1999). Reviewer: V.Iftode (Bucureşti) MSC: 35L60 35L45 35F25 PDFBibTeX XMLCite \textit{F. Poupaud}, Ann. Fac. Sci. Toulouse, Math. (6) 8, No. 4, 649--659 (1999; Zbl 0978.35028) Full Text: DOI Numdam EuDML
Bouchut, François; James, François Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. (English) Zbl 0937.35098 Commun. Partial Differ. Equations 24, No. 11-12, 2173-2189 (1999). Reviewer: Vladimir Shelukhin (Novosibirsk) MSC: 35L65 35D99 76N15 35F21 PDFBibTeX XMLCite \textit{F. Bouchut} and \textit{F. James}, Commun. Partial Differ. Equations 24, No. 11--12, 2173--2189 (1999; Zbl 0937.35098) Full Text: DOI