Moatti, Julien A structure preserving hybrid finite volume scheme for semiconductor models with magnetic field on general meshes. (English) Zbl 1523.65077 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2557-2593 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M12 35K51 35B40 35Q81 82D37 78A35 35Q60 PDFBibTeX XMLCite \textit{J. Moatti}, ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2557--2593 (2023; Zbl 1523.65077) Full Text: DOI arXiv
Chainais-Hillairet, Claire; Herda, Maxime; Lemaire, Simon; Moatti, Julien Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches. (English) Zbl 1501.65049 Numer. Math. 151, No. 4, 963-1016 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 35K51 35B40 35B09 35A01 35A02 35Q84 PDFBibTeX XMLCite \textit{C. Chainais-Hillairet} et al., Numer. Math. 151, No. 4, 963--1016 (2022; Zbl 1501.65049) Full Text: DOI arXiv
Zhang, Wei Some new results on relative entropy production, time reversal, and optimal control of time-inhomogeneous diffusion processes. (English) Zbl 1467.82067 J. Math. Phys. 62, No. 4, Article ID 043302, 26 p. (2021). MSC: 82C31 60J60 93E20 PDFBibTeX XMLCite \textit{W. Zhang}, J. Math. Phys. 62, No. 4, Article ID 043302, 26 p. (2021; Zbl 1467.82067) Full Text: DOI arXiv
Bors, Dorota; Stańczy, Robert Models of particles of the Michie-King type. (English) Zbl 1467.82069 Commun. Math. Phys. 382, No. 2, 1243-1262 (2021). MSC: 82C40 82C10 82C26 35B44 81V74 83C55 PDFBibTeX XMLCite \textit{D. Bors} and \textit{R. Stańczy}, Commun. Math. Phys. 382, No. 2, 1243--1262 (2021; Zbl 1467.82069) Full Text: DOI
Burger, Martin; Humpert, Ina; Pietschmann, Jan-Frederik On Fokker-Planck equations with in- and outflow of mass. (English) Zbl 1437.35666 Kinet. Relat. Models 13, No. 2, 249-277 (2020). MSC: 35Q92 92C20 92C37 35Q84 35K57 PDFBibTeX XMLCite \textit{M. Burger} et al., Kinet. Relat. Models 13, No. 2, 249--277 (2020; Zbl 1437.35666) Full Text: DOI arXiv
Hilder, Bastian; Peletier, Mark A.; Sharma, Upanshu; Tse, Oliver An inequality connecting entropy distance, Fisher information and large deviations. (English) Zbl 1441.60023 Stochastic Processes Appl. 130, No. 5, 2596-2638 (2020). MSC: 60F10 60K35 60J27 94A17 PDFBibTeX XMLCite \textit{B. Hilder} et al., Stochastic Processes Appl. 130, No. 5, 2596--2638 (2020; Zbl 1441.60023) Full Text: DOI arXiv
La, Joonhyun On diffusive 2D Fokker-Planck-Navier-Stokes systems. (English) Zbl 1461.76027 Arch. Ration. Mech. Anal. 235, No. 3, 1531-1588 (2020). MSC: 76A10 35Q35 82D15 PDFBibTeX XMLCite \textit{J. La}, Arch. Ration. Mech. Anal. 235, No. 3, 1531--1588 (2020; Zbl 1461.76027) Full Text: DOI arXiv
Dolbeault, Jean; García-Huidobro, Marta; Manásevich, Rául Interpolation inequalities in \(\text{W}^{1,p}(\mathbb{S}^1)\) and carré du champ methods. (English) Zbl 1479.35476 Discrete Contin. Dyn. Syst. 40, No. 1, 375-394 (2020). MSC: 35J92 35K92 49K15 58J35 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Discrete Contin. Dyn. Syst. 40, No. 1, 375--394 (2020; Zbl 1479.35476) Full Text: DOI arXiv
Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe Wright-Fisher-type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities. (English) Zbl 1434.35238 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 7, 2065-2082 (2019). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 35Q84 91D30 91B80 35Q91 PDFBibTeX XMLCite \textit{G. Furioli} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 7, 2065--2082 (2019; Zbl 1434.35238) Full Text: DOI arXiv
Hauer, Daniel; Mazón, José M. Kurdyka-Łojasiewicz-Simon inequality for gradient flows in metric spaces. (English) Zbl 1425.49023 Trans. Am. Math. Soc. 372, No. 7, 4917-4976 (2019). MSC: 49Q20 49J52 39B62 35K90 58J35 PDFBibTeX XMLCite \textit{D. Hauer} and \textit{J. M. Mazón}, Trans. Am. Math. Soc. 372, No. 7, 4917--4976 (2019; Zbl 1425.49023) Full Text: DOI arXiv
Cao, Yu; Lu, Jianfeng; Lu, Yulong Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNS-detailed balance. (English) Zbl 1414.81141 J. Math. Phys. 60, No. 5, 052202, 32 p. (2019). MSC: 81S22 94A17 46L57 47D07 PDFBibTeX XMLCite \textit{Y. Cao} et al., J. Math. Phys. 60, No. 5, 052202, 32 p. (2019; Zbl 1414.81141) Full Text: DOI arXiv
Cancès, Clément; Chainais-Hillairet, Claire; Krell, Stella Numerical analysis of a nonlinear free-energy diminishing discrete duality finite volume scheme for convection diffusion equations. (English) Zbl 1401.65096 Comput. Methods Appl. Math. 18, No. 3, 407-432 (2018). MSC: 65M08 65M12 35K20 PDFBibTeX XMLCite \textit{C. Cancès} et al., Comput. Methods Appl. Math. 18, No. 3, 407--432 (2018; Zbl 1401.65096) Full Text: DOI arXiv
Cañizo, José A.; Molino, Alexis Improved energy methods for nonlocal diffusion problems. (English) Zbl 1402.35290 Discrete Contin. Dyn. Syst. 38, No. 3, 1405-1425 (2018). MSC: 35R09 35B40 45A05 35A23 45G10 PDFBibTeX XMLCite \textit{J. A. Cañizo} and \textit{A. Molino}, Discrete Contin. Dyn. Syst. 38, No. 3, 1405--1425 (2018; Zbl 1402.35290) Full Text: DOI arXiv
Eliaš, Ján Trend to equilibrium for a reaction-diffusion system modelling reversible enzyme reaction. (English) Zbl 1385.92022 Bull. Math. Biol. 80, No. 1, 104-129 (2018). MSC: 92C45 35K57 PDFBibTeX XMLCite \textit{J. Eliaš}, Bull. Math. Biol. 80, No. 1, 104--129 (2018; Zbl 1385.92022) Full Text: DOI arXiv
Bessemoulin-Chatard, Marianne; Chainais-Hillairet, Claire Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems. (English) Zbl 1376.82105 J. Numer. Math. 25, No. 3, 147-168 (2017). MSC: 82D37 65M08 82-08 PDFBibTeX XMLCite \textit{M. Bessemoulin-Chatard} and \textit{C. Chainais-Hillairet}, J. Numer. Math. 25, No. 3, 147--168 (2017; Zbl 1376.82105) Full Text: DOI arXiv
Bonforte, Matteo; Dolbeault, Jean; Muratori, Matteo; Nazaret, Bruno Weighted fast diffusion equations I: sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities. (English) Zbl 1361.35075 Kinet. Relat. Models 10, No. 1, 33-59 (2017). MSC: 35K55 46E35 49K30 26D10 49K20 PDFBibTeX XMLCite \textit{M. Bonforte} et al., Kinet. Relat. Models 10, No. 1, 33--59 (2017; Zbl 1361.35075) Full Text: DOI arXiv
Fellner, Klemens; Kovtunenko, Victor A. A discontinuous Poisson-Boltzmann equation with interfacial jump: homogenisation and residual error estimate. (English) Zbl 1379.35011 Appl. Anal. 95, No. 12, 2661-2682 (2016). Reviewer: Fabio Paronetto (Padova) MSC: 35B27 35J60 78A57 82B24 35Q20 PDFBibTeX XMLCite \textit{K. Fellner} and \textit{V. A. Kovtunenko}, Appl. Anal. 95, No. 12, 2661--2682 (2016; Zbl 1379.35011) Full Text: DOI arXiv
Stańczy, R. On stationary and radially symmetric solutions to some drift-diffusion equations with nonlocal term. (English) Zbl 1335.35253 Appl. Anal. 95, No. 1, 97-104 (2016). MSC: 35Q85 47H10 85A05 92C17 35Q31 PDFBibTeX XMLCite \textit{R. Stańczy}, Appl. Anal. 95, No. 1, 97--104 (2016; Zbl 1335.35253) Full Text: DOI
Chafaï, Djalil From Boltzmann to random matrices and beyond. (English. French summary) Zbl 1342.80001 Ann. Fac. Sci. Toulouse, Math. (6) 24, No. 4, 641-689 (2015). Reviewer: Andrea Sgarro (Trieste) MSC: 80-02 60-02 94-02 PDFBibTeX XMLCite \textit{D. Chafaï}, Ann. Fac. Sci. Toulouse, Math. (6) 24, No. 4, 641--689 (2015; Zbl 1342.80001) Full Text: DOI arXiv
Dolbeault, Jean; Stańczy, Robert Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi-Dirac statistics. (English) Zbl 1304.35697 Discrete Contin. Dyn. Syst. 35, No. 1, 139-154 (2015). MSC: 35Q85 70K05 85A05 34E15 37N05 35B32 PDFBibTeX XMLCite \textit{J. Dolbeault} and \textit{R. Stańczy}, Discrete Contin. Dyn. Syst. 35, No. 1, 139--154 (2015; Zbl 1304.35697) Full Text: DOI arXiv
Chainais-Hillairet, Claire Entropy method and asymptotic behaviours of finite volume schemes. (English) Zbl 1305.65194 Fuhrmann, Jürgen (ed.) et al., Finite volumes for complex applications VII – methods, theoretical aspects. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. I. Cham: Springer (ISBN 978-3-319-05683-8/hbk; 978-3-319-05684-5/ebook; 978-3-319-06402-4/set). Springer Proceedings in Mathematics & Statistics 77, 17-35 (2014). MSC: 65M08 PDFBibTeX XMLCite \textit{C. Chainais-Hillairet}, Springer Proc. Math. Stat. 77, 17--35 (2014; Zbl 1305.65194) Full Text: DOI
Marconi, Umberto Marini Bettolo; Puglisi, Andrea; Vulpiani, Angelo About an H-theorem for systems with non-conservative interactions. (English) Zbl 1456.82778 J. Stat. Mech. Theory Exp. 2013, No. 8, Paper No. P08003, 19 p. (2013). MSC: 82C31 PDFBibTeX XMLCite \textit{U. M. B. Marconi} et al., J. Stat. Mech. Theory Exp. 2013, No. 8, Paper No. P08003, 19 p. (2013; Zbl 1456.82778) Full Text: DOI arXiv
Bouchut, François; Boyaval, Sébastien A new model for shallow viscoelastic fluids. (English) Zbl 1383.76031 Math. Models Methods Appl. Sci. 23, No. 8, 1479-1526 (2013). MSC: 76A20 76A05 76M12 65M08 PDFBibTeX XMLCite \textit{F. Bouchut} and \textit{S. Boyaval}, Math. Models Methods Appl. Sci. 23, No. 8, 1479--1526 (2013; Zbl 1383.76031) Full Text: DOI arXiv
Pykh, Yu. A. Entropy characteristics of macrosystems with nonlinear pair interactions. (English. Russian original) Zbl 1238.82019 Dokl. Math. 84, No. 2, 669-671 (2011); translation from Dokl. Akad. Nauk 440, No. 4, 453-455 (2011). MSC: 82C22 PDFBibTeX XMLCite \textit{Yu. A. Pykh}, Dokl. Math. 84, No. 2, 669--671 (2011; Zbl 1238.82019); translation from Dokl. Akad. Nauk 440, No. 4, 453--455 (2011) Full Text: DOI
Bonforte, Matteo; Dolbeault, Jean; Grillo, Gabriele; Vázquez, Juan Luis Sharp rates of decay of solutions to the nonlinear fast diffusion equation via functional inequalities. (English) Zbl 1256.35026 Proc. Natl. Acad. Sci. USA 107, No. 38, 16459-16464 (2010). MSC: 35K57 35B44 PDFBibTeX XMLCite \textit{M. Bonforte} et al., Proc. Natl. Acad. Sci. USA 107, No. 38, 16459--16464 (2010; Zbl 1256.35026) Full Text: DOI arXiv
Dolbeault, Jean; Felmer, Patricio; Lewin, Mathieu Orbitally stable states in generalized Hartree-Fock theory. (English) Zbl 1171.35454 Math. Models Methods Appl. Sci. 19, No. 3, 347-367 (2009). MSC: 35Q40 81V45 81Q10 82B10 35A15 35B35 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Math. Models Methods Appl. Sci. 19, No. 3, 347--367 (2009; Zbl 1171.35454) Full Text: DOI
Bisi, Marzia; Desvillettes, Laurent; Spiga, Giampiero Exponential convergence to equilibrium via Lyapounov functionals for reaction-diffusion equations arising from non reversible chemical kinetics. (English) Zbl 1155.35312 ESAIM, Math. Model. Numer. Anal. 43, No. 1, 151-172 (2009). MSC: 35B40 35B50 35K57 80A30 92E20 PDFBibTeX XMLCite \textit{M. Bisi} et al., ESAIM, Math. Model. Numer. Anal. 43, No. 1, 151--172 (2009; Zbl 1155.35312) Full Text: DOI EuDML
Blanchet, Adrien; Carrillo, José A.; Masmoudi, Nader Infinite time aggregation for the critical Patlak-Keller-Segel model in \(\mathbb R^2\). (English) Zbl 1155.35100 Commun. Pure Appl. Math. 61, No. 10, 1449-1481 (2008). Reviewer: Philippe Laurençot (Toulouse) MSC: 35Q80 35B35 35B40 92C17 PDFBibTeX XMLCite \textit{A. Blanchet} et al., Commun. Pure Appl. Math. 61, No. 10, 1449--1481 (2008; Zbl 1155.35100) Full Text: DOI
Arnold, A.; Carrillo, J. A.; Klapproth, C. Improved entropy decay estimates for the heat equation. (English) Zbl 1139.35012 J. Math. Anal. Appl. 343, No. 1, 190-206 (2008). MSC: 35B34 35B45 35A08 35K15 PDFBibTeX XMLCite \textit{A. Arnold} et al., J. Math. Anal. Appl. 343, No. 1, 190--206 (2008; Zbl 1139.35012) Full Text: DOI
Cañizo, José A. Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance. (English) Zbl 1137.82011 J. Stat. Phys. 129, No. 1, 1-26 (2007). Reviewer: Bassano Vacchini (Milano) MSC: 82C05 82C31 PDFBibTeX XMLCite \textit{J. A. Cañizo}, J. Stat. Phys. 129, No. 1, 1--26 (2007; Zbl 1137.82011) Full Text: DOI arXiv Link
Bartier, Jean-Philippe; Dolbeault, Jean; Illner, Reinhard; Kowalczyk, Michał A qualitative study of linear drift-diffusion equations with time-dependent or degenerate coefficients. (English) Zbl 1117.35030 Math. Models Methods Appl. Sci. 17, No. 3, 327-362 (2007). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35K10 26D10 35K15 35K20 35K65 46E35 47J20 PDFBibTeX XMLCite \textit{J.-P. Bartier} et al., Math. Models Methods Appl. Sci. 17, No. 3, 327--362 (2007; Zbl 1117.35030) Full Text: DOI
Ukai, Seiji; Yang, Tong; Zhao, Huijiang Convergence rate to stationary solutions for Boltzmann equation with external force. (English) Zbl 1151.76571 Chin. Ann. Math., Ser. B 27, No. 4, 363-378 (2006). MSC: 76P05 35B35 35F20 PDFBibTeX XMLCite \textit{S. Ukai} et al., Chin. Ann. Math., Ser. B 27, No. 4, 363--378 (2006; Zbl 1151.76571) Full Text: DOI
Michel, Philippe; Mischler, Stéphane; Perthame, Benoît General relative entropy inequality: an illustration on growth models. (English) Zbl 1085.35042 J. Math. Pures Appl., IX. Sér. 84, No. 9, 1235-1260 (2005). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B45 35B40 37B25 45K05 35B10 92D25 PDFBibTeX XMLCite \textit{P. Michel} et al., J. Math. Pures Appl. (9) 84, No. 9, 1235--1260 (2005; Zbl 1085.35042) Full Text: DOI
Arnold, Anton; Dolbeault, Jean Refined convex Sobolev inequalities. (English) Zbl 1087.35018 J. Funct. Anal. 225, No. 2, 337-351 (2005). Reviewer: Denise Huet (Nancy) MSC: 35B45 26D10 46E35 PDFBibTeX XMLCite \textit{A. Arnold} and \textit{J. Dolbeault}, J. Funct. Anal. 225, No. 2, 337--351 (2005; Zbl 1087.35018) Full Text: DOI Link