Carrillo, José A.; Peng, Yingping; Xiang, Zhaoyin Global existence and decay rates to a self-consistent chemotaxis-fluid system. (English) Zbl 07770126 Discrete Contin. Dyn. Syst. 44, No. 1, 116-153 (2024). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35Q35 35K55 35B40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Discrete Contin. Dyn. Syst. 44, No. 1, 116--153 (2024; Zbl 07770126) Full Text: DOI arXiv
Carrillo, José A.; Gómez-Castro, David; Yao, Yao; Zeng, Chongchun Asymptotic simplification of aggregation-diffusion equations towards the heat kernel. (English) Zbl 1509.35041 Arch. Ration. Mech. Anal. 247, No. 1, Paper No. 11, 45 p. (2023). MSC: 35B40 35B45 35K08 35R09 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Arch. Ration. Mech. Anal. 247, No. 1, Paper No. 11, 45 p. (2023; Zbl 1509.35041) Full Text: DOI arXiv
Carrillo, José A.; Gvalani, Rishabh S.; Wu, Jeremy S.-H. An invariance principle for gradient flows in the space of probability measures. (English) Zbl 1511.35030 J. Differ. Equations 345, 233-284 (2023). Reviewer: Debabrata Karmakar (Bangalore) MSC: 35B40 35K90 37L15 49Q22 35Q70 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Differ. Equations 345, 233--284 (2023; Zbl 1511.35030) Full Text: DOI arXiv
Carrillo, José A.; Fernández-Jiménez, A.; Gómez-Castro, D. Partial mass concentration for fast-diffusions with non-local aggregation terms. arXiv:2304.04582 Preprint, arXiv:2304.04582 [math.AP] (2023). MSC: 35K55 35K65 35B40 35D40 35Q84 BibTeX Cite \textit{J. A. Carrillo} et al., ``Partial mass concentration for fast-diffusions with non-local aggregation terms'', Preprint, arXiv:2304.04582 [math.AP] (2023) Full Text: arXiv OA License
Carrillo, José A.; Elbar, Charles; Skrzeczkowski, Jakub Degenerate Cahn-Hilliard systems: From nonlocal to local. arXiv:2303.11929 Preprint, arXiv:2303.11929 [math.AP] (2023). MSC: 35B40 35D30 35K25 35K55 BibTeX Cite \textit{J. A. Carrillo} et al., ``Degenerate Cahn-Hilliard systems: From nonlocal to local'', Preprint, arXiv:2303.11929 [math.AP] (2023) Full Text: arXiv OA License
Carrillo, José A.; Chen, Lin; Wang, Qi An optimal mass transport method for random genetic drift. (English) Zbl 1496.65109 SIAM J. Numer. Anal. 60, No. 3, 940-969 (2022). MSC: 65M06 49M15 92D25 92D20 35B40 35B44 35R60 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., SIAM J. Numer. Anal. 60, No. 3, 940--969 (2022; Zbl 1496.65109) Full Text: DOI arXiv
Carrillo, Jose A.; Gómez-Castro, David; Vázquez, Juan Luis Infinite-time concentration in aggregation-diffusion equations with a given potential. (English. French summary) Zbl 1481.35048 J. Math. Pures Appl. (9) 157, 346-398 (2022). MSC: 35B40 35B44 35D40 35K15 35K59 35K65 35Q84 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Math. Pures Appl. (9) 157, 346--398 (2022; Zbl 1481.35048) Full Text: DOI arXiv
Carrillo, José A.; Dou, Xu’an; Zhou, Zhennan A simplified voltage-conductance kinetic model for interacting neurons and its asymptotic limit. arXiv:2203.02746 Preprint, arXiv:2203.02746 [math.AP] (2022). MSC: 35B10 35B40 35Q84 92B20 BibTeX Cite \textit{J. A. Carrillo} et al., ``A simplified voltage-conductance kinetic model for interacting neurons and its asymptotic limit'', Preprint, arXiv:2203.02746 [math.AP] (2022) Full Text: arXiv OA License
Bruna, M.; Burger, M.; Carrillo, J. A. Coarse graining of a Fokker-Planck equation with excluded volume effects preserving the gradient flow structure. (English) Zbl 1510.35339 Eur. J. Appl. Math. 32, No. 4, 711-745 (2021). Reviewer: Mohamed Majdoub (Dammam) MSC: 35Q84 35K55 49K20 60J70 35C20 35A15 35B40 PDFBibTeX XMLCite \textit{M. Bruna} et al., Eur. J. Appl. Math. 32, No. 4, 711--745 (2021; Zbl 1510.35339) Full Text: DOI arXiv
Carrillo, José Antonio; Parisot, Martin; Szymańska, Zuzanna Mathematical modelling of collagen fibres rearrangement during the tendon healing process. (English) Zbl 1502.35176 Kinet. Relat. Models 14, No. 2, 283-301 (2021). MSC: 35Q92 35Q84 35R09 92-08 92-10 92C10 92C50 92C37 35B40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Kinet. Relat. Models 14, No. 2, 283--301 (2021; Zbl 1502.35176) Full Text: DOI
Carrillo, José A.; Choi, Young-Pil; Jung, Jinwook Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces. (English) Zbl 1483.35267 Math. Models Methods Appl. Sci. 31, No. 2, 327-408 (2021). MSC: 35Q83 35Q31 35Q84 35B40 35D30 35D35 35A01 82C40 92C15 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Math. Models Methods Appl. Sci. 31, No. 2, 327--408 (2021; Zbl 1483.35267) Full Text: DOI arXiv
Carrillo, Jose A.; Li, Jingyu; Wang, Zhi-An Boundary spike-layer solutions of the singular Keller-Segel system: existence and stability. (English) Zbl 1464.35013 Proc. Lond. Math. Soc. (3) 122, No. 1, 42-68 (2021). MSC: 35B25 35B40 35K51 35K57 76D10 92C17 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Proc. Lond. Math. Soc. (3) 122, No. 1, 42--68 (2021; Zbl 1464.35013) Full Text: DOI arXiv
Calvez, Vincent; Carrillo, José Antonio; Hoffmann, Franca Uniqueness of stationary states for singular Keller-Segel type models. (English) Zbl 1458.35004 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 205, Article ID 112222, 25 p. (2021). MSC: 35A02 92C17 35B38 35B40 26D10 35J62 PDFBibTeX XMLCite \textit{V. Calvez} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 205, Article ID 112222, 25 p. (2021; Zbl 1458.35004) Full Text: DOI arXiv
Carrillo, J. A.; Totzeck, C.; Vaes, U. Consensus-based Optimization and Ensemble Kalman Inversion for Global Optimization Problems with Constraints. arXiv:2111.02970 Preprint, arXiv:2111.02970 [math.OC] (2021). MSC: 90C26 35Q93 35B40 35R30 65N21 BibTeX Cite \textit{J. A. Carrillo} et al., ``Consensus-based Optimization and Ensemble Kalman Inversion for Global Optimization Problems with Constraints'', Preprint, arXiv:2111.02970 [math.OC] (2021) Full Text: arXiv OA License
Carrillo, José A.; Choi, Young-Pil Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces. (English) Zbl 1440.35322 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 4, 925-954 (2020). MSC: 35Q70 35Q83 35Q31 35B25 70F40 35B40 92C15 35Q92 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{Y.-P. Choi}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 4, 925--954 (2020; Zbl 1440.35322) Full Text: DOI arXiv
Carrillo, Jose A.; Chen, Xinfu; Wang, Qi; Wang, Zhian; Zhang, Lu Phase transitions and bump solutions of the Keller-Segel model with volume exclusion. (English) Zbl 1475.35036 SIAM J. Appl. Math. 80, No. 1, 232-261 (2020). Reviewer: Yuanyuan Ke (Beijing) MSC: 35B35 35B36 35B40 35J57 35K65 82C26 92C17 92D25 34B08 34B15 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., SIAM J. Appl. Math. 80, No. 1, 232--261 (2020; Zbl 1475.35036) Full Text: DOI arXiv
Carrillo, José A.; Hopf, Katharina; Rodrigo, José L. On the singularity formation and relaxation to equilibrium in 1D Fokker-Planck model with superlinear drift. (English) Zbl 1433.35408 Adv. Math. 360, Article ID 106883, 66 p. (2020). MSC: 35Q84 35K55 35K65 35K67 82C31 35B65 35B40 35A01 35A02 35D30 35D40 35B44 35R06 82C10 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Adv. Math. 360, Article ID 106883, 66 p. (2020; Zbl 1433.35408) Full Text: DOI arXiv
Carrillo, J. A.; Hittmeir, S.; Volzone, B.; Yao, Y. Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics. (English) Zbl 1427.35136 Invent. Math. 218, No. 3, 889-977 (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 35K59 35B07 35B40 49J10 49Q20 82C22 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Invent. Math. 218, No. 3, 889--977 (2019; Zbl 1427.35136) Full Text: DOI arXiv
Cañizo, José A.; Carrillo, José A.; Pájaro, Manuel Exponential equilibration of genetic circuits using entropy methods. (English) Zbl 1414.35233 J. Math. Biol. 78, No. 1-2, 373-411 (2019). MSC: 35Q92 35B40 92D10 92D20 65M99 35R09 45K05 65M12 PDFBibTeX XMLCite \textit{J. A. Cañizo} et al., J. Math. Biol. 78, No. 1--2, 373--411 (2019; Zbl 1414.35233) Full Text: DOI arXiv Link
Carrillo, José A.; Wróblewska-Kamińska, Aneta; Zatorska, Ewelina On long-time asymptotics for viscous hydrodynamic models of collective behavior with damping and nonlocal interactions. (English) Zbl 1411.35224 Math. Models Methods Appl. Sci. 29, No. 1, 31-63 (2019). MSC: 35Q35 76N10 92D25 35B40 35Q92 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Math. Models Methods Appl. Sci. 29, No. 1, 31--63 (2019; Zbl 1411.35224) Full Text: DOI arXiv
Calvez, Vincent; Carrillo, José Antonio; Hoffmann, Franca The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime. (English) Zbl 1384.35134 Bonforte, Matteo (ed.) et al., Nonlocal and nonlinear diffusions and interactions: new methods and directions. Cetraro, Italy, July 4–8, 2016. Lecture notes given at the course. Cham: Springer (ISBN 978-3-319-61493-9/pbk; 978-3-319-61494-6/ebook). Lecture Notes in Mathematics 2186. CIME Foundation Subseries, 1-71 (2017). MSC: 35Q92 35-02 92C17 35B40 35C06 PDFBibTeX XMLCite \textit{V. Calvez} et al., Lect. Notes Math. 2186, 1--71 (2017; Zbl 1384.35134) Full Text: DOI arXiv Link
Carrillo, José A.; Di Francesco, Marco; Toscani, Giuseppe Condensation phenomena in nonlinear drift equations. (English) Zbl 1355.35134 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 15, Spec. Iss., 145-171 (2016). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35B40 35B44 35Q40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 15, 145--171 (2016; Zbl 1355.35134) Full Text: DOI arXiv
Cañizo, José A.; Carrillo, José A.; Laurençot, Philippe; Rosado, Jesús The Fokker-Planck equation for bosons in 2D: well-posedness and asymptotic behavior. (English) Zbl 1339.35321 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 137, 291-305 (2016). MSC: 35Q84 35B40 82C31 PDFBibTeX XMLCite \textit{J. A. Cañizo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 137, 291--305 (2016; Zbl 1339.35321) Full Text: DOI arXiv
Carrillo, José A.; Choi, Young-Pil; Karper, Trygve K. On the analysis of a coupled kinetic-fluid model with local alignment forces. (English) Zbl 1339.35233 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 2, 273-307 (2016). Reviewer: V. D. Sharma (Mumbai) MSC: 35Q35 35B40 76T20 35D30 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 2, 273--307 (2016; Zbl 1339.35233) Full Text: DOI arXiv
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
Carrillo, José Antonio; Perthame, Benoît; Salort, Delphine; Smets, Didier Qualitative properties of solutions for the noisy integrate and fire model in computational neuroscience. (English) Zbl 1336.35332 Nonlinearity 28, No. 9, 3365-3388 (2015). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35Q84 35K60 82C32 92B20 35B44 35B40 35Q92 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Nonlinearity 28, No. 9, 3365--3388 (2015; Zbl 1336.35332) Full Text: DOI HAL
Carrillo, José Antonio; Castorina, Daniele; Volzone, Bruno Ground states for diffusion dominated free energies with logarithmic interaction. (English) Zbl 1323.35095 SIAM J. Math. Anal. 47, No. 1, 1-25 (2015). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K65 35J15 47J20 35B40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., SIAM J. Math. Anal. 47, No. 1, 1--25 (2015; Zbl 1323.35095) Full Text: DOI arXiv
Carrillo, J. A.; Toscani, G. Rényi entropy and improved equilibration rates to self-similarity for nonlinear diffusion equations. (English) Zbl 1307.35141 Nonlinearity 27, No. 12, 3159-3177 (2014). MSC: 35K55 35K60 35K65 35B40 60G18 60J60 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{G. Toscani}, Nonlinearity 27, No. 12, 3159--3177 (2014; Zbl 1307.35141) Full Text: DOI arXiv
Balagué, Daniel; Carrillo, José A.; Yao, Yao Confinement for repulsive-attractive kernels. (English) Zbl 1304.35703 Discrete Contin. Dyn. Syst., Ser. B 19, No. 5, 1227-1248 (2014). MSC: 35Q92 35B40 37N25 PDFBibTeX XMLCite \textit{D. Balagué} et al., Discrete Contin. Dyn. Syst., Ser. B 19, No. 5, 1227--1248 (2014; Zbl 1304.35703) Full Text: DOI arXiv
Carrillo, José A.; Choi, Young-Pil; Ha, Seung-Yeal; Kang, Moon-Jin; Kim, Yongduck Contractivity of transport distances for the kinetic Kuramoto equation. (English) Zbl 1303.82016 J. Stat. Phys. 156, No. 2, 395-415 (2014). MSC: 82C26 92D25 82C70 92B25 35Q82 35Q92 35B40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Stat. Phys. 156, No. 2, 395--415 (2014; Zbl 1303.82016) Full Text: DOI arXiv
Balagué, D.; Carrillo, J. A.; Laurent, T.; Raoul, G. Nonlocal interactions by repulsive-attractive potentials: radial ins/stability. (English) Zbl 1286.35038 Physica D 260, 5-25 (2013). MSC: 35B40 35B07 35R11 PDFBibTeX XMLCite \textit{D. Balagué} et al., Physica D 260, 5--25 (2013; Zbl 1286.35038) Full Text: DOI arXiv
Calvez, Vincent; Carrillo, José Antonio Refined asymptotics for the subcritical Keller-Segel system and related functional inequalities. (English) Zbl 1277.35051 Proc. Am. Math. Soc. 140, No. 10, 3515-3530 (2012). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B40 35Q92 92C17 35K15 35K58 PDFBibTeX XMLCite \textit{V. Calvez} and \textit{J. A. Carrillo}, Proc. Am. Math. Soc. 140, No. 10, 3515--3530 (2012; Zbl 1277.35051) Full Text: DOI arXiv
Carrillo, José Antonio; Hittmeir, Sabine; Jüngel, Ansgar Cross diffusion and nonlinear diffusion preventing blow up in the Keller-Segel model. (English) Zbl 1263.35131 Math. Models Methods Appl. Sci. 22, No. 12, Article ID 1250041, 35 p. (2012). Reviewer: Gabriela Marinoschi (Bucharest) MSC: 35K51 35B40 35B44 35K59 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Math. Models Methods Appl. Sci. 22, No. 12, Article ID 1250041, 35 p. (2012; Zbl 1263.35131) Full Text: DOI arXiv
Carrillo, José A.; Ferreira, Lucas C. F.; Precioso, Juliana C. A mass-transportation approach to a one dimensional fluid mechanics model with nonlocal velocity. (English) Zbl 1252.35224 Adv. Math. 231, No. 1, 306-327 (2012). MSC: 35Q35 35C06 35B40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Adv. Math. 231, No. 1, 306--327 (2012; Zbl 1252.35224) Full Text: DOI arXiv
Cañizo, José A.; Carrillo, José A.; Schonbek, Maria E. Decay rates for a class of diffusive-dominated interaction equations. (English) Zbl 1248.35019 J. Math. Anal. Appl. 389, No. 1, 541-557 (2012). Reviewer: Bixiang Wang (Socorro) MSC: 35B40 35K15 PDFBibTeX XMLCite \textit{J. A. Cañizo} et al., J. Math. Anal. Appl. 389, No. 1, 541--557 (2012; Zbl 1248.35019) Full Text: DOI arXiv
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
Cañizo, J. A.; Carrillo, J. A.; Rosado, J. A well-posedness theory in measures for some kinetic models of collective motion. (English) Zbl 1218.35005 Math. Models Methods Appl. Sci. 21, No. 3, 515-539 (2011). MSC: 35A01 35A02 35B40 82D99 92D50 PDFBibTeX XMLCite \textit{J. A. Cañizo} et al., Math. Models Methods Appl. Sci. 21, No. 3, 515--539 (2011; Zbl 1218.35005) Full Text: DOI arXiv
Carrillo, J. A.; Karper, T.; Trivisa, K. On the dynamics of a fluid-particle interaction model: the bubbling regime. (English) Zbl 1214.35068 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 8, 2778-2801 (2011). MSC: 35Q70 70B05 35A01 35B40 35B35 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 8, 2778--2801 (2011; Zbl 1214.35068) Full Text: DOI arXiv
Carrillo, José A.; Duan, Renjun; Moussa, Ayman Global classical solutions close to equilibrium to the Vlasov-Fokker-Planck-Euler system. (English) Zbl 1215.35127 Kinet. Relat. Models 4, No. 1, 227-258 (2011). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q31 35Q84 76T20 35B40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Kinet. Relat. Models 4, No. 1, 227--258 (2011; Zbl 1215.35127) Full Text: DOI
Carrillo, J. A.; Difrancesco, M.; Figalli, A.; Laurent, T.; Slepčev, D. Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations. (English) Zbl 1215.35045 Duke Math. J. 156, No. 2, 229-271 (2011). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35D30 35B44 35B40 45K05 49K20 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Duke Math. J. 156, No. 2, 229--271 (2011; Zbl 1215.35045) Full Text: DOI
Agueh, Martial; Blanchet, Adrien; Carrillo, José A. Large time asymptotics of the doubly nonlinear equation in the non-displacement convexity regime. (English) Zbl 1239.35063 J. Evol. Equ. 10, No. 1, 59-84 (2010). MSC: 35K57 35B40 35B35 35K92 PDFBibTeX XMLCite \textit{M. Agueh} et al., J. Evol. Equ. 10, No. 1, 59--84 (2010; Zbl 1239.35063) Full Text: DOI arXiv Link
Carrillo, José Antonio; Lisini, Stefano On the asymptotic behavior of the gradient flow of a polyconvex functional. (English) Zbl 1223.35059 Holden, Helge (ed.) et al., Nonlinear partial differential equations and hyperbolic wave phenomena. The 2008–2009 research program on nonlinear partial differential equations, Centre for Advanced Study at the Norwegian Academy of Science and Letters, Oslo, Norway. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4976-7/pbk). Contemporary Mathematics 526, 37-51 (2010). Reviewer: M. Marin (Brasov) MSC: 35B40 35K51 35Q84 35K55 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{S. Lisini}, Contemp. Math. 526, 37--51 (2010; Zbl 1223.35059)
Carrillo, J. A.; Fornasier, M.; Rosado, J.; Toscani, G. Asymptotic flocking dynamics for the kinetic Cucker-Smale model. (English) Zbl 1223.35058 SIAM J. Math. Anal. 42, No. 1, 218-236 (2010). MSC: 35B40 82D99 92D50 35Q20 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., SIAM J. Math. Anal. 42, No. 1, 218--236 (2010; Zbl 1223.35058) Full Text: DOI
Arnold, A.; Carrillo, J. A.; Manzini, C. Refined long-time asymptotics for some polymeric fluid flow models. (English) Zbl 1213.35094 Commun. Math. Sci. 8, No. 3, 763-782 (2010). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35B40 35K15 35Q30 76T20 PDFBibTeX XMLCite \textit{A. Arnold} et al., Commun. Math. Sci. 8, No. 3, 763--782 (2010; Zbl 1213.35094) Full Text: DOI Euclid
Carrillo, José A.; Laurençot, Philippe; Rosado, Jesús Fermi-Dirac-Fokker-Planck equation: well-posedness and long-time asymptotics. (English) Zbl 1181.35292 J. Differ. Equations 247, No. 8, 2209-2234 (2009). MSC: 35Q84 35D30 35B45 76R50 35B40 82C40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Differ. Equations 247, No. 8, 2209--2234 (2009; Zbl 1181.35292) Full Text: DOI arXiv
Carlen, Eric A.; Carrillo, José A.; Carvalho, Maria C. Strong convergence towards homogeneous cooling states for dissipative Maxwell models. (English) Zbl 1175.82046 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 5, 1675-1700 (2009). MSC: 82C40 35B40 35Q20 PDFBibTeX XMLCite \textit{E. A. Carlen} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 5, 1675--1700 (2009; Zbl 1175.82046) Full Text: DOI arXiv EuDML
Blanchet, Adrien; Carrillo, José A.; Laurençot, Philippe Critical mass for a Patlak-Keller-Segel model with degenerate diffusion in higher dimensions. (English) Zbl 1172.35035 Calc. Var. Partial Differ. Equ. 35, No. 2, 133-168 (2009). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K65 35B40 PDFBibTeX XMLCite \textit{A. Blanchet} et al., Calc. Var. Partial Differ. Equ. 35, No. 2, 133--168 (2009; Zbl 1172.35035) Full Text: DOI arXiv
Carrillo, José A.; Cordier, Stéphane; Toscani, Giuseppe Over-populated tails for conservative-in-the-mean inelastic Maxwell models. (English) Zbl 1163.82008 Discrete Contin. Dyn. Syst. 24, No. 1, 59-81 (2009). MSC: 82C40 35B40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Discrete Contin. Dyn. Syst. 24, No. 1, 59--81 (2009; Zbl 1163.82008) Full Text: DOI arXiv
Bertozzi, Andrea L.; Carrillo, José A.; Laurent, Thomas Blow-up in multidimensional aggregation equations with mildly singular interaction kernels. (English) Zbl 1194.35053 Nonlinearity 22, No. 3, 683-710 (2009). MSC: 35B40 35L60 92B05 45K05 PDFBibTeX XMLCite \textit{A. L. Bertozzi} et al., Nonlinearity 22, No. 3, 683--710 (2009; Zbl 1194.35053) Full Text: DOI
Carrillo, J. A.; Gualdani, M. P.; Jüngel, A. Convergence of an entropic semi-discretization for nonlinear Fokker-Planck equations in \(\mathbb R^d\). (English) Zbl 1152.35317 Publ. Mat., Barc. 52, No. 2, 413-433 (2008). MSC: 35B40 35K65 35B50 82C31 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Publ. Mat., Barc. 52, No. 2, 413--433 (2008; Zbl 1152.35317) 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
Carrillo, J. A.; Desvillettes, L.; Fellner, K. Fast-reaction limit for the inhomogeneous Aizenman-Bak model. (English) Zbl 1148.35302 Kinet. Relat. Models 1, No. 1, 127-137 (2008). MSC: 35B40 35Q72 82D60 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Kinet. Relat. Models 1, No. 1, 127--137 (2008; Zbl 1148.35302) Full Text: DOI
Carrillo, José A.; di Francesco, Marco; Gualdani, Maria P. Semidiscretization and long-time asymptotics of nonlinear diffusion equations. (English) Zbl 1145.35028 Commun. Math. Sci. 1, Suppl., 21-53 (2007). Reviewer: Qin Mengzhao (Beijing) MSC: 35B40 35K55 35K65 65M20 35A35 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Commun. Math. Sci. 1, 21--53 (2007; Zbl 1145.35028) Full Text: DOI
Carrillo, J. A.; Toscani, G. Contractive probability metrics and asymptotic behavior of dissipative kinetic equations. (English) Zbl 1142.82018 Riv. Mat. Univ. Parma (7) 6, 75-198 (2007). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82C40 35B40 82D05 42-XX PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{G. Toscani}, Riv. Mat. Univ. Parma (7) 6, 75--198 (2007; Zbl 1142.82018)
Carrillo, J. A.; Vázquez, J. L. Asymptotic complexity in filtration equations. (English) Zbl 1156.35051 J. Evol. Equ. 7, No. 3, 471-495 (2007). Reviewer: Shigeru Sakaguchi (Hiroshima) MSC: 35K55 35B40 35K15 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{J. L. Vázquez}, J. Evol. Equ. 7, No. 3, 471--495 (2007; Zbl 1156.35051) Full Text: DOI
Carrillo, José A.; Ferreira, Lucas C. F. Self-similar solutions and large time asymptotics for the dissipative quasi-geostrophic equation. (English) Zbl 1126.35048 Monatsh. Math. 151, No. 2, 111-142 (2007). Reviewer: Elena Gavrilova (Sofia) MSC: 35Q35 35B40 76D03 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{L. C. F. Ferreira}, Monatsh. Math. 151, No. 2, 111--142 (2007; Zbl 1126.35048) Full Text: DOI
Carrillo, J. A.; Di Francesco, M.; Toscani, G. Strict contractivity of the 2-Wasserstein distance for the porous medium equation by mass-centering. (English) Zbl 1125.35053 Proc. Am. Math. Soc. 135, No. 2, 353-363 (2007). Reviewer: Vladimir N. Grebenev (Novosibirsk) MSC: 35K65 35B40 35K15 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Proc. Am. Math. Soc. 135, No. 2, 353--363 (2007; Zbl 1125.35053) Full Text: DOI
Carrillo, José A.; Dolbeault, Jean; Gentil, Ivan; Jüngel, Ansgar Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations. (English) Zbl 1113.35034 Discrete Contin. Dyn. Syst., Ser. B 6, No. 5, 1027-1050 (2006). Reviewer: Lubomira Softova (Bari) MSC: 35B45 35K35 35K55 35B40 26D10 76D08 76S05 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Discrete Contin. Dyn. Syst., Ser. B 6, No. 5, 1027--1050 (2006; Zbl 1113.35034) Full Text: DOI
Carrillo, José A.; Ferreira, Lucas C. F. Convergence towards self-similar asymptotic behavior for the dissipative quasi-geostrophic equations. (English) Zbl 1121.35109 Biler, Piotr (ed.) et al., Self-similar solutions of nonlinear PDE. Selected papers of the conference, Bȩdlewo, Poland, September 5–9, 2005. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 74, 95-115 (2006). Reviewer: Iuliana Oprea (Fort Collins) MSC: 35Q35 76D03 35B40 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{L. C. F. Ferreira}, Banach Cent. Publ. 74, 95--115 (2006; Zbl 1121.35109)
Carrillo, José A.; Di Francesco, Marco; Lattanzio, Corrado Contractivity of Wasserstein metrics and asymptotic profiles for scalar conservation laws. (English) Zbl 1168.35390 J. Differ. Equations 231, No. 2, 425-458 (2006). MSC: 35L65 35B40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Differ. Equations 231, No. 2, 425--458 (2006; Zbl 1168.35390) Full Text: DOI
Carrillo, José A.; Di Francesco, Marco; Toscani, Giuseppe Intermediate asymptotics beyond homogeneity and self-similarity: long time behavior for \(u_t = \Delta\varphi(u)\). (English) Zbl 1096.35015 Arch. Ration. Mech. Anal. 180, No. 1, 127-149 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35B40 35K65 35K15 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Arch. Ration. Mech. Anal. 180, No. 1, 127--149 (2006; Zbl 1096.35015) Full Text: DOI
Carrillo, José A.; Fellner, Klemens Long-time asymptotics via entropy methods for diffusion dominated equations. (English) Zbl 1211.35158 Asymptotic Anal. 42, No. 1-2, 29-54 (2005). MSC: 35K65 35B40 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{K. Fellner}, Asymptotic Anal. 42, No. 1--2, 29--54 (2005; Zbl 1211.35158)
Cáceres, María J.; Carrillo, J. A.; Toscani, G. Long-time behavior for a nonlinear fourth-order parabolic equation. (English) Zbl 1077.35028 Trans. Am. Math. Soc. 357, No. 3, 1161-1175 (2005). Reviewer: Andrey E. Shishkov (Donetsk) MSC: 35B40 35K60 35K30 35K35 PDFBibTeX XMLCite \textit{M. J. Cáceres} et al., Trans. Am. Math. Soc. 357, No. 3, 1161--1175 (2005; Zbl 1077.35028) Full Text: DOI
Sparber, C.; Carrillo, J. A.; Dolbeault, J.; Markowich, P. A. On the long-time behavior of the quantum Fokker-Planck equation. (English) Zbl 1061.35095 Monatsh. Math. 141, No. 3, 237-257 (2004). Reviewer: Hideo Yamagata (Osaka) MSC: 35Q40 35B40 81Q05 35K57 82C10 PDFBibTeX XMLCite \textit{C. Sparber} et al., Monatsh. Math. 141, No. 3, 237--257 (2004; Zbl 1061.35095) Full Text: DOI arXiv
Carrillo, José A.; McCann, Robert J.; Villani, Cédric Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates. (English) Zbl 1073.35127 Rev. Mat. Iberoam. 19, No. 3, 971-1018 (2003). Reviewer: Jacek Banasiak (Durban) MSC: 35K65 35K55 35B40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Rev. Mat. Iberoam. 19, No. 3, 971--1018 (2003; Zbl 1073.35127) Full Text: DOI EuDML
Carrillo, José A.; Vázquez, Juan L. Fine asymptotics for fast diffusion equations. (English) Zbl 1036.35100 Commun. Partial Differ. Equations 28, No. 5-6, 1023-1056 (2003). Reviewer: Chiu Yeung Chan (Lafayette) MSC: 35K65 35K57 35K55 35B40 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{J. L. Vázquez}, Commun. Partial Differ. Equations 28, No. 5--6, 1023--1056 (2003; Zbl 1036.35100) Full Text: DOI
Cáceres, Maria J.; Carrillo, José A.; Goudon, Thierry Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles. (English) Zbl 1045.35094 Commun. Partial Differ. Equations 28, No. 5-6, 969-989 (2003). MSC: 35F25 82C40 35B40 PDFBibTeX XMLCite \textit{M. J. Cáceres} et al., Commun. Partial Differ. Equations 28, No. 5--6, 969--989 (2003; Zbl 1045.35094) Full Text: DOI
Carrillo, José A.; Jüngel, Ansgar; Tang, Shaoqiang Positive entropic schemes for a nonlinear fourth-order parabolic equation. (English) Zbl 1023.65090 Discrete Contin. Dyn. Syst., Ser. B 3, No. 1, 1-20 (2003). MSC: 65M06 35B40 35Q40 35K55 35G25 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Discrete Contin. Dyn. Syst., Ser. B 3, No. 1, 1--20 (2003; Zbl 1023.65090) Full Text: DOI
Arnold, Anton; Carrillo, Jose A.; Tidriri, Moulay D. Large-time behavior of discrete kinetic equations with non-symmetric interactions. (English) Zbl 1033.35072 Math. Models Methods Appl. Sci. 12, No. 11, 1555-1564 (2002). MSC: 35L50 34B60 35B40 82C40 PDFBibTeX XMLCite \textit{A. Arnold} et al., Math. Models Methods Appl. Sci. 12, No. 11, 1555--1564 (2002; Zbl 1033.35072) Full Text: DOI
Carrillo, J. A.; Lederman, C.; Markowich, P. A.; Toscani, G. Poincaré inequalities for linearizations of very fast diffusion equations. (English) Zbl 1011.35025 Nonlinearity 15, No. 3, 565-580 (2002). Reviewer: Gabriella Tarantello (Roma) MSC: 35B40 26D10 35K65 35K55 35B45 35R45 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Nonlinearity 15, No. 3, 565--580 (2002; Zbl 1011.35025) Full Text: DOI Link
Carrillo, J. A.; Toscani, G. Long-Time asymptotics for strong solutions of the thin film equation. (English) Zbl 0990.35054 Commun. Math. Phys. 225, No. 3, 551-571 (2002). MSC: 35K30 35B40 35K65 35K55 76A20 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{G. Toscani}, Commun. Math. Phys. 225, No. 3, 551--571 (2002; Zbl 0990.35054) Full Text: DOI
Carrillo, J. A.; Jüngel, A.; Markowich, P. A.; Toscani, G.; Unterreiter, A. Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities. (English) Zbl 0984.35027 Monatsh. Math. 133, No. 1, 1-82 (2001). Reviewer: Reinhard Illner (Victoria) MSC: 35B40 35K65 35Q35 35R45 35K55 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Monatsh. Math. 133, No. 1, 1--82 (2001; Zbl 0984.35027) Full Text: DOI
Carrillo, J. A.; Toscani, G. Asymptotic \(L^1\)-decay of solutions of the porous medium equation to self-similarity. (English) Zbl 0963.35098 Indiana Univ. Math. J. 49, No. 1, 113-142 (2000). Reviewer: Dian K.Palagachev (Bari) MSC: 35K65 35B40 76S05 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{G. Toscani}, Indiana Univ. Math. J. 49, No. 1, 113--142 (2000; Zbl 0963.35098) Full Text: DOI
Carrillo, J. A.; Markowich, P. A.; Unterreiter, A. Large-time asymptotics of porous-medium type equations. (English) Zbl 1158.35323 Kenmochi, N. (ed.), Proceedings of the international conference on free boundary problems: theory and applications, Chiba, Japan, November 7–13, 1999. I. Tokyo: Gakkōtosho (ISBN 4-7625-0422-X/hbk). GAKUTO Int. Ser., Math. Sci. Appl. 13, 24-36 (2000). MSC: 35B40 35K57 35Q35 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., GAKUTO Int. Ser., Math. Sci. Appl. 13, 24--36 (2000; Zbl 1158.35323)
Bonilla, L. L.; Carrillo, J. A.; Soler, J. Asymptotic behavior of an initial-boundary value problem for the Vlasov-Poisson-Fokker-Planck system. (English) Zbl 0888.35018 SIAM J. Appl. Math. 57, No. 5, 1343-1372 (1997). MSC: 35B40 76X05 82D10 85A05 PDFBibTeX XMLCite \textit{L. L. Bonilla} et al., SIAM J. Appl. Math. 57, No. 5, 1343--1372 (1997; Zbl 0888.35018) Full Text: DOI
Carrillo, José A.; Soler, Juan; Vázquez, Juan Luis Asymptotic behaviour and selfsimilarity for the three dimensional Vlasov-Poisson-Fokker-Planck system. (English) Zbl 0873.35066 J. Funct. Anal. 141, No. 1, 99-132 (1996). MSC: 35Q35 82C31 35B40 78A35 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Funct. Anal. 141, No. 1, 99--132 (1996; Zbl 0873.35066) Full Text: DOI
Bonilla, L. L.; Carrillo, J. A.; Soler, J. Asymptotic behaviour of the Vlasov-Poisson-Fokker-Planck system in bounded domains. (English) Zbl 0900.35316 Z. Angew. Math. Mech. 76, Suppl. 2, 485-486 (1996). MSC: 35Q40 81V55 35B40 PDFBibTeX XMLCite \textit{L. L. Bonilla} et al., Z. Angew. Math. Mech. 76, 485--486 (1996; Zbl 0900.35316)
Carrillo, José A.; Soler, Juan; Vázquez, Juan Luis Asymptotic behaviour for the frictionless Vlasov-Poisson-Fokker-Planck system. (English. Abridged French version) Zbl 0836.35128 C. R. Acad. Sci., Paris, Sér. I 321, No. 9, 1195-1200 (1995). MSC: 35Q35 35B40 76W05 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., C. R. Acad. Sci., Paris, Sér. I 321, No. 9, 1195--1200 (1995; Zbl 0836.35128)