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, J. A.; Delgadino, M. G.; Frank, R. L.; Lewin, M. Fast diffusion leads to partial mass concentration in Keller-Segel type stationary solutions. (English) Zbl 1495.35108 Math. Models Methods Appl. Sci. 32, No. 4, 831-850 (2022). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K67 26D15 47J20 92C17 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Math. Models Methods Appl. Sci. 32, No. 4, 831--850 (2022; Zbl 1495.35108) 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
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, José A.; Fjordholm, Ulrik S.; Solem, Susanne A second-order numerical method for the aggregation equations. (English) Zbl 1452.65186 Math. Comput. 90, No. 327, 103-139 (2021). Reviewer: Victor Michel-Dansac (Strasbourg) MSC: 65M08 65M12 35B44 35D30 35R09 35R06 92C17 35Q92 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Math. Comput. 90, No. 327, 103--139 (2021; Zbl 1452.65186) Full Text: DOI arXiv Link
Carrillo, José A.; Wróblewska-Kamińska, Aneta; Zatorska, Ewelina Pressureless Euler with nonlocal interactions as a singular limit of degenerate Navier-Stokes system. (English) Zbl 1462.35240 J. Math. Anal. Appl. 492, No. 1, Article ID 124400, 27 p. (2020). MSC: 35Q30 35Q31 76N06 35D30 35D35 35B41 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Math. Anal. Appl. 492, No. 1, Article ID 124400, 27 p. (2020; Zbl 1462.35240) Full Text: DOI arXiv
Carrillo, José A.; Pimentel, Edgard A.; Voskanyan, Vardan K. On a mean field optimal control problem. (English) Zbl 1448.35526 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 199, Article ID 112039, 13 p. (2020). MSC: 35Q93 93C20 91A06 91A16 35Q91 35K10 35B45 35A01 35Q84 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 199, Article ID 112039, 13 p. (2020; Zbl 1448.35526) Full Text: DOI arXiv
Carrillo, José A.; Hopf, Katharina; Wolfram, Marie-Therese Numerical study of Bose-Einstein condensation in the Kaniadakis-Quarati model for bosons. (English) Zbl 1441.35235 Kinet. Relat. Models 13, No. 3, 507-529 (2020). MSC: 35Q84 35Q40 35K20 35B44 65M06 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Kinet. Relat. Models 13, No. 3, 507--529 (2020; Zbl 1441.35235) Full Text: DOI arXiv
Carrillo, José A.; Filbet, Francis; Schmidtchen, Markus Convergence of a finite volume scheme for a system of interacting species with cross-diffusion. (English) Zbl 1443.76155 Numer. Math. 145, No. 3, 473-511 (2020). MSC: 76M12 76R50 65M12 65M08 92C10 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Numer. Math. 145, No. 3, 473--511 (2020; Zbl 1443.76155) Full Text: DOI arXiv
Carrillo, José A.; Grunert, Katrin; Holden, Helge A Lipschitz metric for the Camassa-Holm equation. (English) Zbl 1442.35371 Forum Math. Sigma 8, Paper No. e27, 292 p. (2020). MSC: 35Q53 35B35 35B60 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Forum Math. Sigma 8, Paper No. e27, 292 p. (2020; Zbl 1442.35371) Full Text: DOI arXiv
Alasio, Luca; Bruna, Maria; Carrillo, José Antonio The role of a strong confining potential in a nonlinear Fokker-Planck equation. (English) Zbl 1442.35023 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 193, Article ID 111480, 28 p. (2020). Reviewer: Yulong Lu (Amherst) MSC: 35B30 35K61 35Q84 PDFBibTeX XMLCite \textit{L. Alasio} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 193, Article ID 111480, 28 p. (2020; Zbl 1442.35023) 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, José A.; Craig, Katy; Yao, Yao Aggregation-diffusion equations: dynamics, asymptotics, and singular limits. (English) Zbl 1451.76117 Bellomo, Nicola (ed.) et al., Active particles, Volume 2. Advances in theory, models, and applications. Cham: Birkhäuser. Model. Simul. Sci. Eng. Technol., 65-108 (2019). MSC: 76R50 76M99 76-02 35K57 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., in: Active particles, Volume 2. Advances in theory, models, and applications. Cham: Birkhäuser. 65--108 (2019; Zbl 1451.76117) Full Text: DOI arXiv Backlinks: MO
Carrillo, José A.; Delgadino, Matías G.; Dolbeault, Jean; Frank, Rupert L.; Hoffmann, Franca Reverse Hardy-Littlewood-Sobolev inequalities. (English. French summary) Zbl 1442.35011 J. Math. Pures Appl. (9) 132, 133-165 (2019). Reviewer: Shuangjie Peng (Wuhan) MSC: 35A23 26D15 35K55 46E35 49J40 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Math. Pures Appl. (9) 132, 133--165 (2019; Zbl 1442.35011) Full Text: DOI arXiv
Carrillo, Jose A.; Wang, Jinhuan Uniform in time \(L^{\infty }\)-estimates for nonlinear aggregation-diffusion equations. (English) Zbl 1423.35168 Acta Appl. Math. 164, 1-19 (2019). MSC: 35K51 35B33 35K55 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{J. Wang}, Acta Appl. Math. 164, 1--19 (2019; Zbl 1423.35168) 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
Carrillo, J. A.; Kolbe, N.; Lukáčová-Medvid’ová, M. A hybrid mass transport finite element method for Keller-Segel type systems. (English) Zbl 1457.65100 J. Sci. Comput. 80, No. 3, 1777-1804 (2019). MSC: 65M60 92C17 92C37 35Q92 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Sci. Comput. 80, No. 3, 1777--1804 (2019; Zbl 1457.65100) Full Text: DOI arXiv
Carrillo, José Antonio; Gwiazda, Piotr; Kropielnicka, Karolina; Marciniak-Czochra, Anna K. The escalator boxcar train method for a system of age-structured equations in the space of measures. (English) Zbl 1426.65150 SIAM J. Numer. Anal. 57, No. 4, 1842-1874 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 65M75 92D25 35R06 45K05 35R09 65M12 92D25 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., SIAM J. Numer. Anal. 57, No. 4, 1842--1874 (2019; Zbl 1426.65150) Full Text: DOI arXiv
Carrillo, J. A.; Delgadino, M. G.; Patacchini, F. S. Existence of ground states for aggregation-diffusion equations. (English) Zbl 1433.35417 Anal. Appl., Singap. 17, No. 3, 393-423 (2019). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 35A01 35A15 49J20 49S05 92C17 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Anal. Appl., Singap. 17, No. 3, 393--423 (2019; Zbl 1433.35417) Full Text: DOI arXiv
Carrillo, José A.; Choi, Young-Pil; Salem, Samir Propagation of chaos for the Vlasov-Poisson-Fokker-Planck equation with a polynomial cut-off. (English) Zbl 1417.35201 Commun. Contemp. Math. 21, No. 4, Article ID 1850039, 28 p. (2019). MSC: 35Q83 35Q84 60K35 65C35 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Commun. Contemp. Math. 21, No. 4, Article ID 1850039, 28 p. (2019; Zbl 1417.35201) Full Text: DOI arXiv
Carrillo, Jose A.; Murakawa, Hideki; Sato, Makoto; Togashi, Hideru; Trush, Olena A population dynamics model of cell-cell adhesion incorporating population pressure and density saturation. (English) Zbl 1414.92133 J. Theor. Biol. 474, 14-24 (2019). MSC: 92C37 35Q92 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Theor. Biol. 474, 14--24 (2019; Zbl 1414.92133) Full Text: DOI arXiv
Carrillo, José Antonio; Grunert, Katrin; Holden, Helge A Lipschitz metric for the Hunter-Saxton equation. (English) Zbl 1420.35305 Commun. Partial Differ. Equations 44, No. 4, 309-334 (2019). Reviewer: Jonathan Eckhardt (Loughborough) MSC: 35Q53 35B35 35B60 35D30 35R09 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Commun. Partial Differ. Equations 44, No. 4, 309--334 (2019; Zbl 1420.35305) 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
Carrillo, José A.; Choi, Young-Pil; Tse, Oliver Convergence to equilibrium in Wasserstein distance for damped Euler equations with interaction forces. (English) Zbl 1470.35267 Commun. Math. Phys. 365, No. 1, 329-361 (2019). Reviewer: Ming Mei (Montreal) MSC: 35Q31 60B05 74E20 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Commun. Math. Phys. 365, No. 1, 329--361 (2019; Zbl 1470.35267) Full Text: DOI arXiv
Carrillo, J. A.; Fagioli, S.; Santambrogio, F.; Schmidtchen, M. Splitting schemes and segregation in reaction cross-diffusion systems. (English) Zbl 1402.35147 SIAM J. Math. Anal. 50, No. 5, 5695-5718 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 35K57 35A15 47N60 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., SIAM J. Math. Anal. 50, No. 5, 5695--5718 (2018; Zbl 1402.35147) Full Text: DOI arXiv
Carrillo, José A.; Hoffmann, Franca; Mainini, Edoardo; Volzone, Bruno Ground states in the diffusion-dominated regime. (English) Zbl 1430.35122 Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 127, 28 p. (2018). Reviewer: Ahmed Youssfi (Fès) MSC: 35K55 35K65 49K20 74G65 35Q92 92C17 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 127, 28 p. (2018; Zbl 1430.35122) Full Text: DOI arXiv
Carrillo, José Antonio; Colombi, Annachiara; Scianna, Marco Adhesion and volume constraints via nonlocal interactions determine cell organisation and migration profiles. (English) Zbl 1397.92092 J. Theor. Biol. 445, 75-91 (2018). MSC: 92C17 92C37 35Q92 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Theor. Biol. 445, 75--91 (2018; Zbl 1397.92092) Full Text: DOI
Carrillo, José-Antonio; Santambrogio, Filippo \(L^\infty \) estimates for the JKO scheme in parabolic-elliptic Keller-Segel systems. (English) Zbl 1391.35197 Q. Appl. Math. 76, No. 3, 515-530 (2018). MSC: 35K55 49K20 PDFBibTeX XMLCite \textit{J.-A. Carrillo} and \textit{F. Santambrogio}, Q. Appl. Math. 76, No. 3, 515--530 (2018; Zbl 1391.35197) Full Text: DOI arXiv
Carrillo, José A.; Huang, Yanghong; Schmidtchen, Markus Zoology of a nonlocal cross-diffusion model for two species. (English) Zbl 1392.35179 SIAM J. Appl. Math. 78, No. 2, 1078-1104 (2018). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 35K55 35Q92 92D25 65N08 35C05 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., SIAM J. Appl. Math. 78, No. 2, 1078--1104 (2018; Zbl 1392.35179) 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.; Choi, Young-Pil; Mucha, Piotr B.; Peszek, Jan Sharp conditions to avoid collisions in singular Cucker-Smale interactions. (English) Zbl 1383.34069 Nonlinear Anal., Real World Appl. 37, 317-328 (2017). MSC: 34C60 82C22 92D50 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Nonlinear Anal., Real World Appl. 37, 317--328 (2017; Zbl 1383.34069) Full Text: DOI arXiv
Calvez, V.; Carrillo, J. A.; Hoffmann, F. Equilibria of homogeneous functionals in the fair-competition regime. (English) Zbl 1373.35316 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 159, 85-128 (2017). MSC: 35Q92 92C17 35C06 PDFBibTeX XMLCite \textit{V. Calvez} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 159, 85--128 (2017; Zbl 1373.35316) Full Text: DOI arXiv
Barbaro, Alethea B. T.; Cañizo, José A.; Carrillo, José A.; Degond, Pierre Phase transitions in a kinetic flocking model of Cucker-Smale type. (English) Zbl 1356.35260 Multiscale Model. Simul. 14, No. 3, 1063-1088 (2016). MSC: 35Q92 82C26 92D50 82C22 PDFBibTeX XMLCite \textit{A. B. T. Barbaro} et al., Multiscale Model. Simul. 14, No. 3, 1063--1088 (2016; Zbl 1356.35260) 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, 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, J. A.; Mancini, S.; Tran, M.-B. On the exponential convergence rate for a non-gradient Fokker-Planck equation in computational neuroscience. (English) Zbl 1386.35402 J. Elliptic Parabol. Equ. 1, No. 2, 271-279 (2015). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35Q84 35K99 82C31 82C32 92B20 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Elliptic Parabol. Equ. 1, No. 2, 271--279 (2015; Zbl 1386.35402) Full Text: DOI arXiv
Carrillo, José Antonio; Vázquez, Juan Luis Some free boundary problems involving non-local diffusion and aggregation. (English) Zbl 1353.35320 Philos. Trans. A, R. Soc. Lond. 373, No. 2050, Article ID 20140275, 16 p. (2015). MSC: 35R35 35R11 35S30 47F05 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{J. L. Vázquez}, Philos. Trans. A, R. Soc. Lond. 373, No. 2050, Article ID 20140275, 16 p. (2015; Zbl 1353.35320) Full Text: DOI arXiv
Bonaschi, Giovanni A.; Carrillo, José A.; Di Francesco, Marco; Peletier, Mark A. Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D. (English) Zbl 1316.35077 ESAIM, Control Optim. Calc. Var. 21, No. 2, 414-441 (2015). MSC: 35F25 35A02 45K05 35L65 70F45 92D25 PDFBibTeX XMLCite \textit{G. A. Bonaschi} et al., ESAIM, Control Optim. Calc. Var. 21, No. 2, 414--441 (2015; Zbl 1316.35077) Full Text: DOI arXiv
Carrillo, J. A.; Huang, Y.; Santos, M. C.; Vázquez, J. L. Exponential convergence towards stationary states for the 1D porous medium equation with fractional pressure. (English) Zbl 1307.35311 J. Differ. Equations 258, No. 3, 736-763 (2015). MSC: 35R11 35K55 35K65 26A33 76S05 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Differ. Equations 258, No. 3, 736--763 (2015; Zbl 1307.35311) Full Text: DOI arXiv
Bolley, François; Carrillo, José A. Nonlinear diffusion: geodesic convexity is equivalent to Wasserstein contraction. (English) Zbl 1404.35266 Commun. Partial Differ. Equations 39, No. 10, 1860-1869 (2014). MSC: 35K59 35R11 35B05 35K15 37D40 76S05 PDFBibTeX XMLCite \textit{F. Bolley} and \textit{J. A. Carrillo}, Commun. Partial Differ. Equations 39, No. 10, 1860--1869 (2014; Zbl 1404.35266) Full Text: DOI arXiv
Carrillo, J. A.; Gwiazda, P.; Ulikowska, A. Splitting-particle methods for structured population models: convergence and applications. (English) Zbl 1300.92072 Math. Models Methods Appl. Sci. 24, No. 11, 2171-2197 (2014). MSC: 92D25 65M12 65M75 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Math. Models Methods Appl. Sci. 24, No. 11, 2171--2197 (2014; Zbl 1300.92072) Full Text: DOI arXiv
Carrillo, José Antonio; Lisini, Stefano; Mainini, Edoardo Uniqueness for Keller-Segel-type chemotaxis models. (English) Zbl 1277.35009 Discrete Contin. Dyn. Syst. 34, No. 4, 1319-1338 (2014). MSC: 35A02 35K45 35Q92 35K59 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Discrete Contin. Dyn. Syst. 34, No. 4, 1319--1338 (2014; Zbl 1277.35009) 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
Blanchet, Adrien; Carlen, Eric A.; Carrillo, José A. Functional inequalities, thick tails and asymptotics for the critical mass Patlak-Keller-Segel model. (English) Zbl 1237.35155 J. Funct. Anal. 262, No. 5, 2142-2230 (2012). Reviewer: Gabriela Marinoschi (Bucharest) MSC: 35Q92 35B35 35B41 PDFBibTeX XMLCite \textit{A. Blanchet} et al., J. Funct. Anal. 262, No. 5, 2142--2230 (2012; Zbl 1237.35155) Full Text: DOI arXiv
Cáceres, María J.; Carrillo, José A.; Perthame, Benoît Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. (English) Zbl 1259.35198 J. Math. Neurosci. 1, Paper No. 7 (2011). MSC: 35Q84 35K60 82C31 92B20 PDFBibTeX XMLCite \textit{M. J. Cáceres} et al., J. Math. Neurosci. 1, Paper No. 7 (2011; Zbl 1259.35198) Full Text: DOI arXiv
Bolley, François; Cañizo, José A.; Carrillo, José A. Stochastic mean-field limit: non-Lipschitz forces and swarming. (English) Zbl 1273.82041 Math. Models Methods Appl. Sci. 21, No. 11, 2179-2210 (2011). Reviewer: Guanggan Chen (Chengdu) MSC: 82C22 82C40 35Q92 PDFBibTeX XMLCite \textit{F. Bolley} et al., Math. Models Methods Appl. Sci. 21, No. 11, 2179--2210 (2011; Zbl 1273.82041) Full Text: DOI arXiv
Carrillo, José Antonio; Cordier, Stéphane; Mancini, Simona A decision-making Fokker-Planck model in computational neuroscience. (English) Zbl 1232.92033 J. Math. Biol. 63, No. 5, 801-830 (2011). MSC: 92C20 92-08 35Q84 60H30 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., J. Math. Biol. 63, No. 5, 801--830 (2011; Zbl 1232.92033) Full Text: DOI
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
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
Ben Abdallah, N.; Cáceres, M. J.; Carrillo, J. A.; Vecil, F. A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs. (English) Zbl 1175.82072 J. Comput. Phys. 228, No. 17, 6553-6571 (2009). MSC: 82D37 82D80 35Q20 82C80 PDFBibTeX XMLCite \textit{N. Ben Abdallah} et al., J. Comput. Phys. 228, No. 17, 6553--6571 (2009; Zbl 1175.82072) Full Text: DOI
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
Bisi, Marzia; Carrillo, José A.; Lods, Bertrand Equilibrium solution to the inelastic Boltzmann equation driven by a particle bath. (English) Zbl 1161.82017 J. Stat. Phys. 133, No. 5, 841-870 (2008). MSC: 82C40 76P05 82C22 PDFBibTeX XMLCite \textit{M. Bisi} et al., J. Stat. Phys. 133, No. 5, 841--870 (2008; Zbl 1161.82017) Full Text: DOI arXiv
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
Carrillo, J. A.; Rosado, J.; Salvarani, F. 1D nonlinear Fokker-Planck equations for fermions and bosons. (English) Zbl 1151.35044 Appl. Math. Lett. 21, No. 2, 148-154 (2008). Reviewer: Jan Chrastina (Brno) MSC: 35K55 82C31 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Appl. Math. Lett. 21, No. 2, 148--154 (2008; Zbl 1151.35044) Full Text: DOI
Carrillo, José Antonio; Cuadrado, Sílvia; Perthame, Benoît Adaptive dynamics via Hamilton-Jacobi approach and entropy methods for a juvenile-adult model. (English) Zbl 1106.92053 Math. Biosci. 205, No. 1, 137-161 (2007). MSC: 92D15 37N25 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Math. Biosci. 205, No. 1, 137--161 (2007; Zbl 1106.92053) Full Text: DOI
Carrillo, José A.; Goudon, Thierry Stability and asymptotic analysis of a fluid-particle interaction model. (English) Zbl 1105.35088 Commun. Partial Differ. Equations 31, No. 9, 1349-1379 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35Q35 76T25 82C70 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{T. Goudon}, Commun. Partial Differ. Equations 31, No. 9, 1349--1379 (2006; Zbl 1105.35088) Full Text: DOI Link
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.; Labrunie, Simon Global solutions for the one-dimensional Vlasov-Maxwell system for laser-plasma interaction. (English) Zbl 1106.35110 Math. Models Methods Appl. Sci. 16, No. 1, 19-57 (2006). Reviewer: Rainer Picard (Dresden) MSC: 35Q60 76X05 82D10 82C40 76E25 35D05 PDFBibTeX XMLCite \textit{J. A. Carrillo} and \textit{S. Labrunie}, Math. Models Methods Appl. Sci. 16, No. 1, 19--57 (2006; Zbl 1106.35110) Full Text: DOI arXiv
Carrillo, José A.; McCann, Robert J.; Villani, Cédric Contractions in the 2-Wasserstein length space and thermalization of granular media. (English) Zbl 1082.76105 Arch. Ration. Mech. Anal. 179, No. 2, 217-263 (2006). MSC: 76T25 74E20 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Arch. Ration. Mech. Anal. 179, No. 2, 217--263 (2006; Zbl 1082.76105) Full Text: DOI
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