Rosenzweig, Matthew; Staffilani, Gigliola Global solutions of aggregation equations and other flows with random diffusion. (English) Zbl 1509.35242 Probab. Theory Relat. Fields 185, No. 3-4, 1219-1262 (2023). MSC: 35Q35 35Q86 35Q92 76R50 76U65 86A05 92C17 35R60 60H50 35B44 35B65 35A01 PDFBibTeX XMLCite \textit{M. Rosenzweig} and \textit{G. Staffilani}, Probab. Theory Relat. Fields 185, No. 3--4, 1219--1262 (2023; Zbl 1509.35242) Full Text: DOI arXiv
Dao, Nguyen Anh On the existence of solutions to a general mean field equation of nonlinear diffusion with the Newtonian potential pressure. (English) Zbl 1504.26033 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 63, 16 p. (2023). MSC: 26D10 46E35 35A23 PDFBibTeX XMLCite \textit{N. A. Dao}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 63, 16 p. (2023; Zbl 1504.26033) Full Text: DOI
Hmidi, Taoufik; Li, Dong Aggregation equation and collapse to singular measure. (English) Zbl 1522.35153 Ammari, Kaïs (ed.), Research in PDEs and related fields, The 2019 spring school, Sidi Bel Abbès, Algeria, April 8–10, 2019. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 123-149 (2022). MSC: 35F25 35B40 35R09 PDFBibTeX XMLCite \textit{T. Hmidi} and \textit{D. Li}, in: Research in PDEs and related fields, The 2019 spring school, Sidi Bel Abbès, Algeria, April 8--10, 2019. Cham: Birkhäuser. 123--149 (2022; Zbl 1522.35153) Full Text: DOI
Carrillo, José A.; Gómez-Castro, David; Vázquez, Juan Luis A fast regularisation of a Newtonian vortex equation. (English) Zbl 1510.35180 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 3, 705-747 (2022). MSC: 35L65 35D40 65M25 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 3, 705--747 (2022; Zbl 1510.35180) Full Text: DOI arXiv
Chen, Li; Holzinger, Alexandra; Jüngel, Ansgar; Zamponi, Nicola Analysis and mean-field derivation of a porous-medium equation with fractional diffusion. (English) Zbl 1502.60102 Commun. Partial Differ. Equations 47, No. 11, 2217-2269 (2022). MSC: 60H15 60H30 35K65 35R11 PDFBibTeX XMLCite \textit{L. Chen} et al., Commun. Partial Differ. Equations 47, No. 11, 2217--2269 (2022; Zbl 1502.60102) Full Text: DOI arXiv
Fagioli, Simone; Tse, Oliver On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility. (English) Zbl 1491.35383 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112904, 35 p. (2022). MSC: 35Q49 35A01 35A02 35A15 35A35 35D30 45K05 65M75 35R09 PDFBibTeX XMLCite \textit{S. Fagioli} and \textit{O. Tse}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 221, Article ID 112904, 35 p. (2022; Zbl 1491.35383) Full Text: DOI arXiv
Carrillo, J. A.; Gómez-Castro, D.; Vázquez, J. L. Vortex formation for a non-local interaction model with Newtonian repulsion and superlinear mobility. (English) Zbl 1484.35283 Adv. Nonlinear Anal. 11, 937-967 (2022). MSC: 35L65 35L60 35L45 35L67 35D40 65M25 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Adv. Nonlinear Anal. 11, 937--967 (2022; Zbl 1484.35283) Full Text: DOI arXiv
Rosenzweig, Matthew Mean-field convergence of point vortices to the incompressible Euler equation with vorticity in \(L^\infty\). (English) Zbl 1509.35200 Arch. Ration. Mech. Anal. 243, No. 3, 1361-1431 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q31 82C22 76B03 76B47 35D30 35A01 PDFBibTeX XMLCite \textit{M. Rosenzweig}, Arch. Ration. Mech. Anal. 243, No. 3, 1361--1431 (2022; Zbl 1509.35200) Full Text: DOI arXiv
Daus, Esther; Gualdani, Maria Pia; Xu, Jingjing; Zamponi, Nicola; Zhang, Xinyu Non-local porous media equations with fractional time derivative. (English) Zbl 1471.35295 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 211, Article ID 112486, 35 p. (2021). MSC: 35R11 35A35 35Q35 76S05 PDFBibTeX XMLCite \textit{E. Daus} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 211, Article ID 112486, 35 p. (2021; Zbl 1471.35295) Full Text: DOI arXiv
Guardia, Daniel Balagué; Barbaro, Alethea; Carrillo, Jose A.; Volkin, Robert Analysis of spherical shell solutions for the radially symmetric aggregation equation. (English) Zbl 1472.35400 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2628-2657 (2020). Reviewer: Andrea Tellini (Madrid) MSC: 35Q92 35F25 35Q70 74K25 92C17 PDFBibTeX XMLCite \textit{D. B. Guardia} et al., SIAM J. Appl. Dyn. Syst. 19, No. 4, 2628--2657 (2020; Zbl 1472.35400) Full Text: DOI
Caffarelli, Luis; Gualdani, Maria; Zamponi, Nicola Existence of weak solutions to a continuity equation with space time nonlocal Darcy law. (English) Zbl 1459.35233 Commun. Partial Differ. Equations 45, No. 12, 1799-1819 (2020). MSC: 35K45 35K59 35R11 35D30 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Commun. Partial Differ. Equations 45, No. 12, 1799--1819 (2020; Zbl 1459.35233) Full Text: DOI arXiv
Serfaty, Sylvia [Duerinckx, Mitia] Mean field limit for Coulomb-type flows. (English) Zbl 1475.35341 Duke Math. J. 169, No. 15, 2887-2935 (2020). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35Q82 35Q83 82C22 82D10 81V70 60J65 76B47 35Q31 PDFBibTeX XMLCite \textit{S. Serfaty}, Duke Math. J. 169, No. 15, 2887--2935 (2020; Zbl 1475.35341) Full Text: DOI arXiv Euclid
Cancès, Clément; Gallouët, Thomas O.; Todeschi, Gabriele A variational finite volume scheme for Wasserstein gradient flows. (English) Zbl 1452.49019 Numer. Math. 146, No. 3, 437-480 (2020). Reviewer: Sorin-Mihai Grad (Wien) MSC: 49M29 35K65 65M08 65M12 PDFBibTeX XMLCite \textit{C. Cancès} et al., Numer. Math. 146, No. 3, 437--480 (2020; Zbl 1452.49019) Full Text: DOI arXiv
Segatti, Antonio; Vázquez, Juan Luis On a fractional thin film equation. (English) Zbl 1437.35429 Adv. Nonlinear Anal. 9, 1516-1558 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35K55 35R11 35C06 35D30 35Q35 PDFBibTeX XMLCite \textit{A. Segatti} and \textit{J. L. Vázquez}, Adv. Nonlinear Anal. 9, 1516--1558 (2020; Zbl 1437.35429) Full Text: DOI arXiv
Craig, Katy; Topaloglu, Ihsan Aggregation-diffusion to constrained interaction: minimizers & gradient flows in the slow diffusion limit. (English) Zbl 1436.49015 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 2, 239-279 (2020). MSC: 49J45 82B21 82B05 35R09 45K05 PDFBibTeX XMLCite \textit{K. Craig} and \textit{I. Topaloglu}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 2, 239--279 (2020; Zbl 1436.49015) Full Text: DOI arXiv
Garroni, A.; Van Meurs, P.; Peletier, M. A.; Scardia, L. Convergence and non-convergence of many-particle evolutions with multiple signs. (English) Zbl 1434.82082 Arch. Ration. Mech. Anal. 235, No. 1, 3-49 (2020). MSC: 82D20 82C22 35B44 35B45 PDFBibTeX XMLCite \textit{A. Garroni} et al., Arch. Ration. Mech. Anal. 235, No. 1, 3--49 (2020; Zbl 1434.82082) Full Text: DOI arXiv
Daus, Esther S.; Gualdani, Maria; Zamponi, Nicola Longtime behavior and weak-strong uniqueness for a nonlocal porous media equation. (English) Zbl 1427.35113 J. Differ. Equations 268, No. 4, 1820-1839 (2020). MSC: 35K55 35K65 35Q35 35R11 76S05 PDFBibTeX XMLCite \textit{E. S. Daus} et al., J. Differ. Equations 268, No. 4, 1820--1839 (2020; Zbl 1427.35113) Full Text: DOI arXiv
Berman, Robert J. Statistical mechanics of interpolation nodes, pluripotential theory and complex geometry. (English) Zbl 1452.32040 Ann. Pol. Math. 123, Part 1, 71-153 (2019). Reviewer: Jakob Hultgren (Washington) MSC: 32U35 32W20 60G55 60F10 PDFBibTeX XMLCite \textit{R. J. Berman}, Ann. Pol. Math. 123, Part 1, 71--153 (2019; Zbl 1452.32040) Full Text: DOI arXiv
Hmidi, Taoufik; Li, Dong Dynamics of one-fold symmetric patches for the aggregation equation and collapse to singular measure. (English) Zbl 1433.35422 Anal. PDE 12, No. 8, 2003-2065 (2019). MSC: 35Q92 35B44 35B40 35A01 35A02 92D25 76B47 PDFBibTeX XMLCite \textit{T. Hmidi} and \textit{D. Li}, Anal. PDE 12, No. 8, 2003--2065 (2019; Zbl 1433.35422) Full Text: DOI arXiv
van Meurs, Patrick; Morandotti, Marco Discrete-to-continuum limits of particles with an annihilation rule. (English) Zbl 1428.82041 SIAM J. Appl. Math. 79, No. 5, 1940-1966 (2019). MSC: 82C22 82C21 35A15 74G10 PDFBibTeX XMLCite \textit{P. van Meurs} and \textit{M. Morandotti}, SIAM J. Appl. Math. 79, No. 5, 1940--1966 (2019; Zbl 1428.82041) 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
Carrillo, José Antonio; Craig, Katy; Patacchini, Francesco S. A blob method for diffusion. (English) Zbl 1442.35324 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 53, 53 p. (2019). MSC: 35Q35 35Q82 35Q84 35Q92 65M12 82C22 35K05 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 53, 53 p. (2019; Zbl 1442.35324) Full Text: DOI arXiv
Nguyen, Quoc-Hung; Vázquez, Juan Luis Porous medium equation with nonlocal pressure in a bounded domain. (English) Zbl 1409.35224 Commun. Partial Differ. Equations 43, No. 10, 1502-1539 (2018). MSC: 35R11 35K61 35K65 35Q35 76S05 PDFBibTeX XMLCite \textit{Q.-H. Nguyen} and \textit{J. L. Vázquez}, Commun. Partial Differ. Equations 43, No. 10, 1502--1539 (2018; Zbl 1409.35224) Full Text: DOI arXiv
Duerinckx, Mitia; Fischer, Julian Well-posedness for mean-field evolutions arising in superconductivity. (English) Zbl 1393.35230 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 5, 1267-1319 (2018). MSC: 35Q56 35Q35 82D55 35B65 35A02 76B47 PDFBibTeX XMLCite \textit{M. Duerinckx} and \textit{J. Fischer}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 5, 1267--1319 (2018; Zbl 1393.35230) Full Text: DOI arXiv
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
Lee, Paul W. Y. A Harnack inequality for the Jordan-Kinderlehrer-Otto scheme. (English) Zbl 1392.35049 J. Evol. Equ. 18, No. 1, 143-152 (2018). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B45 35B65 35K05 49K20 49N60 58J35 PDFBibTeX XMLCite \textit{P. W. Y. Lee}, J. Evol. Equ. 18, No. 1, 143--152 (2018; Zbl 1392.35049) Full Text: DOI
Craig, Katy; Kim, Inwon; Yao, Yao Congested aggregation via Newtonian interaction. (English) Zbl 1384.35136 Arch. Ration. Mech. Anal. 227, No. 1, 1-67 (2018). MSC: 35Q92 35B44 92C17 35R35 35D40 PDFBibTeX XMLCite \textit{K. Craig} et al., Arch. Ration. Mech. Anal. 227, No. 1, 1--67 (2018; Zbl 1384.35136) Full Text: DOI arXiv
Lisini, Stefano; Mainini, Edoardo; Segatti, Antonio A gradient flow approach to the porous medium equation with fractional pressure. (English) Zbl 1384.35095 Arch. Ration. Mech. Anal. 227, No. 2, 567-606 (2018). MSC: 35Q35 76S05 35R11 35B65 PDFBibTeX XMLCite \textit{S. Lisini} et al., Arch. Ration. Mech. Anal. 227, No. 2, 567--606 (2018; Zbl 1384.35095) Full Text: DOI arXiv
Vázquez, Juan Luis The mathematical theories of diffusion: nonlinear and fractional diffusion. (English) Zbl 1492.35151 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; Florence: Fondazione CIME. Lect. Notes Math. 2186, 205-278 (2017). MSC: 35K57 35R11 PDFBibTeX XMLCite \textit{J. L. Vázquez}, Lect. Notes Math. 2186, 205--278 (2017; Zbl 1492.35151) Full Text: DOI arXiv
Cancès, Clément; Guichard, Cindy Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure. (English) Zbl 1382.65267 Found. Comput. Math. 17, No. 6, 1525-1584 (2017). MSC: 65M08 65M12 35K65 PDFBibTeX XMLCite \textit{C. Cancès} and \textit{C. Guichard}, Found. Comput. Math. 17, No. 6, 1525--1584 (2017; Zbl 1382.65267) Full Text: DOI arXiv
Cancès, Clément; Gallouët, Thomas O.; Monsaingeon, Léonard Incompressible immiscible multiphase flows in porous media: a variational approach. (English) Zbl 1370.35230 Anal. PDE 10, No. 8, 1845-1876 (2017). MSC: 35Q35 35K65 35A15 49K20 76S05 76Txx PDFBibTeX XMLCite \textit{C. Cancès} et al., Anal. PDE 10, No. 8, 1845--1876 (2017; Zbl 1370.35230) Full Text: DOI arXiv
Serfaty, Sylvia Mean field limits of the Gross-Pitaevskii and parabolic Ginzburg-Landau equations. (English) Zbl 1406.35377 J. Am. Math. Soc. 30, No. 3, 713-768 (2017). MSC: 35Q56 35K55 35Q55 35Q31 35Q35 PDFBibTeX XMLCite \textit{S. Serfaty}, J. Am. Math. Soc. 30, No. 3, 713--768 (2017; Zbl 1406.35377) Full Text: DOI arXiv
Serfaty, Sylvia Mean field limits for Ginzburg-Landau vortices. (English) Zbl 1362.35292 Sémin. Laurent Schwartz, EDP Appl. 2015-2016, Exp. No. 3, 15 p. (2016). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q56 35B40 35Q55 35Q31 35B44 35K55 PDFBibTeX XMLCite \textit{S. Serfaty}, Sémin. Laurent Schwartz, EDP Appl. 2015--2016, Exp. No. 3, 15 p. (2016; Zbl 1362.35292) Full Text: DOI Numdam
Bertozzi, A.; Garnett, J.; Laurent, T.; Verdera, J. The regularity of the boundary of a multidimensional aggregation patch. (English) Zbl 1355.35110 SIAM J. Math. Anal. 48, No. 6, 3789-3819 (2016). MSC: 35K59 35B07 35B33 35B44 35Q53 35Q92 PDFBibTeX XMLCite \textit{A. Bertozzi} et al., SIAM J. Math. Anal. 48, No. 6, 3789--3819 (2016; Zbl 1355.35110) Full Text: DOI arXiv
Duerinckx, Mitia Mean-field limits for some Riesz interaction gradient flows. (English) Zbl 1348.82050 SIAM J. Math. Anal. 48, No. 3, 2269-2300 (2016). Reviewer: Max Fathi (Berkeley) MSC: 82C05 82C22 35K55 35R11 PDFBibTeX XMLCite \textit{M. Duerinckx}, SIAM J. Math. Anal. 48, No. 3, 2269--2300 (2016; Zbl 1348.82050) Full Text: DOI arXiv
Craig, Katy; Bertozzi, Andrea L. A blob method for the aggregation equation. (English) Zbl 1339.35235 Math. Comput. 85, No. 300, 1681-1717 (2016). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q82 65M15 82C22 76M28 PDFBibTeX XMLCite \textit{K. Craig} and \textit{A. L. Bertozzi}, Math. Comput. 85, No. 300, 1681--1717 (2016; Zbl 1339.35235) Full Text: DOI arXiv
Craig, Katy; Topaloglu, Ihsan Convergence of regularized nonlocal interaction energies. (English) Zbl 1334.49040 SIAM J. Math. Anal. 48, No. 1, 34-60 (2016). MSC: 49J45 35R09 45K05 82B21 82B05 PDFBibTeX XMLCite \textit{K. Craig} and \textit{I. Topaloglu}, SIAM J. Math. Anal. 48, No. 1, 34--60 (2016; Zbl 1334.49040) 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
Laurençot, Philippe; Matioc, Bogdan-Vasile A thin film approximation of the Muskat problem with gravity and capillary forces. (English) Zbl 1307.35137 J. Math. Soc. Japan 66, No. 4, 1043-1071 (2014). MSC: 35K45 35K65 35K58 47J30 35Q35 76A20 PDFBibTeX XMLCite \textit{P. Laurençot} and \textit{B.-V. Matioc}, J. Math. Soc. Japan 66, No. 4, 1043--1071 (2014; Zbl 1307.35137) Full Text: DOI arXiv Euclid
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
Kurzke, Matthias; Spirn, Daniel Vortex liquids and the Ginzburg-Landau equation. (English) Zbl 1300.35136 Forum Math. Sigma 2, Paper No. e11, 63 p. (2014). MSC: 35Q56 35B40 35K51 PDFBibTeX XMLCite \textit{M. Kurzke} and \textit{D. Spirn}, Forum Math. Sigma 2, Paper No. e11, 63 p. (2014; Zbl 1300.35136) Full Text: DOI arXiv
Serfaty, Sylvia; Vázquez, Juan Luis A mean field equation as limit of nonlinear diffusions with fractional Laplacian operators. (English) Zbl 1290.35316 Calc. Var. Partial Differ. Equ. 49, No. 3-4, 1091-1120 (2014). MSC: 35R11 35K55 35K65 76S05 PDFBibTeX XMLCite \textit{S. Serfaty} and \textit{J. L. Vázquez}, Calc. Var. Partial Differ. Equ. 49, No. 3--4, 1091--1120 (2014; Zbl 1290.35316) Full Text: DOI arXiv Backlinks: MO
Vázquez, Juan-Luis Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators. (English) Zbl 1290.26010 Discrete Contin. Dyn. Syst., Ser. S 7, No. 4, 857-885 (2014). MSC: 26A33 35K55 35K65 35S10 PDFBibTeX XMLCite \textit{J.-L. Vázquez}, Discrete Contin. Dyn. Syst., Ser. S 7, No. 4, 857--885 (2014; Zbl 1290.26010) 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
Liero, Matthias; Mielke, Alexander Gradient structures and geodesic convexity for reaction-diffusion systems. (English) Zbl 1292.35149 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 2005, 20120346, 28 p. (2013). MSC: 35K57 35K51 35K59 PDFBibTeX XMLCite \textit{M. Liero} and \textit{A. Mielke}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 2005, 20120346, 28 p. (2013; Zbl 1292.35149) Full Text: DOI
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
Blanchet, Adrien; Laurençot, Philippe The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in \(\mathbb R^d, d\geq 3\). (English) Zbl 1282.35202 Commun. Partial Differ. Equations 38, No. 4-6, 658-686 (2013). Reviewer: Gabriela Marinoschi (Bucharest) MSC: 35K65 47J30 35Q92 35B33 35K45 92C17 35B44 PDFBibTeX XMLCite \textit{A. Blanchet} and \textit{P. Laurençot}, Commun. Partial Differ. Equations 38, No. 4--6, 658--686 (2013; Zbl 1282.35202) Full Text: DOI arXiv
Laurençot, Philippe; Matioc, Bogdan-Vasile A gradient flow approach to a thin film approximation of the Muskat problem. (English) Zbl 1264.35129 Calc. Var. Partial Differ. Equ. 47, No. 1-2, 319-341 (2013). MSC: 35K65 35K45 47J30 35Q35 PDFBibTeX XMLCite \textit{P. Laurençot} and \textit{B.-V. Matioc}, Calc. Var. Partial Differ. Equ. 47, No. 1--2, 319--341 (2013; Zbl 1264.35129) Full Text: DOI arXiv
Mainini, E. A description of transport cost for signed measures. (English. Russian original) Zbl 1256.49057 J. Math. Sci., New York 181, No. 6, 837-855 (2012); translation from Zap. Nauchn. Semin. POMI 390, 147-181 (2011). MSC: 49Q20 PDFBibTeX XMLCite \textit{E. Mainini}, J. Math. Sci., New York 181, No. 6, 837--855 (2012; Zbl 1256.49057); translation from Zap. Nauchn. Semin. POMI 390, 147--181 (2011) Full Text: DOI
Mainini, Edoardo Well-posedness for a mean field model of Ginzburg-Landau vortices with opposite degrees. (English) Zbl 1251.35157 NoDEA, Nonlinear Differ. Equ. Appl. 19, No. 2, 133-158 (2012). MSC: 35Q56 35Q35 37C10 49K20 PDFBibTeX XMLCite \textit{E. Mainini}, NoDEA, Nonlinear Differ. Equ. Appl. 19, No. 2, 133--158 (2012; Zbl 1251.35157) Full Text: DOI
Bertozzi, Andrea L.; Laurent, Thomas; Léger, Flavien Aggregation and spreading via the Newtonian potential: the dynamics of patch solutions. (English) Zbl 1241.35153 Math. Models Methods Appl. Sci. 22, Suppl., 1140005, 39 p. (2012). MSC: 35Q35 35Q70 76B03 35B09 35B40 PDFBibTeX XMLCite \textit{A. L. Bertozzi} et al., Math. Models Methods Appl. Sci. 22, 1140005, 39 p. (2012; Zbl 1241.35153) Full Text: DOI
Caffarelli, Luis; Vazquez, Juan Luis Nonlinear porous medium flow with fractional potential pressure. (English) Zbl 1264.76105 Arch. Ration. Mech. Anal. 202, No. 2, 537-565 (2011). MSC: 76S05 35Q35 PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{J. L. Vazquez}, Arch. Ration. Mech. Anal. 202, No. 2, 537--565 (2011; Zbl 1264.76105) Full Text: DOI arXiv
Chemetov, N. V.; Arruda, L. K. \(L_{p}\)-solvability of a full superconductive model. (English) Zbl 1252.35262 Nonlinear Anal., Real World Appl. 12, No. 4, 2118-2129 (2011). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35Q82 82D55 PDFBibTeX XMLCite \textit{N. V. Chemetov} and \textit{L. K. Arruda}, Nonlinear Anal., Real World Appl. 12, No. 4, 2118--2129 (2011; Zbl 1252.35262) Full Text: DOI
Ambrosio, Luigi; Mainini, Edoardo; Serfaty, Sylvia Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices. (English) Zbl 1233.49022 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 2, 217-246 (2011). MSC: 49Q20 35A15 93E20 35Q60 82D55 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 2, 217--246 (2011; Zbl 1233.49022) Full Text: DOI
Kurzke, Matthias; Spirn, Daniel \(\Gamma \)-stability and vortex motion in type II superconductors. (English) Zbl 1213.82109 Commun. Partial Differ. Equations 36, No. 1-3, 256-292 (2011). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 82D55 35B40 35Q56 PDFBibTeX XMLCite \textit{M. Kurzke} and \textit{D. Spirn}, Commun. Partial Differ. Equations 36, No. 1--3, 256--292 (2011; Zbl 1213.82109) Full Text: DOI
Cannone, Marco; Hajj, Ahmad El; Monneau, Régis; Ribaud, Francis Global existence for a system of nonlinear and non-local transport equations describing the dynamics of dislocation densities. (English) Zbl 1193.35218 Arch. Ration. Mech. Anal. 196, No. 1, 71-96 (2010). MSC: 35Q74 74A60 74E15 35B45 PDFBibTeX XMLCite \textit{M. Cannone} et al., Arch. Ration. Mech. Anal. 196, No. 1, 71--96 (2010; Zbl 1193.35218) Full Text: DOI arXiv