Dávila, Juan; del Pino, Manuel; Dolbeault, Jean; Musso, Monica; Wei, Juncheng Existence and stability of infinite time blow-up in the Keller-Segel system. (English) Zbl 07892812 Arch. Ration. Mech. Anal. 248, No. 4, Paper No. 61, 154 p. (2024). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K55 35B40 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Glogić, Irfan; Schörkhuber, Birgit Stable singularity formation for the Keller-Segel system in three dimensions. (English) Zbl 1532.35012 Arch. Ration. Mech. Anal. 248, No. 1, Paper No. 4, 40 p. (2024); correction ibid. 248, No. 4, Paper No. 57, 2 p. (2024). MSC: 35A21 35B44 35C06 35K45 35K59 92C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
van Meurs, Patrick; Peletier, Mark A.; Požár, Norbert Discrete-to-continuum convergence of charged particles in 1D with annihilation. (English) Zbl 1502.35160 Arch. Ration. Mech. Anal. 246, No. 1, 241-297 (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q60 78A35 34A12 35A01 35A02 35B30 35F21 49L25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah Interior electroneutrality in Nernst-Planck-Navier-Stokes systems. (English) Zbl 1484.35318 Arch. Ration. Mech. Anal. 242, No. 2, 1091-1118 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q35 76D05 35Q92 92C17 35Q60 78A57 35J05 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Constantin, Peter; Ignatova, Mihaela; Lee, Fizay-Noah Nernst-Planck-Navier-Stokes systems far from equilibrium. (English) Zbl 1471.35230 Arch. Ration. Mech. Anal. 240, No. 2, 1147-1168 (2021). Reviewer: Mikhail Turbin (Voronezh) MSC: 35Q35 35Q60 76D05 76D07 76X05 78A30 35J05 82D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dao, Nguyen Anh; Díaz, Jesus Ildefonso Energy and large time estimates for nonlinear porous medium flow with nonlocal pressure in \(\mathbb{R}^N\). (English) Zbl 1447.35262 Arch. Ration. Mech. Anal. 238, No. 1, 299-345 (2020). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q35 76S05 76N10 35R11 26A33 35D30 35R35 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Hsieh, Chia-Yu; Yu, Yong Debye layer in Poisson-Boltzmann model with isolated singularities. (English) Zbl 1435.92098 Arch. Ration. Mech. Anal. 236, No. 1, 289-327 (2020). MSC: 92E99 35J60 35B40 78A35 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Stan, Diana; del Teso, Félix; Vázquez, Juan Luis Existence of weak solutions for a general porous medium equation with nonlocal pressure. (English) Zbl 1437.35430 Arch. Ration. Mech. Anal. 233, No. 1, 451-496 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35K55 35Q35 35R11 35D30 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Constantin, Peter; Ignatova, Mihaela On the Nernst-Planck-Navier-Stokes system. (English) Zbl 1472.82037 Arch. Ration. Mech. Anal. 232, No. 3, 1379-1428 (2019). Reviewer: A. C. D. van Enter (Groningen) MSC: 82D15 35Q82 76X05 35A01 35B35 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Siming; Tadmor, Eitan Suppressing chemotactic blow-up through a fast splitting scenario on the plane. (English) Zbl 1408.35066 Arch. Ration. Mech. Anal. 232, No. 2, 951-986 (2019). MSC: 35K35 92C17 35B44 35B65 35Q92 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernández, Giani Egaña; Mischler, Stéphane Uniqueness and long time asymptotic for the Keller-Segel equation: the parabolic-elliptic case. (English) Zbl 1334.35358 Arch. Ration. Mech. Anal. 220, No. 3, 1159-1194 (2016). MSC: 35Q92 92C17 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biler, Piotr; Imbert, Cyril; Karch, Grzegorz The nonlocal porous medium equation: Barenblatt profiles and other weak solutions. (English) Zbl 1308.35197 Arch. Ration. Mech. Anal. 215, No. 2, 497-529 (2015). MSC: 35Q35 76S05 35B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL Backlinks: MO
Wu, Hao; Lin, Tai-Chia; Liu, Chun Diffusion limit of kinetic equations for multiple species charged particles. (English) Zbl 1308.35311 Arch. Ration. Mech. Anal. 215, No. 2, 419-441 (2015). MSC: 35Q84 35Q83 82C70 82C31 35D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bedrossian, Jacob; Masmoudi, Nader Existence, uniqueness and Lipschitz dependence for Patlak-Keller-Segel and Navier-Stokes in \(\mathbb R^2\) with measure-valued initial data. (English) Zbl 1347.35222 Arch. Ration. Mech. Anal. 214, No. 3, 717-801 (2014). Reviewer: Thomas Hagen (Memphis) MSC: 35Q92 92C17 35Q30 35A01 35A02 35R06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alibaud, Nathaël; Cifani, Simone; Jakobsen, Espen R. Optimal continuous dependence estimates for fractional degenerate parabolic equations. (English) Zbl 1304.35742 Arch. Ration. Mech. Anal. 213, No. 3, 705-762 (2014). Reviewer: Juan J. Trujillo (La Laguna) MSC: 35R11 35K65 35K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
López-Gómez, Julián; Nagai, Toshitaka; Yamada, Tetsuya The basin of attraction of the steady-states for a chemotaxis model in \(\mathbb R^2\) with critical mass. (English) Zbl 1320.35173 Arch. Ration. Mech. Anal. 207, No. 1, 159-184 (2013). MSC: 35K59 35B09 35B40 35B41 35M31 35Q92 92C17 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giga, Yoshikazu; Mizoguchi, Noriko; Senba, Takasi Asymptotic behavior of type I blowup solutions to a parabolic-elliptic system of drift-diffusion type. (English) Zbl 1270.35131 Arch. Ration. Mech. Anal. 201, No. 2, 549-573 (2011). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B44 35B05 35K15 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Droniou, Jérôme; Imbert, Cyril Fractal first-order partial differential equations. (English) Zbl 1111.35144 Arch. Ration. Mech. Anal. 182, No. 2, 299-331 (2006). Reviewer: Fabio Bagagiolo (Trento) MSC: 35S10 49L25 35F25 35L65 × Cite Format Result Cite Review PDF Full Text: DOI HAL
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 × Cite Format Result Cite Review PDF Full Text: DOI