Lienstromberg, Christina; Velázquez, Juan J. L. Long-time asymptotics and regularity estimates for weak solutions to a doubly degenerate thin-film equation in the Taylor-Couette setting. (English) Zbl 07812521 Pure Appl. Anal. 6, No. 1, 187-236 (2024). MSC: 35B40 35K35 35K65 35Q35 76A05 76A20 PDFBibTeX XMLCite \textit{C. Lienstromberg} and \textit{J. J. L. Velázquez}, Pure Appl. Anal. 6, No. 1, 187--236 (2024; Zbl 07812521) Full Text: DOI arXiv
Nota, Alessia; Velázquez, Juan J. L. Homoenergetic solutions of the Boltzmann equation: the case of simple-shear deformations. (English) Zbl 07817654 Math. Eng. (Springfield) 5, No. 1, Paper No. 19, 25 p. (2023). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{A. Nota} and \textit{J. J. L. Velázquez}, Math. Eng. (Springfield) 5, No. 1, Paper No. 19, 25 p. (2023; Zbl 07817654) Full Text: DOI
Ferreira, Marina A.; Franco, Eugenia; Velázquez, Juan J. L. On the self-similar behavior of coagulation systems with injection. (English) Zbl 07752588 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 4, 803-861 (2023). Reviewer: Dimplekumar Chalishajar (Lexington) MSC: 45K05 45M05 PDFBibTeX XMLCite \textit{M. A. Ferreira} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 4, 803--861 (2023; Zbl 07752588) Full Text: DOI arXiv
Jang, Jin Woo; Velázquez, Juan J. L. Kinetic models for semiflexible polymers in a half-plane. (English) Zbl 1515.82195 Pure Appl. Anal. 5, No. 1, 145-212 (2023). MSC: 82D60 82C31 46N55 92C45 PDFBibTeX XMLCite \textit{J. W. Jang} and \textit{J. J. L. Velázquez}, Pure Appl. Anal. 5, No. 1, 145--212 (2023; Zbl 1515.82195) Full Text: DOI arXiv
Lienstromberg, Christina; Pernas-Castaño, Tania; Velázquez, Juan J. L. Analysis of a two-fluid Taylor-Couette flow with one non-Newtonian fluid. (English) Zbl 1490.76012 J. Nonlinear Sci. 32, No. 2, Paper No. 24, 55 p. (2022). MSC: 76A05 76A20 35B40 35Q35 35K35 35K65 PDFBibTeX XMLCite \textit{C. Lienstromberg} et al., J. Nonlinear Sci. 32, No. 2, Paper No. 24, 55 p. (2022; Zbl 1490.76012) Full Text: DOI
Esentürk, Emre; Velazquez, Juan Large time behavior of exchange-driven growth. (English) Zbl 1462.34035 Discrete Contin. Dyn. Syst. 41, No. 2, 747-775 (2021). MSC: 34A33 34A12 34D05 34C05 PDFBibTeX XMLCite \textit{E. Esentürk} and \textit{J. Velazquez}, Discrete Contin. Dyn. Syst. 41, No. 2, 747--775 (2021; Zbl 1462.34035) Full Text: DOI arXiv
James, Richard D.; Nota, Alessia; Velázquez, Juan J. L. Long time asymptotics for homoenergetic solutions of the Boltzmann equation. Hyperbolic-dominated case. (English) Zbl 1440.35229 Nonlinearity 33, No. 8, 3781-3815 (2020). MSC: 35Q20 82C40 74A25 35B40 PDFBibTeX XMLCite \textit{R. D. James} et al., Nonlinearity 33, No. 8, 3781--3815 (2020; Zbl 1440.35229) Full Text: DOI arXiv
Bonacini, Marco; Niethammer, Barbara; Velázquez, Juan J. L. Solutions with peaks for a coagulation-fragmentation equation. I: Stability of the tails. (English) Zbl 1441.35044 Commun. Partial Differ. Equations 45, No. 5, 351-391 (2020). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B40 45K05 45M05 47D06 PDFBibTeX XMLCite \textit{M. Bonacini} et al., Commun. Partial Differ. Equations 45, No. 5, 351--391 (2020; Zbl 1441.35044) Full Text: DOI arXiv
Niethammer, Barbara; Nota, Alessia; Throm, Sebastian; Velázquez, Juan J. L. Self-similar asymptotic behavior for the solutions of a linear coagulation equation. (English) Zbl 1415.35049 J. Differ. Equations 266, No. 1, 653-715 (2019). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B40 45A05 47D07 35C06 PDFBibTeX XMLCite \textit{B. Niethammer} et al., J. Differ. Equations 266, No. 1, 653--715 (2019; Zbl 1415.35049) Full Text: DOI arXiv
Laurençot, Philippe; Niethammer, Barbara; Velázquez, Juan J. L. Oscillatory dynamics in Smoluchowski’s coagulation equation with diagonal kernel. (English) Zbl 1407.82039 Kinet. Relat. Models 11, No. 4, 933-952 (2018). MSC: 82C31 70F99 82C22 45M05 35R09 35B40 35Q82 35C06 PDFBibTeX XMLCite \textit{P. Laurençot} et al., Kinet. Relat. Models 11, No. 4, 933--952 (2018; Zbl 1407.82039) Full Text: DOI arXiv
Kierkels, A. H. M.; Velázquez, J. J. L. On self-similar solutions to a kinetic equation arising in weak turbulence theory for the nonlinear Schrödinger equation. (English) Zbl 1348.35237 J. Stat. Phys. 163, No. 6, 1350-1393 (2016). MSC: 35Q55 35C06 35B40 35D30 35Q20 45G05 PDFBibTeX XMLCite \textit{A. H. M. Kierkels} and \textit{J. J. L. Velázquez}, J. Stat. Phys. 163, No. 6, 1350--1393 (2016; Zbl 1348.35237) Full Text: DOI arXiv
Kierkels, A. H. M.; Velázquez, J. J. L. On the transfer of energy towards infinity in the theory of weak turbulence for the nonlinear Schrödinger equation. (English) Zbl 1331.35256 J. Stat. Phys. 159, No. 3, 668-712 (2015). Reviewer: Thomas J. Bartsch (Gießen) MSC: 35Q20 35B40 35C08 35D30 45G05 35Q55 PDFBibTeX XMLCite \textit{A. H. M. Kierkels} and \textit{J. J. L. Velázquez}, J. Stat. Phys. 159, No. 3, 668--712 (2015; Zbl 1331.35256) Full Text: DOI arXiv
Escudero, Carlos; Macià, Fabricio; Toral, Raúl; Velázquez, Juan J. L. Kinetic theory and numerical simulations of two-species coagulation. (English) Zbl 1311.35318 Kinet. Relat. Models 7, No. 2, 253-290 (2014). MSC: 35Q84 35C20 35Q20 82C22 82C80 PDFBibTeX XMLCite \textit{C. Escudero} et al., Kinet. Relat. Models 7, No. 2, 253--290 (2014; Zbl 1311.35318) Full Text: DOI arXiv
Escobedo, M.; Velázquez, J. J. L. Local well posedness for a linear coagulation equation. (English) Zbl 1316.45010 Trans. Am. Math. Soc. 365, No. 4, 1743-1808 (2013). MSC: 45K05 82C22 45M05 45G10 PDFBibTeX XMLCite \textit{M. Escobedo} and \textit{J. J. L. Velázquez}, Trans. Am. Math. Soc. 365, No. 4, 1743--1808 (2013; Zbl 1316.45010) Full Text: DOI arXiv
Niethammer, B.; Velázquez, J. J. L. Global stability and bounds for coarsening rates within the mean-field theory for domain coarsening. (English) Zbl 1113.35029 Commun. Partial Differ. Equations 31, No. 11, 1679-1708 (2006). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B40 45M05 45K05 35L60 82C21 PDFBibTeX XMLCite \textit{B. Niethammer} and \textit{J. J. L. Velázquez}, Commun. Partial Differ. Equations 31, No. 11, 1679--1708 (2006; Zbl 1113.35029) Full Text: DOI Link
Bodnar, M.; Velazquez, J. J. L. An integro-differential equation arising as a limit of individual cell-based models. (English) Zbl 1089.45002 J. Differ. Equations 222, No. 2, 341-380 (2006). Reviewer: Sebastian Anita (Iaşi) MSC: 45K05 92D25 45M05 PDFBibTeX XMLCite \textit{M. Bodnar} and \textit{J. J. L. Velazquez}, J. Differ. Equations 222, No. 2, 341--380 (2006; Zbl 1089.45002) Full Text: DOI Link
Velázquez, J. J. L. Point dynamics in a singular limit of the Keller-Segel model. II: Formation of the concentration regions. (English) Zbl 1058.35022 SIAM J. Appl. Math. 64, No. 4, 1224-1248 (2004). Reviewer: Dirk Horstmann (Köln) MSC: 35B25 35K45 92B05 35K55 92C17 PDFBibTeX XMLCite \textit{J. J. L. Velázquez}, SIAM J. Appl. Math. 64, No. 4, 1224--1248 (2004; Zbl 1058.35022) Full Text: DOI
Velázquez, J. J. L. Point dynamics in a singular limit of the Keller-Segel model. I: Motion of the concentration regions. (English) Zbl 1058.35021 SIAM J. Appl. Math. 64, No. 4, 1198-1223 (2004). Reviewer: Dirk Horstmann (Köln) MSC: 35B25 35K45 92B05 92C17 PDFBibTeX XMLCite \textit{J. J. L. Velázquez}, SIAM J. Appl. Math. 64, No. 4, 1198--1223 (2004; Zbl 1058.35021) Full Text: DOI
Primicerio, Mario; Götz, Ivan G.; Velázquez, Juan J. L. Asymptotic behaviour \((t\to +0)\) of the interface for the critical case of undercooled Stefan problem. (English) Zbl 1170.80323 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 13, No. 2, 143-148 (2002). MSC: 80A22 PDFBibTeX XMLCite \textit{M. Primicerio} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 13, No. 2, 143--148 (2002; Zbl 1170.80323)
Velázquez, J. J. L. On the effect of stochastic fluctuations in the dynamics of the Lifshitz-Slyozov-Wagner model. (English) Zbl 0973.82029 J. Stat. Phys. 99, No. 1-2, 57-113 (2000). MSC: 82C21 PDFBibTeX XMLCite \textit{J. J. L. Velázquez}, J. Stat. Phys. 99, No. 1--2, 57--113 (2000; Zbl 0973.82029) Full Text: DOI
Velázquez, J. J. L. The Becker-Döring equations and the Lifshitz-Slyozov theory of coarsening. (English) Zbl 0963.82036 J. Stat. Phys. 92, No. 1-2, 195-236 (1998). MSC: 82C31 82C28 PDFBibTeX XMLCite \textit{J. J. L. Velázquez}, J. Stat. Phys. 92, No. 1--2, 195--236 (1998; Zbl 0963.82036) Full Text: DOI
Angenent, S. B.; Velázquez, J. J. L. Asymptotic shape of cusp singularities in curve shortening. (English) Zbl 0829.35058 Duke Math. J. 77, No. 1, 71-110 (1995). Reviewer: E.Minchev (Sofia) MSC: 35K65 PDFBibTeX XMLCite \textit{S. B. Angenent} and \textit{J. J. L. Velázquez}, Duke Math. J. 77, No. 1, 71--110 (1995; Zbl 0829.35058) Full Text: DOI
Herrero, M. A.; Velázquez, J. J. L. Some results on blow up for semilinear parabolic problems. (English) Zbl 0828.35056 Ni, Wei-Ming (ed.) et al., Degenerate diffusions. Proceedings of the IMA workshop, held at the University of Minnesota, MN, USA, from May 13 to May 18, 1991. New York: Springer-Verlag. IMA Vol. Math. Appl. 47, 106-125 (1993). MSC: 35K55 35B40 35K57 PDFBibTeX XMLCite \textit{M. A. Herrero} and \textit{J. J. L. Velázquez}, IMA Vol. Math. Appl. 47, 106--125 (1993; Zbl 0828.35056)