Elio Eduardo Espejo Arenas 助理教授
数学科学系 / 理工学院



联系方式 办公室
理工楼448

校园
University of Nottingham Ningbo China

地址
199 Taikang East Road, Ningbo, 315100, China

电话
+86 (0)574 8818 0000 (Ext: 8736)

邮箱
elio-eduardo-espejo.arenas@nottingham.edu.cn



学历
D. Max Planck Institut für Mathematik and Leipzig University. June 2008
Master of Science, Mathematics, Universidad Nacional de Colombia, Bogotá, June 2002.
Bachelor of Science, Mathematics, Universidad Nacional de Colombia, Bogotá, Sept. 2000.

个人简介
Elio E. Espejo joined the University of Nottingham Ningbo China (UNNC) in February 2020 as an Assistant Professor in Applied Mathematics.He has a Ph.D. in mathematics from the University of Leipzig and the Max Planck Institute for Mathematics in the Sciences, Germany, and a Master and a Bachelor in Mathematics from the National University of Colombia. He was a researcher fellow at the laboratory of biotechnology in Chile University, in the mathematics department of the Israel Institute of Technology, Technion in Haifa, Israel and the Osaka and Kyushu Universities in Japan. Elio was awarded in 2015 with the US$50.000 grant repatriation program in his country Colombia, where he spent two years working as a researcher at the National University of Colombia. Before arriving at UNNC he was working in the North University, in Barranquilla, Colombia.
His principal research interests involve the theory of partial differential equation and its applications to mathematical biology, for instance, cell motility, tumor growth, chemotaxis and fertilization processes.


教学
Currently
Calculus (MATH1027), advanced mathematical methods for civil engineering (MATH2031)
Past (other campuses)
Ring theory, Functional analysis, Mathematical Analysis I, II and III, abstract algebra, vectorial geometry, differential equations, linear algebra, introduction to elliptic equations, partial differential equations, Euclidean geometry, differential calculus.


研究方向
Applied mathematics: Emergence and swarm intelligence, Mathematical models for cell biology,specially those where chemotaxis place a central role, interaction between math biology and themathematical analysis of intelligent materials.
Pure mathematics: Non-linear parabolic and elliptic PDEs, Blow up problems in fluids, Navier-Stokes equations, Pattern formation, Variational Analysis, sharp conditions for global existence and blow-up in drift-diffusion systems, asymptotic methods, Childress conjecture on the Keller-Segel model and their generalization for several chemotactic species.


发表文章
Espejo Elio, Wu Hao, Optimal critical mass for the two-dimensional Keller-Segel model with rotational flux terms. Accepted for publication in Communication in mathematical sciences 2020.
Elio Espejo, Karina Vilches and Carlos Conca. A simultaneous blow-up problem arising in tumor modeling. Journal of mathematical biology 79 (4), 1357-1399. 2019.
Espejo Elio, Michael Winkler. Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier-Stokes system modeling coral fertilization. Nonlinearity 31 (4), 1227, 2018.
Espejo Elio, Suzuki Takashi. Reaction Enhancement by Chemotaxis, Nonlinear Analysis: Real world applications, 35, 102.131, 2017.
Espejo Elio, Suzuki, Takashi. Reactions terms avoiding aggregation in slow fluids. Nonlinear Analysis: Real World Applications. 21, 110-126, 2015
Elio Espejo, Takashi Suzuki. Global existence and blow-up for a system describing the aggregation of microglia. Applied Mathematics Letters 35C, 2014 , 29-34.
Espejo Arenas, Elio Eduardo; Wolansky Gershon. The Patlak-Keller-Segel model of chemotaxis on R² with singular drift and mortality rate. Nonlinearity 26, 2315.2331, 2013.
Espejo Arenas, Elio Eduardo; Masaki Kurokiba; Suzuki, Takashi. Blowup threshold and collapse mass separation for a drift-diffusion system in-space dimension two. Communications in pure and applied analysis (CPAA). Volume 12, issue 6, 2627-2644, 2013.
Elio Espejo, Karina Vilches and Carlos Conca. Sharp condition for blow-up and global existence in a two species chemotactic Keller.Segel system in R2. European Journal of Applied Mathematics, 24, pp 297-313, 2013.
Biler, Piotr; Espejo, Elio; Guerra, Ignacio. Blowup in higher dimensional two species chemotactic systems. Communications in pure and applied analysis (CPAA). Volume 12, issue 1, 2013.
Espejo Arenas, Elio Eduardo; Stevens Angela; Suzuki, Takashi. Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species. Differential and integral equations. Volume 25, numbers 3-4 (2012), 251-288.
Conca, Carlos, Espejo Elio. Threshold condition for global existence and blow-up to a radially symmetric drift-diffusion system. Applied Mathematics Letters 25 (2012) 352-356
Conca, Carlos, Espejo Elio, Karina Vilches. Remarks on the blowup and global existence for a two species chemotactic Keller-Segel system in R2: European Journal of Applied Mathematics (2011), vol. 22, pp. 553-580
Espejo Arenas, Elio Eduardo, Angela Stevens, Juan Velázquez. A Note on Non-Simultaneous Blow-up for a Drift-Diffusion Model. Differential and Integral Equations Volume 23, Numbers 5-6 (2010), 451-462. ISSN 0893-4983
Espejo Arenas, Elio Eduardo, Angela Stevens, Juan Velázquez. Simultaneous Finite Time Blow-up in a Two-Species Model for Chemotaxis. Analysis (2009), Vol. 29, Issue 3, 317.338. ISSN 0174-4747
Espejo Arenas, Elio Eduardo. El teorema de Liouville-Hardy. Lecturas matemáticas. 21 Número2. 101-112. 2000
Espejo Arenas, Elio Eduardo. Integración en un número finito de términos. Enseñanza Universitaria. IX, 1 y 2. 2001


科研项目 / 研究基金
Funded Projects SummaryDepartment of research and development North University, Barranquilla, Colombia. Project entitled: Mathematical description of phenomena with chemotaxis. 2019. Amount Funded: US$7000.
Research Institute for Mathematical Sciences Kyoto University. RIMS Gasshuku-style seminar. Research topic: Pattern formation and defects in biology and materials sciences. 2019. Amount Funded 1.200.000 yen.
Colombia program for repatriation of scientists to promote high-level projects in sciences and technology. Project entitled: Weak solutions for a system describing the chemotaxis in a turbulent fluid. Main researcher. 2015-2016. Amount funded: US$50.000