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Posts

Future Blog Post

less than 1 minute read

Published: January 01, 2199

This post will show up by default. To disable scheduling of future posts, edit config.yml and set future: false.

Blog Post number 4

less than 1 minute read

Published: August 14, 2015

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 3

less than 1 minute read

Published: August 14, 2014

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 2

less than 1 minute read

Published: August 14, 2013

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

Blog Post number 1

less than 1 minute read

Published: August 14, 2012

This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool.

portfolio

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publications

A remark on weakly contractive mappings

Published in Journal of Nonlinear Convex Analysis, 2015

A self-mapping of a metric space with a bounded range is Rakotch contractive if and only if it is weakly contractive in the sense of Alber and Guerre-Delabriere

Recommended citation: L. Aguirre Salazar and S. Reich (2015). " A remark on weakly contractive mappings" Journal of Nonlinear Convex Analysis 16(4), pp. 767-773. http://www.yokohamapublishers.jp/online2/jncav16-4.html

Numerical solution to a nonlocal and nonlinear Black-Scholes model by discrete mollification

Published in Revista Colombiana de Matemáticas, 2017

In this paper, we study a nonlinear nonlocal Black-Scholes model by means of the methods of finite differences, numerical integration and discrete mollification. In this model, conditions for stability and convergence of the discretization proposed are discussed.

Recommended citation: L. Aguirre, H. Contreras and C.D. Acosta (2017). " Numerical solution to a nonlocal and nonlinear Black-Scholes model by discrete mollification " (in Spanish); Revista Colombiana de Matemáticas 51(2), pp.195-220. http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262017000200195&lng=en&nrm=iso

Mass splitting in the Thomas-Fermi-Dirac-von Weizsäcker model with background potential

Published in Journal of Mathematical Physics, 2020

Recommended citation: L. Aguirre Salazar, S. Alama, and L. Bronsard (2020). " Mass splitting in the Thomas-Fermi-Dirac-von Weizsäcker model with background potential " Journal of Mathematical Physics 61 021502. https://doi.org/10.1063/1.5130565

Convergence of the TFDW Energy to the Liquid Drop Model

Published in SIAM Journal of Mathematical Analysis, 2021

Recommended citation: L. Aguirre Salazar, S. Alama, and L. Bronsard (2021). " Convergence of the TFDW Energy to the Liquid Drop Model " SIAM J. Math. Anal. 53(3) pp. 3493-3519. https://doi.org/10.1137/20M1344329

An Ohta-Kawasaki Model set on the space

Published in arXiv, 2024

Recommended citation: L. Aguirre Salazar, Xin Yang Lu, and Jun-cheng Wei. (2024) " An Ohta-Kawasaki Model set on the space " arXiv preprint arXiv:2401.03120. https://arxiv.org/pdf/2401.03120.pdf