Research interests:
- PDE and stochastic models in Biology
- Mathematical models in kinetic theory and applications
- Degenerate parabolic equations
Publications:
- C. Alamichel et al., Modeling compartimentalization within intracellular signaling pathway. Preprint. ArXiv HAL
- I. Reche et al., Calcium and iron as promoters of the self-assembly of dissolved organic matter into particles. Preprint.
- O. Sánchez, B. Ruiz-Granados, J. Calvo, J. Méndez-Abreu, On galaxy component modeling: 1. Degeneracy analysis via parameter space dimension reduction. Preprint.
- A. Martínez et al., Phytoplanktonic polysaccharide-mediated sedimentation of particulate organic carbon delays methane phenology. To appear in Limnology and Oceanography Letters.
- J. Calvo, E. Hingant, R. Yvinec, Long-time asymptotic of the Lifshitz-Slyozov equation with nucleation. To appear in Kinetic and Related Models. Preprint ArXiv HAL
- J. Calvo, E. Hingant, R. Yvinec, Some remarks about the well-posedness of Lifshitz-Slyozov's equations with nucleation kinetics. To appear in the proceedings of the International Conference on Hyperbolic problems (HYP22), held in Málaga in 2022. Preprint HAL
- J. Calvo, E. Hingant, R. Yvinec, The initial-boundary value problem for the Lifshitz-Slyozov equation with non-smooth rates at the boundary. Nonlinearity 34 (2021), 1975-2017, DOI ArXiv HAL
- J. Calvo, A. Marigonda, G. Orlandi, Anisotropic tempered diffusion equations. Nonlinear Analysis 199 (2020), 111937 DOI ArXiv
- J. Calvo, P.-E. Jabin, J. Soler, Global weak solutions to the relativistic BGK equation. Communications in Partial Differential Equations 45, 191-229 (2020). DOI ArXiv
- J. Calvo, J. Nieto, M. Zagour, Kinetic model for vehicular traffic with continuum velocity and mean field interactions. Symmetry 11, 1093 (2019). DOI ArXiv HAL
- J. Calvo, M. Doumic, B. Perthame, Long-time asymptotics for polymerization models. Communications in Mathematical Physics 363, 111-137 (2018). DOI ArXiv HAL
- J. Calvo, On Sonic Hedgehog morphogenic action and finite propagation speed models. SeMA Journal 75 (2), 173-195 (2018). DOI
- R. de la Cruz, P. Guerrero, J. Calvo, T. Alarcón, Coarse-graining and hybrid methods for efficient simulation of stochastic multi-scale models of tumour growth. Journal of Computational Physics 350, 974-991 (2017). DOI
- J. Calvo, J. Campos, V. Caselles, O. Sánchez, J.Soler, Qualitative behavior for flux-saturated mechanisms: travelling waves, waiting time and smoothing effects. Journal of the European Mathematical Society 19, 441-472 (2017). DOI Arxiv
- J. Calvo, M. Novaga, G. Orlandi, Parabolic equations in time dependent domains. Journal of Evolution Equations 17, 781-804 (2017). DOI Arxiv
- J. Calvo, Singular traveling Waves and Non-linear Reaction-Diffusion Equations. In "Computational Mathematics, Numerical Analysis and Applications. Lecture Notes of the XVII 'Jacques-Louis Lions' Spanish-French School", SEMA SIMAI Springer Series 13, Eds. M. Mateos, P. Alonso 2017, pp. 189-194. DOI
- J. Calvo, J. Nieto, Some aspects on kinetic modeling of evacuation dynamics (Comment on "Human behaviors in evacuation crowd dynamics: From modeling to "big data" toward crisis management" by Nicola Bellow et al.). Physics of Life Reviews 18 (2016), 42-43. DOI
- J. Calvo, J. Campos, V. Caselles, O. Sánchez, J. Soler, Pattern formation in a flux limited reaction-diffusion equation of porous media type. Inventiones Mathematicae 206, 57-108 (2016). DOI Arxiv
- J. Calvo, Analysis of a class of diffusion equations with a saturation mechanism. SIAM J. Math. Anal. 47, 2017-2051 (2015). DOI Arxiv
- J. Calvo, J. Campos, V. Caselles, O. Sánchez, J.Soler, Flux saturated porous media equations and applications. EMS Surveys in Mathematical Sciences 2, 131-218 (2015). DOI
- O. Sánchez, J. Calvo, C. Ibañez, I. Guerrero, J. Soler, Modeling Hedgehog signaling through flux-saturated mechanisms. In "Hedhehog Signaling Protocols", Methods in Molecular Biology vol. 1322, Ed. Natalia A. Riobo, pp. 19-33. Springer (2015). DOI
- J. Calvo, J. Nieto, J. Soler, O. Vasquez, On a dispersive model for the unzipping of double-stranded DNA molecules. Mathematical Models and Methods in the Applied Sciences 24 (03), 495-511 (2014). DOI
- J. Calvo, J. Soler, M. Verbeni, A non-linear flux-limited model for the transport of morphogens. In "Managing Complexity, reducing perplexity. Modeling biological systems", Springer Proceedings in Mathematics & Statistics 67. Eds. M. Delitala, G. Ajmone Marsan, pp. 55-64 (2014). DOI
- J. Calvo, on the hyperbolicity and causality of the relativistic Euler system under the kinetic equation of state. Communications on Pure and Applied Analysis 12(3), 1341-1347 (2013). DOI Arxiv
- J. Calvo, V. Caselles, Local-in-time regularity results for some flux-limited diffusion equations of porous media type. Nonlinear Analysis TMA 93, 236-272 (2013). DOI
- A. Bellouquid, J. Calvo, J. Nieto, J.Soler, Hyperbolic vs parabolic asymptotic in kinetic theory towards fluid dynamic models. SIAM Journal on Applied Mathematics 73(4), 1327-1346 (2013). DOI
- A. Bellouquid, J. Calvo, J. Nieto, J.Soler, On the relativistic BGK-Boltzmann model: Asymptotics and Hydrodynamics. Journal of Statistical Physics 149 (2), 284-316 (2012). DOI Arxiv
- B. Ruiz-Granados, E. Battaner, J. Calvo, E. Florido, J.A. Rubiño-Martín, Dark matter, magnetic fields and the rotation curve of the Milky Way. The Astrophysical Journal Letters 775 (2), L23 (2012). DOI
- F. Andreu, J. Calvo, J.M. Mazón, J. Soler, On a nonlinear flux-limited equation arising in the transport of morphogens. Journal of Differential Equations 252, 5763-5813 (2012). DOI Arxiv
- J. Calvo, J.M. Mazón, J. Soler, M. Verbeni, Qualitative properties of the solutions of a nonlinear flux-limited equation arising in the transport of morphogens. Mathematical Models and Methods in the Applied Sciences 21 (supp. 01), 893-937 (2011). DOI
- J. Calvo, P.-E. Jabin, Large time asymptots for a modified coagulation model. Journal of Differential Equations 250 (6), 2807-2837 (2011). DOI
- J. Calvo, On dispersion rates for solutions to the Vlasov-Poisson system. Transport Theory and Statistical Physics 40 (6-7), 312-330 (2011). DOI
- S. Calogero, J. Calvo, O. Sánchez, J. Soler, Virial inequalities for steady states in relativistic galactic dynamics. Nonlinearity 23, 1851-1871 (2010). DOI Arxiv
- S. Calogero, J. Calvo, O. Sánchez, J. Soler, Dispersive behavior in galactic dynamics. Discrete and Continuous Dynamical Systems B 14 (1), 1-16 (2010). DOI Arxiv
- D.M. Jacobs, P.L. Silva, J. Calvo, An empirical illustration and formalization of the theory of direct learning: the muscle-based perception of kinetic properties. Ecological Psychology 21 (3), 245-289 (2009). DOI
- J. Calvo, E. Florido, O. Sánchez, E. Battaner, J. Soler, B. Ruiz-Granados, On a unified theory of cold dark matter halos based on collisionless Boltzmann-Poisson polytropes. Physica A 388, 2321-2330 (2009). DOI