Short Research C.V.

(January 05, 2020)

Birth: Barcelona, 1954.
Degree: Doctor en Ciències (Matemàtiques), 1983, Universitat Autònoma de Barcelona (Advisor: C. Perelló).
Research group page:  https://edps.upc.edu/en

Recent research projects:

·             2001-2003.  MECD (Spain)-CAPES (Brazil) (PHB2001-0052-PC). Main researcher of the spanish part.

·             2002-2005.  DGI-MCyT (Spain) (BFM2002-04613-C03-01). Main researcher.

·             2003-2005.  DURSI (Generalitat de Catalunya, Spain). Thematic network (2003/XT/00002). Main researcher.

·             2005-2008.  MEC (Spain) (MTM2005-07660-C02-01). Researcher. (Main researcher: X. Cabré.)

·             2009-2011.  MICINN (Spain) (MTM2008-06349-C03-01). Researcher. (Main researcher: X. Cabré.)

·             2012-2015.  MINECO (Spain) (MTM2011-27739-C04-01). Researcher. (Main researcher: X. Cabré.)

·             2016-2018.  MINECO (Spain) (MTM2014-52402-C3-1-P). Researcher. (Main researcher: X. Cabré.)

.             2018-2022   MINECO (Spain) (MTM2017-84214-C2-1-P). Researcher. (Main researcher: X. Cabré.)

 
Publications since 2003:

·             Albert Avinyó, J. Solà-Morales and M. València : "On maps with given jacobians involving the heat equation". Z. Angew. Math. Phys. 54 (2003), no. 6, 919-936.

·             M. Pellicer and J. Solà-Morales: “On a Model for a Spring-Mass System”, J. Math. Anal. Appl. 294 (2004), no. 2, 687-698.

·             H. M. Rodrigues and J. Solà-Morales: “Linearization of class C1 for contractions in infinite dimensions”. J. Differential Equations 201 (2004), no. 2, 351-382.

·             H.M. Rodrigues and J. Sola-Morales: "Smooth Linearization for a saddle on Banach spaces". J. Dynam. Differential Equations  16  (2004),  no. 3, 767-793.

·             X. Cabré and  J. Solà-Morales, "Layer solutions in a halfspace for boundary reactions".  Comm. Pure Appl. Math.  58  (2005),  no. 12, 1678-1732.

·             H. M. Rodrigues and  J. Solà-Morales, "An inverible contraction that is not C1-linearizable".  C. R. Math. Acad. Sci. Paris  340  (2005),  no. 11, 847-850.

·             H. M. Rodrigues and J. Solà-Morales: "Invertible contractions and asymptotically stable ODE's that are not C1-linearizable", J. Dynam. Differential Equations 18 (2006), 961-974.

·             M. Pellicer and J. Solà-Morales: "Spectral analysis and limit behaviours in a spring-mass system", Communications on Pure and Applied Analysis 7 (2008), 563-577.

·             M. Pellicer and J. Solà-Morales: "Optimal decay rates and the selfadjoint property in overdamped systems", J. Differential Equations 246 (2009), no. 7, 2813-2828.

·             H. M. Rodrigues and J. Solà-Morales: "On the Hartman-Grobman Theorem with Parameters", J. Dynam. Differential Equations 22 (2010), 473-489.

·             A. Avinyó, J. Solà-Morales and M. València : "On the diffusion algorithm for density-equalizing maps with piecewise constant initial data". Math. Methods Appl. Sci. 35 (2012), 1234-1240.

·            A.  Avinyó, J. Solà-Morales and M. València : "A Singular Initial Value Problem to Construct Density-Equalizing Maps". J. Dynam. Differential Equations 24 (2012), 51-59.

·            M. Aguareles, J. Haro, J. Rius and J. Solà-Morales : "On an asymptotic formula for the maximum voltage drop in a on-chip power distribution network". European Journal of Applied Mathematics 23 (2012), 245-265.

·            H. M. Rodrigues and J. Solà-Morales: "Known results and open problems on C1 linearization in Banach spaces". São Paulo J. Math. Sci. 6 (2012), no. 2, 375–384.

·            J. Menacho and J. Solà-Morales: "Convergence to Steady-state and Boundary Layer Profiles in a Linear Chromatography System". SIAM J. Appl. Math. 75 (2015), no. 2, 745–761.

·            MdM. González, MP. Gualdani and J. Solà-Morales : "Instability and bifurcation in a trend depending price formation model".Acta Applicandae Mathematicae, 144(1) (2016), 121-136. arXiv: 1306.1116.

.            H.M. Rodrigues and J. Solà-Morales: "Differentiability with respect to parameters in global smooth linearization". Journal of Differential Equations,  262 (2017), no. 6, 3583–3596.

·            X. Cabré, M. M. Fall, J. Solà-Morales and T. Weth: "Curves and surfaces with constant nonlocal mean curvature: meeting Alexandrov and Delaunay".  Journal für die Reine und Angewandte Mathematik, 745 (2018), 253–280. arXiv:1503.00469

·            M. Pellicer and J. Solà-Morales : "Optimal scalar products in the Moore-Gibson-Thompson Equation". Evolution Equations and Control Theory, 8 (1), (2019), 203-2020.

.            H.M. Rodrigues, J. Solà-Morales and G.K. Nakassima: "Stability problems in non autonomous linear differential equations in infinite dimensions". Communications on Pure and Applied Analysis Communications on Pure & Applied Analysis,19 (6) (2020) 3189-3207, 2020. arXiv:1906.04642

.            H.M. Rodrigues and J. Solà-Morales: "An example on Lyapunov stability and linearization". Journal of Differential Equations, 269 (2) (2020), 1349-1359. arXiv:1902.02111

.            H.M. Rodrigues and J. Solà-Morales: "A new example on Lyapunov stability". Preprint 2020, arXiv:2011.02936. J. Dynam. Differential Equations, published online: March 2021 (https://doi.org/10.1007/s10884-021-09962-8).

.            E. Benedito, O. Bond, T. Babb. J.R. Pacha, S. Kumar, J. Solà-Morales: "Safe trajectory of a piece moved by a robot". Preprint, 2020. arXiv:2011.03330 

Two older publications, perhaps not easy to find:

·             J. Solà-Morales: “Conditions au bord sur la vitesse et la pression pour les équations de Navier-Stokes dans une conduite finie. (French) [Boundary conditions on the velocity and pressure for the Navier-Stokes equations in a finite pipe]" C. R. Acad. Sci. Paris Sér. I Math. 299 (1984), no. 11, 499–502.

·             X. Mora and J. Solà-Morales: “Existence and nonexistence of finite-dimensional globally attracting invariant manifolds in semilinear damped wave equations". Dynamics of infinite-dimensional systems (Lisbon, 1986), 187–210, NATO Adv. Sci. Inst. Ser. F Comput. Systems Sci., 37, Springer, Berlin, 1987.

PhD. thesis advisored:

·             M. València: “Dynamical aspects of some dissipative semilinear equations”, Universitat Autònoma de Barcelona, Facultat de Ciències, 1989

·             N. Cònsul: “Diffusion equations with nonlinear boundary conditions”, Universitat Politècnica de Catalunya, Facultat de Matemàtiques i Estadística, 1997.

·             J.A. Lubary: “Boundary value problems for differential equations on graphs”, Universitat Politècnica de Catalunya, Facultat de Matemàtiques i Estadística, 2000.

·             M. Pellicer: “Analysis of a model of suspension and shock absorption”, Universitat Politècnica de Catalunya, Facultat de Matemàtiques i Estadística, 2004.