Research

Thesis (in catalan): "Anàlisi d'un model de suspensió-amortiment" (2004). ("Analysis of a suspension-damping model")

Abstract in catalan, Abstract in English, Thesis (in Catalan).

Publications and preprints:

M. P., J. Solà-Morales. Analysis of a viscoelastic spring-mass model. J. Math. Anal. and Appl. 294 v.2 (2004).

M. P., J. Solà-Morales. Spectral analysis and limit behaviors in a spring-mass system. Comm. on Pure and Applied Analysis vol.7 num.3 (2008) , 563–577.

M. P. Large time dynamics of a nonlinear spring-mass-damper model. Nonlinear Analysis vol. 69 (2008), 3110-3127.

M. P., J. Solà-Morales. Optimal decay rates and the selfadjoint property in overdamped systems. J. Differential Equations 246 (2009), 2813-2828.

M. P. Generalized convergence and uniform bounds for semigroups of restrictions of nonselfadjoint operators. J. Dynamics and Differential Equations vol. 22 issue 3 (2010), 399-411.

N. Cónsul, S.M. Oliva, M. P. A PDE approach of inflammatory phase dynamics in diabetic wounds. Publ. Mat. 58 (2014), 265-293.

J. Ripoll, A. Avinyó, M. P., and J. Saldaña. Impact of density-dependent migration flows on epidemic outbreaks in heterogeneous metapopulations. Phys. Rev. E 92, 022809 (2015).

J. Saldaña, M. Aguareles, A. Avinyó, M. Pellicer, J. Ripoll. An age-structured population approach for the mathematical modeling of urban burglaries. SIAM J. Appl. Dyn. Syst. (2018), 17(4), 2733–2760.
(See review at SIAM NEWS Research Nuggets and link at Forbes.)

M. Pellicer, J. Solà-Morales. Optimal scalar products in the Moore-Gibson-Thompson equation. Evol. Eqs. and Control Theory vol. 8, num. 1 (2019).
M. Pellicer, B. Said-Houari. Wellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound. App. Math. and Optimization, 80, 447-478 (2019, on-line 2017).
M. Conti, V. Pata, M. Pellicer, R. Quintanilla. On the analyticity of the MGT-viscoelastic plate with heat conduction. J. Differential Eqs., 269(10), 7862-7880 (2020).
M. Pellicer, R. Quintanilla. On uniqueness and instability for some thermomechanical problems involving the Moore-Gibson-Thompson equation. Z. Angew. Math. Phys. 71, 84 (2020).
M. Pellicer, B. Said-Houari. On the Cauchy problem of the standard linear solid model with Fourier heat conduction. Z. Angew. Math. Phys. 72, 115 (2021).

M. Conti, V. Pata, M. Pellicer, R. Quintanilla. A new approach to MGT-thermoviscoelasticity. Discrete and Cont. Dynam. Systems, 41 (10), 4645-4666 (2021).

M. Pellicer, B. Said-Houari. On the Cauchy problem of the standard linear solid model with Cattaneo heat conduction. Asympt. Analysis, vol. 126, pp. 95-127 (2022).

M. Pellicer, R. Quintanilla. Continuous dependence and convergence for Moore-Gibson-Thompson heat equation. Acta Mechanica (2023).

J. Fernández, M. Pellicer, R. Quintanilla. Continuous dependence and convergence for a Moore Gibson Thompson thermoelastic problem. Mechanics Based Design of Structures and Machines (2023).

M. Pellicer, R. Quintanilla, Y. Ueda. Dissipative structures for the system of Moore-Gibson-Thompson thermoelasticity in the whole space. Math. Meth. Appl. Sci. (2024) 1-15, DOI 10.1002/mma.10003

J. Menacho, M. Pellicer, J. Solà-Morales. Long-time behaviour of the correlated random walk system. Evol. Eqs. and Control Theory (2025), vol. 14 (4), 841-867. DOI: 10.3934/eect.2025009 (ArXiv version).

J. Menacho, M. Pellicer, J. Solà-Morales. On the rate of convergence to steady state on a linear chromatography model (Arxiv version). Sumbitted (2026).

N. Bazarra, J.R. Fernández, M. Pellicer, R. Quintanilla. Study of the energy decay for three second-gradient thermoelastic models. Electr. Research Archive (2026), Vol 34, Issue 9, 6483-6512, DOI: 10.3934/era.2026284.

Other publications:

M. Pellicer. Anàlisi d'un model de suspensió-amortiment: projecte de tesi (Catalan) (2002).

M. Pellicer, J. Solà-Morales. Analysis of a viscoelastic spring-mass model. Poster 6a Trobada SCM (2003).

M. Pellicer et al. Curvatures i interpolació en disseny de lents (Catalan). Grups d'Estudi de Matemàtica i Tecnologia-Preprint (2003).

M. P. Asymptotic behavior and oscillations in a viscoelastic problem. Actas XVIII CEDYA-VII CMA (2003).

M. P., J. Solà-Morales. Internal viscosity and limit behavior in a wave equation with strong damping. Actas CEDYA 2005.

M. Aguareles, X. Mora, M. Noguera, M.P. Mathematical model of rowing in catalan llagut, in Grups d'Estudi de Matemàtica i Tecnologia 2007. (Eds. J.A. Carrillo, E. Fossas, J. Solà-Morales). Ed. CRM, ISBN: 978-84-612-4771-4 (2008).

J. Blasco, P. Díez, M. Pellicer, A. Rodríguez-Ferran. Ideal MHD equilibria of tokamak plasmas, in Grups d'Estudi de Matemàtica i Tecnologia 2008. (Eds. A. Alabert, E. Fossas, J. Solà-Morales). Ed. CRM, ISBN: 978-84-613-3301-1 (2009).

M. Aguareles, J. Blasco, M.P, J. Solà-Morales. Voltage drop in on-chip power distribution networks, in Grups d'Estudi de Matemàtica i Tecnologia 2009. (Eds. A. Alabert, J. Saludes, J. Solà-Morales). Ed. CRM, ISBN: 978-84-614-2167-1 (2010).

X. Mora, M.P. Understanding and measuring rhythmic quality in dance.What is a movement accent?, in Proceedings of Bridges Enschede 2013 (2013).

A. Avinyó, M. P., J. Ripoll, and J. Saldaña. Density-Dependent Diffusion and Epidemics on Heterogeneous Metapopulations, en CRM Extended Abstracts Spring 2014: Hamiltonian Systems and Celestial Mechanics; Virus Dynamics and Evolution (2015).

C. Barril, À. Haro, M.Pellicer, J. Solà-Morales. MHD equilibria of tokamak plasmas, in Proceedings of the 115th European Study Groups with Industry, Barcelona 2016. (Eds. T. Myers, J. Solà-Morales, M. Aguareles, M. Pellicer). Ed. CRM, ISBN: 978-84-697-5163-3 (2017), p. 45-56.

J. Antunes, F. Brosa Planella, A. Dòria-Cerezo, A. March San José, M. Pellicer, A. Rodríguez-Ferran, J. Saludes. Human towers or castells modelling. Applications of Industrial Mathematics, 158th European Study Groups with Industry, Barcelona, Spain, January 27-31, 2020 (Eds. M. Aguareles, F. Font, T. Myers, M. Pellicer, J. Solà-Morales). RSME Springer Series, ISBN 978-3-031-32129-0 (2023).

Congresses and seminars:

Congresses:

M.Pellicer. Comportamiento asintótico y oscilaciones en un problema viscoelástico. XVIII CEDYA-VII CMA, Tarragona (Spain) 15-19 setembre del 2003.

M.Pellicer, J. Solà-Morales. Ecuación diferencial ordinaria como límite para una ecuación de ondas no lineal para un sistema muelle-masa. No Lineal 2004, Toledo (Spain) 1-4 juny del 2004.

M.Pellicer. Limit behavior in a wave equation for a spring-mass-damper system. BAMC 2005, Liverpool (United Kingdom) 4-7 abril del 2005.

M.Pellicer, J. Solà-Morales. Viscosidad interna y comportamiento límite en una ecuación de ondas con disipación fuerte. CEDYA 2005, Leganés (Spain) (2005).

M.Pellicer, J. Solà-Morales. Limit ODE and invariant manifolds in a nonlinear wave equation. AIMS 2006, Poitiers (France) (2006).

M.Pellicer, J. Solà-Morales. Limit ODE of a nonlinear PDE model for a spring-mass-damper system. ICMC Summer Meeting 2008 (in honour of Jack K. Hale), Sao Carlos (Brazil) (2008).

M.Pellicer. Selfadjointness and optimal decay rates in overdamped equations. 2nd IST-IME meeting, Lisboa (Portugal) (2009).

N. Cónsul, S.M. Oliva, M.Pellicer. Modelling and analysis of inflammatory phase dynamics in diabetic wound healing. DSPDE's (SIAM), Barcelona (2010).

N. Cónsul, S.M. Oliva, M.Pellicer. A PDE approach for the dynamics of the inflammatory stage in diabetic wound healing. In Pattern Formation: the inspiration of Alan Turing, Oxford (2012).

N. Cónsul, S.M. Oliva, M.Pellicer. Sobre un modelo en derivadas parciales para la dinámica de la fase inflamatoria en la cicatrización de heridas con diabetes. NoLineal 2012, Zaragoza (2012).

A. Avinyó, M.Pellicer, J. Ripoll, J.Saldaña. Density dependent diffusion and spread of dynamics in a metapopulation model. MathCompEpi, Erice (Sicily) (2015).

C. Barril, À. Haro, M.Pellicer, J. Solà-Morales. Boundary parameterization in MHD equilibria of Tokamak Plasmas. Congreso bienal RSME (sesión Mat. Industrial), Zaragoza (2017).

M. Pellicer, B. Said-Houari, J. Solà-Morales. The Moore-Gibson-Thompson equation arising in high intensity ultrasound. ICIAM 2019, Valencia (2019).

M. Pellicer, B. Said-Houari, J. Solà-Morales. Optimal decay rates of the Moore-Gibson-Thompson equation. Waves 2019, Wien (2019).

M. Pellicer. On the Cauchy problem of the standard linear solid model with heat conduction: Fourier versus Cattaneo. Conference on Mathematics of Wave Phenomena, Karlsruhe (2022).

M. Pellicer. The Moore-Gibson-Thompson equation with heat conduction in R^N: Fourier versus Cattaneo. Encuentro de la Red de EDPs No Locales y Aplicaciones. ICMAT, Madrid (2023).

J. Menacho, M. Pellicer, J. Solà-Morales. Alguns resultats sobre valors propis i comportament asimptòtic en un sistema de moviment correlacionat. Trobada d'EDPs i Aplicacions 2024. En honor de Joan de Solà-Morales Rubió. FME, UPC, Barcelona (2024).

J. Menacho, M. Pellicer, J. Solà-Morales. On some simplified chromatography models. MINERVA Meeting. Universitat de Girona (2025).

J. Menacho, M. Pellicer, J. Solà-Morales. Asymptotic behaviour of some simplified chromatography models. Bilbao Barcelona Analysis and PDEsMeeting. BCAM, Bilbao (2025).

J. Menacho, M. Pellicer, J. Solà-Morales. On the exponential decay in some simple chromatographic models. 5th Int. Conf. on Dynamics of Differential Equations In memory of Jack K. Hale. ICMAT, Madrid (2026).

Seminar GREPDA (UPC-UAB-UdG):

Dissipació en una equació d'ones per a un sistema molla-massa (2001).

Anàlisi d'un model de suspensió-amortiment (2002).

Equació d'ones no lineal per a un sistema molla-massa, varietats invariants i EDO límit (2004).

Operadors autoadjunts i decaïment òptim en sistemes amb dissipació forta (2008).

Other Seminars or Workshops:

Anàlisi d'una equació d'ones amb dissipació per a un sistema molla-massa , Seminari de Matemàtica Aplicada (UdG), Girona (2004).

Asymptotic behaviour in a viscoelastic model, Jornades Comunitat de Treball d'EDPs i Aplicacions, U. Autònoma de Barcelona (2005).

Spectral analysis and large time behaviour in a viscoelastic model, Applied Mathematics Seminar, U. of Liverpool (2005).

N. Cónsul, S.M. Oliva, M. P. On a model of inflammatory phase dynamics in diabetic wound healing. Jornades d'Introducció als Sistemes Dinàmics (JISD), UPC, Barcelona (2010).

N. Cónsul, S.M. Oliva, M. P. A PDE approach of inflammatory phase dynamics in diabetic wound healing. 1st Swedish-Catalan Conference in Mathematics, Barcelona (2010).

N. Cónsul, S.M. Oliva, M. P. Modelització de la fase inflamatòria en la cicatrització de ferides. EDMA seminar, Universitat de Girona (2010).

N. Cónsul, S.M. Oliva, M. P. On a PDE model for a wound healing problem. Trobada d'EDPs i Aplicacions - Girona 2012, Girona (2012).

N. Cónsul, S.M. Oliva, M. P. On a wound healing model in diabetis: an example of the use of Mathematics in Medicine. Seminari Unitat Histologia Mèdica (Facultat de Medicina, UAB), UAB (2013).

On the Standard Linear Viscoelastic model. Trobada d'EDPs i Aplicacions - Girona 2016, Girona (2016)