Les Equacions en Derivades Parcials, EDPs, són una de las eines fonamentals de la modelització matemàtica en Biologia, Física, Química, Economia i Indústria. El seu estudi analític i les seves aplicacions formen l'eix del grup de recerca. El nostre interès central són les EDPs no lineals amb difusió standard o fraccionària i les EDPs de primer ordre amb termes no-locals. Estudiem el seu orígen i aplicacions en problemes de reacció, en biologia matemàtica, dinàmica de poblacions, epidemiologia, problemes geomètrics, dinàmica d'ones, i models de formació de preus.

http://futur.upc.edu/EDP

Enviaments recents

  • Viable inflationary evolution from Einstein frame loop quantum cosmology 

    Haro Cases, Jaume; Odintsov, Sergei D.; Oikonomou, V. K. (American Physical Society (APS), 2018-04-27)
    Article
    Accés obert
    In this work we construct a bottom-up reconstruction technique for loop quantum cosmology scalar-tensor theories, from the observational indices. Particularly, the reconstruction technique is based on fixing the functional ...
  • Bulk viscous quintessential inflation 

    Haro Cases, Jaume; Pan, Supriya (2018-04-01)
    Article
    Accés restringit per política de l'editorial
    In a spatially-flat Friedmann–Lemaître–Robertson–Walker universe, the incorporation of bulk viscous process in general relativity leads to an appearance of a nonsingular background of the universe that both at early and ...
  • Antisymmetry of solutions for some weighted elliptic problems 

    Cabré Vilagut, Xavier; Lucia, Marcello; Sanchón, Manel; Villegas, Salvador (2018-03-17)
    Article
    Accés restringit per política de l'editorial
    This article concerns the antisymmetry, uniqueness, and monotonicity properties of solutions to some elliptic functionals involving weights and a double well potential. In the one-dimensional case, we introduce the continuous ...
  • Planelike minimizers of nonlocal Ginzburg-Landau energies and fractional perimeters in periodic media 

    Cozzi, Matteo; Valdinoci, Enrico (2018-07-01)
    Article
    Accés obert
    We consider here a nonlocal phase transition energy in a periodic medium and we construct solutions whose interfaces lie at a bounded distance from any given hyperplane. These solutions are either periodic or quasiperiodic, ...
  • Reheating constraints in quintessential inflation 

    Haro Cases, Jaume; Aresté Saló, Llibert (2017-06-02)
    Article
    Accés obert
    We study the consequences of reheating in quintessential inflation. From simple inflationary quintessential models introduced by de Haro, Amorós, and Pan in [Phys. Rev. D 93, 084018 (2016)] and [Phys. Rev. D 94, 064060 ...
  • Instability and bifurcation in a trend depending price formation model 

    González Nogueras, María del Mar; Gualdani, Maria Pia; Solà-Morales Rubió, Joan de (2016-08)
    Article
    Accés obert
    A well-known model due to J.-M. Lasry and P.L. Lions that presents the evolution of prices in a market as the evolution of a free boundary in a diffusion equation is modified in order to show instabilities for some values ...
  • Convergence to steady-state and boundary layer profiles in a linear chromatography system 

    Menacho, Joaquín; Solà-Morales Rubió, Joan de (2015-01-01)
    Article
    Accés restringit per política de l'editorial
    We study the hyperbolic system of equations of the so-called linear transport model in a true moving bed chromatography device with four ports. By using methods based on a suitable energy functional we show that all solutions ...
  • Quintessential inflation at low reheating temperatures 

    Aresté Saló, Llibert; Haro Cases, Jaume (2017-11-23)
    Article
    Accés obert
    We have tested some simple quintessential inflation models, imposing the requirement that they match with the recent observational data provided by the BICEP and Planck team and leading to a reheating temperature, which ...
  • Reheating via gravitational particle production in simple models of quintessence or ¿CDM Inflation 

    Haro Cases, Jaume; Aresté Saló, Llibert (2017-11-14)
    Article
    Accés obert
    We have tested some simple CDM (the same test is also valid for quintessence) inflation models, imposing that they match with the recent observational data provided by the BICEP and Planck’s team and leading to a reheating ...
  • Delaunay hypersurfaces with constant nonlocal mean curvature 

    Cabré Vilagut, Xavier; Fall, Mouhamed Moustapha; Weth, Tobias (2017-08-12)
    Article
    Accés restringit per política de l'editorial
    We study hypersurfaces of RN with constant nonlocal (or fractional) mean curvature. This is the equation associated with critical points of the fractional perimeter functional under a volume constraint. We establish the ...
  • The matter-ekpyrotic bounce scenario in Loop Quantum Cosmology 

    Haro Cases, Jaume; Amorós Torrent, Jaume; Aresté Saló, Llibert (2017-09-01)
    Article
    Accés restringit per política de l'editorial
    We will perform a detailed study of the matter-ekpyrotic bouncing scenario in Loop Quantum Cosmology using the methods of the dynamical systems theory. We will show that when the background is driven by a single scalar ...

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