Registered Data

[CT046]

  • Session Time & Room
    • CT046 (1/1) : 3C @G710 [Chair: blanca ayuso de dios]
  • Classification
    • CT046 (1/1) : Partial differential equations of mathematical physics and other areas of application (35Q)

[00929] On the continuum limit of epidemic models on graphs

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @G710
  • Type : Contributed Talk
  • Abstract : We consider an epidemic model defined on graphs and study the asymptotic behavior of the solutions as the number of vertices in the graph diverges. By relying on the theory of (graphons) we provide a characterization of the limit and establish convergence results. We also present approximation results for both deterministic and random discretizations. The analysis applies to dense and sparse graphs, including power-law networks. Extensive numerical results illustrate and assess the analytical findings.
  • Classification : 35Q92, 05C99, 92D30, 65M22, 35R02
  • Format : Talk at Waseda University
  • Author(s) :
    • blanca ayuso de dios (universita milano-bicocca)
    • Simone Dovetta (Politecnico di Torino)
    • Laura Spinolo (IMATI-CNR, Pavia)

[00681] A revised Hughes model for pedestrian flow

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @G710
  • Type : Contributed Talk
  • Abstract : In this talk, we analyse the modified Hughes model for pedestrian dynamics, in which individuals seek to minimize their travel time. We present the existence and uniqueness of the solution and illustrate the behavior of the model with various numerical results. This is joint work with Prof Nader Masmoudi
  • Classification : 35Q91, 35Q70, 35F21
  • Format : Talk at Waseda University
  • Author(s) :
    • Mohamed Ghattassi (NYUAD)

[01790] Numerical simulation of two-layer shallow-water models: Application to Maximal Exchange at Lombok Strait

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @G710
  • Type : Industrial Contributed Talk
  • Abstract : We investigate the generation of internal waves in the Lombok Strait due to semi-diurnal tides using the momentum-conserving staggered grid (MCS) scheme. We first simulate the steady interface representing the maximum exchange flows, which has two controls located at Karangasem Narrows (KN) and Nusa Penida Sill (NPS). Next, the transport volume due to semidiurnal tides is calculated. Finally, internal wave activity near the KRI Nanggala 402 shipwreck site is analysed.
  • Classification : 35Q86, 76M20, 65Mxx, Computational Fluid Dynamics (internal waves, internal hydraulics)
  • Format : Online Talk on Zoom
  • Author(s) :
    • Putu Veri Swastika (Udayana University)
    • Sri Redjeki Pudjaprasetya (Bandung Institute of Technology)
    • Nugrahinggil Subasita (Center for Applied Climate Services, Climatological Department, Agency for Meteorology Climatology and Geophysics (BMKG))

[00848] Mathematical modelling of neuroblast migration in the mouse brain

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @G710
  • Type : Contributed Talk
  • Abstract : This talk is devoted to the mathematical modeling of migration of neuroblasts, precursor cells of neurons, with PDE. The pathway is determined mainly by attraction forces and the heterogeneous mobility of neuroblasts in different regions of the brain. In numerical simulations, the application of novel discontinuous Galerkin methods allows to maintain the properties of the continuous model. We present some successful computer tests including parameter adjust to fit real data from rodent brains.
  • Classification : 35Q92, 92-10, 65M60
  • Format : Online Talk on Zoom
  • Author(s) :
    • Noelia Ortega-Román (Universidad de Cádiz)
    • J. Rafael Rodríguez-Galván (Universidad de Cádiz)
    • Daniel Acosta-Soba (Universidad de Cádiz)
    • Francisco Guillén-González (Universidad de Sevilla)

[00849] Well-suited upwind DG scheme for a phase-field tumor model

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @G710
  • Type : Contributed Talk
  • Abstract : This talk is focused on the numerical analysis of a modified diffuse-interface tumor model with degenerate mobility. In particular, we develop a discontinuous Galerkin upwind scheme that conserves the mass, preserves the discrete maximum principle and satisfies an energy law both for the Cahn-Hilliard equation and for the phase-field tumor model. Moreover, we present several numerical experiments that enhance the qualitative behavior of the model and which are in accordance with the theoretical results.
  • Classification : 35Q92, 65M60, 92-10
  • Format : Online Talk on Zoom
  • Author(s) :
    • Daniel Acosta-Soba (Universidad de Cádiz)
    • Francisco Guillén-González (Universidad de Sevilla)
    • J. Rafael Rodríguez-Galván (Universidad de Cádiz)