Applied Mathematics, mathematical modeling, mathematical physics, environmental mathematics, heat and mass transfer, free boundary problems, adsorption.

• Mathematical Modelling in Climate Change Research (01/12/2021 – 31/12/2022)
  Funding body: Zayed University
  Project manager: M. Calvo-Schwarzwälder
  Grant reference: R21033
  Awarded amount: AED 17.350 
• La matemática en nanotecnología e industria (01/01/2018 – 31/12/2020)
  Funding body: Ministerio de Economía, Industria y Competitividad
  Project manager: T. G. Myers
  Grant reference: MTM2017-82317-P
  Awarded amount: EUR 12.342

1. L. C. Auton, M. Aguareles, A. Valverde, T. G. Myers, M. Calvo-Schwarzwalder. An analytical investigation into solute transport and sorption via intra-particle diffusion in the dual-porosity limit. Submitted to Applied Mathematical Modelling, November 2023. Preprint available at http://arxiv.org/abs/2311.10161.
2. A. Valverde, A. Cabrera-Codony, M. Calvo-Schwarzwalder, T. G. Myers. Investigating the impact of adsorbent particle size on column adsorption kinetics through a mathematical model. International Journal of Heat and Mass Transfer, 218: 124724 (2024).
3. M. Aguareles, M. Calvo-Schwarzwalder, F. Font, and T. G. Myers. A mathematical model for the energy stored in green roofs. Applied Mathematical Modelling, 115: 513–540 (2023).
4. T. G. Myers, A. Valverde, M. Aguareles, M. Calvo-Schwarzwalder, and F. Font. Modelling mass transfer from a packed bed by fluid extraction. International Journal of Heat and Mass Transfer, 188: 122562 (2022).
5. M. Calvo-Schwarzwalder, T. G. Myers, M. G. Hennessy. The one-dimensional Stefan problem with non-Fourier heat conduction. International Journal of Thermal Sciences, 150: 106210 (2020).
6. T. G. Myers, M. G. Hennessy, and M. Calvo-Schwarzwalder. The Stefan problem with variable thermophysical properties and phase change temperature. International Journal of Heat and Mass Transfer, 149: 118975 (2020).
7. M. Calvo-Schwarzwalder. Non-local effects and size-dependent properties in Stefan problems with Newton cooling. Applied Mathematical Modelling, 76: 513-525 (2019).
8. A. Beardo, M. Calvo-Schwarzwalder, J. Camacho, T. G. Myers, P. Torres, L. Sendra, F. X. Alvarez, and J. Bafaluy. Hydrodynamic heat transport in compact and holey silicon thin films. Physical Review Applied, 11: 034003 (2019).
9. M. G. Hennessy, M. Calvo-Schwarzwalder, and T. G. Myers. Modelling ultra-fast nanoparticle melting with the Maxwell-Cattaneo equation. Applied Mathematical Modelling, 69: 201–222 (2019).
10. M. Calvo-Schwarzwalder, M. G. Hennessy, P. Torres, T. G. Myers, and F. X. Alvarez. Effective thermal conductivity of rectangular nanowires based on phonon hydrodynamics. International Journal of Heat and Mass Transfer, 126: 1120–1128 (2018).
11. M. G. Hennessy, M. Calvo-Schwarzwalder, and T. G. Myers. Asymptotic analysis of the Guyer-Krumhansl-Stefan model for nanoscale solidification. Applied Mathematical Modelling, 61: 1–17 (2018).
12. M. Calvo-Schwarzwalder, M. G. Hennessy, P. Torres, T. G. Myers, and F. X. Alvarez. A slip-based model for the size-dependent effective thermal conductivity of nanowires. International Communications in Heat and Mass Transfer, 91: 57–63 (2018).