Open Access
Issue
ESAIM: M2AN
Volume 53, Number 3, May-June 2019
Page(s) 775 - 803
DOI https://doi.org/10.1051/m2an/2018056
Published online 05 June 2019
  1. F. Ammar-Khodja, S. Micu and A. Münch, Controllability of a string submitted to unilateral constraint. Ann. Inst. Henri Poincaré Anal. Non Linéaire 27 (2010) 1097–1119. [CrossRef] [Google Scholar]
  2. S. Asfour, F. Bernardin and E. Toussaint, Experimental validation of 2d hydrothermal modelling of porous pavement for heating and solar energy retrieving applications. To appear in: Road Mater. Pavement Des. J. doi: 10.1080/14680629.2018.1525418 (2018). [Google Scholar]
  3. S. Asfour, F. Bernardin, E. Toussaint and J.-M. Piau, Hydrothermal modeling of porous pavement for its surface de-freezing. Appl. Therm. Eng. 107 (2016) 493–500. [Google Scholar]
  4. B. Azmi and K. Kunisch, Receding horizon control for the stabilization of the wave equation. Discrete Contin. Dyn. Syst. 38 (2018) 449–484. [CrossRef] [Google Scholar]
  5. L. Bouilloud and E. Martin, A coupled model to simulate snow behavior on roads. J. Appl. Meteorol. Climatol. 45 (2006) 500–516. [Google Scholar]
  6. E. Casas, C. Clason and K. Kunisch, Parabolic control problems in measure spaces with sparse solutions. SIAM J. Control Optim. 51 (2013) 28–63. [Google Scholar]
  7. M. Chen, S. Wu, H. Wang and J. Zhang, Study of ice and snow melting process on conductive asphalt solar collector. Solar Energy Mater. Solar Cells 95 (2011) 3241–3250. [CrossRef] [Google Scholar]
  8. L.-P. Crevier and Y. Delage, Metro: a new model for road-condition forecasting in canada. J. Appl. Meteorol. 40 (2001) 2026–2037. [CrossRef] [Google Scholar]
  9. G. Duvaut and J.-L. Lions, Inequalities in mechanics and physics. Translated from the French by C.W. John, Grundlehren der Mathematischen Wissenschaften 219. Springer-Verlag, Berlin-New York (1976). [CrossRef] [Google Scholar]
  10. W. Eugster, Road and bridge heating using geothermal energy. overview and examples. In: Proceedings European Geothermal Congress 2007 Unterhaching (2007). [Google Scholar]
  11. R. Mallick, B. Chen, S. Bhowmick and M. Huken, Capturing solar energy from asphalt pavements. In: International ISAP Symposium on Asphalt Pavements and Environment. Zurich, Switzerland (2008). [Google Scholar]
  12. A. Mammeri, L. Ulmet, C. Petit and A. Mokhtari, Temperature modelling in pavements: the effect of long- and short-wave radiation. Int. J. Pavement Eng. 16 (2015) 198–213. [CrossRef] [Google Scholar]
  13. J. Martínez-Frutos, M. Kessler, A. Münch and F. Periago, Robust optimal Robin boundary control for the transient heat equation with random input data. Int. J. Numer. Methods Eng. 108 (2016) 116–135. [Google Scholar]
  14. X. min Zhou, Z.J. Yang, C. Chang and G. Song, Numerical assessment of electric roadway deicing system utilizing emerging carbon nanofiber paper. J. Cold Regions Eng. 26 (2012) 1–15. [CrossRef] [Google Scholar]
  15. K. Morita and M. Tago, Operational characteristics of the gaia snow-melting system in Ninohe, Iwate, Japan. In: World Geothermal Congress 2000. Beppu–Morioka, Japan (2000) 3511–3516. [Google Scholar]
  16. A. Münch and F. Periago, Numerical approximation of bang–bang controls for the heat equation: an optimal design approach. Syst. Control Lett. 62 (2013) 643–655. [Google Scholar]
  17. E. Sachs, A parabolic control problem with a boundary condition of the Stefan-Boltzmann type. Z. Angew. Math. Mech. 58 (1978) 443–449. [Google Scholar]
  18. A. Scacht, M. Munk, C. Busen, M. Osser and B. Steinauer, Application of a porous interlayer for road temperature control. In: XIV International Winter Road Congress. Institute for Road and Traffic Engineering, RWTH Aachen university, Deutschland, PIARC, Andoraa la Vella (2014). [Google Scholar]
  19. T. Scharf, La route thermorégulée. In: ARTE Futuremag, Les routes de demain. Paris, France (2016). [Google Scholar]
  20. Z. Tang, Z. Li, J. Qian and K. Wang, Experimental study on deicing performance of carbon fiber reinforced conductive concrete. J. Mater. Sci. Technol. 21 (2005) 113–117. [Google Scholar]
  21. W. Yu, X. Yi, M. Guo and L. Chen, State of the art and practice of pavement anti-icing and de-icing techniques. Sci. Cold Arid Reg. 6 (2014) 14–21. [Google Scholar]
  22. J. Zhang, D. Das and R. Peterson, Selection of effective and efficient snow removal and ice control technologies for cold-region bridges. J. Civil Environ. Architectural Eng. 3 (2009) 1–14. [Google Scholar]
  23. H. Zhao, Z. Wu, S. Wang, J. Zheng and G. Che, Concrete pavement deicing with carbon fiber heating wires. Cold Regions Sci. Technol. 65 (2011) 413–420. [CrossRef] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you