Objective The nanoparticle (NP) lies at the very heart of nanotechnology. The wide range of current and potential uses of NPs, which include medicine, manufacturing, environment, and energy, has stimulated an international research effort focusing on NP synthesis and design. Despite extensive research into NPs, many breakthroughs and advances are the result of trialand error, since the mathematical framework which could provide a theoretical understanding often does not exist.This is partly because classical theories of heat transfer and phase change, which are relevant to the design anduse of NPs, breakdown on the nanoscale.The focus of the proposed research is, therefore, to develop and analyse novel mathematical models describingnanoscale heat transfer and phase change. Exact, approximate, and numerical solutions will be obtained in orderto gain practical insights into NP evolution. To ensure the models and results are realistic and of use tonanoscience researchers, the work will be carried out in collaboration with members of the Inorganic NanoparticlesGroup of the Catalan Institute for Nanoscience and Nanotechnology, and the Statistical Physics Group at the AutonomousUniversity of Barcelona. The project, which is truly multi-disciplinary, will bridge the gap between mathematicsand nanotechnology. Fields of science natural sciencesmathematicspure mathematicsmathematical analysisnatural scienceschemical sciencesinorganic chemistrypost-transition metalsengineering and technologynanotechnologynano-materialsnatural sciencesphysical sciencesopticslaser physicsnatural sciencesmathematicsapplied mathematicsmathematical model Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Topic(s) MSCA-IF-2015-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF) Call for proposal H2020-MSCA-IF-2015 See other projects for this call Funding Scheme MSCA-IF-EF-ST - Standard EF Coordinator Consorci Centre de Recerca Matematica Net EU contribution € 158 121,60 Address FACULTAD CIENCIES UAB APRATADO 50 08193 Bellaterra Spain See on map SME The organization defined itself as SME (small and medium-sized enterprise) at the time the Grant Agreement was signed. Yes Region Este Cataluña Barcelona Activity type Research Organisations Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 158 121,60