2023

Alphonse, Amal, Caetano, Diogo, Djurdjevac, Ana and Elliott, Charles M. (2023) Function spaces, time derivatives and compactness for evolving families of Banach spaces with applications to PDEs. Journal of Differential Equations, 353 . pp. 268-338. doi:10.1016/j.jde.2022.12.032 ISSN 0022-0396.

2018

Alphonse, Amal, Elliott, Charles M. and Terra, Joana (2018) A coupled ligand-receptor bulk-surface system on a moving domain : well posedness, regularity and convergence to equilibrium. SIAM Journal on Mathematical Analysis, 50 (2). pp. 1544-1592. doi:10.1137/16M110808X ISSN 0036-1410.

2016

Alphonse, Amal and Elliott, Charles M. (2016) Well-posedness of a fractional porous medium equation on an evolving surface. Nonlinear Analysis: Theory, Methods & Applications, 137 . pp. 3-42. doi:10.1016/j.na.2016.01.010 ISSN 0362-546X.

Alphonse, Amal (2016) Parabolic PDEs on evolving spaces. PhD thesis, University of Warwick.

2015

Alphonse, Amal and Elliott, Charles M. (2015) A Stefan problem on an evolving surface. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 373 (2050). doi:10.1098/rsta.2014.0279 ISSN 1364-503X.

Alphonse, Amal, Elliott, Charles M. and Stinner, Björn (2015) On some linear parabolic PDEs on moving hypersurfaces. Interfaces and Free Boundaries, 17 (2). pp. 157-187. doi:10.4171/IFB/338 ISSN 1463-9963.

Alphonse, Amal, Elliott, Charles M. and Stinner, Björn (2015) An abstract framework for parabolic PDEs on evolving spaces. Portugaliae Mathematica, 72 (1). pp. 1-46. doi:10.4171/PM/1955 ISSN 0032-5155.