Amal Alphonse

WIAS, Berlin
Welcome to my page. I'm a postdoctoral researcher at the Weierstrass Institute in Berlin, working in the group of Professor Michael Hintermüller.
I'm primarily interested in quasi-variational inequalities, nonlinear PDEs, parabolic equations on evolving surfaces, fractional diffusion and free boundary problems.

Before joining WIAS, I was a postdoctoral research fellow at the University of Warwick, where I also completed my PhD under the supervision of Professor Charles Elliott in the MASDOC doctoral training centre. My PhD examiners were Professor Juan Luis Vázquez and Professor James Robinson.

2016– Postdoctoral research, Weierstrass Institute
2015–2016Postdoctoral research, Mathematics Institute, University of Warwick
2012–2016PhD in Mathematics, University of Warwick
2011–2012Master's in Mathematics, University of Warwick
2007–2011MMath in Mathematics and Computer Science, University of York
  1. Existence, iteration procedures and directional differentiability for parabolic QVIs [pdf]
    with M. Hintermüller and C. N. Rautenberg, Calc. Var. 59, 95 (2020).
  2. Stability of the solution set of quasi-variational inequalities and optimal control [pdf]
    with M. Hintermüller and C. N. Rautenberg, accepted (2020).
  3. Recent trends and views on elliptic quasi-variational inequalities [pdf]
    with M. Hintermüller and C. N. Rautenberg, In: Hintermüller M., Rodrigues J. (eds) Topics in Applied Analysis and Optimisation. CIM Series in Mathematical Sciences. Springer, Cham (2019).
  4. Directional differentiability for elliptic quasi-variational inequalities of obstacle type [pdf]
    with M. Hintermüller and C. N. Rautenberg, Calc. Var. (2019) 58: 39.
  5. A coupled ligand-receptor bulk-surface system on a moving domain: well posedness, regularity and convergence to equilibrium [pdf]
    with C.M. Elliott and J. Terra, SIAM J. Math. Anal., 50(2) (2018), 1544–1592.
  6. Well-posedness of a fractional porous medium equation on an evolving surface [pdf]
    with C.M. Elliott, Nonlinear Anal. 137 (2016), 3–42.
  7. A Stefan problem on an evolving surface [pdf]
    with C.M. Elliott, Phil. Trans. R. Soc. A 373:20140279 (2015).
  8. On some linear parabolic PDEs on moving hypersurfaces [pdf]
    with C.M. Elliott and B. Stinner, Interfaces Free Bound. 17 (2015), 157–187.
  9. An abstract framework for parabolic PDEs on evolving spaces [pdf]
    with C.M. Elliott and B. Stinner, Port. Math. 72 (2015), 1–46.
Selected Events
21 – 25 Jan 2019 Oberwolfach workshop on Surface, Bulk, and Geometric Partial Differential Equations: Interfacial, stochastic, non-local and discrete structures
24 Nov 2018 Central European Set-Valued and Variational Analysis Meeting, U Marburg
1 – 3 Oct 2018 DFG SPP1962 annual meeting, Kremmen
8 – 13 Apr 2018 Oberwolfach workshop on Challenges in Optimal Control of Nonlinear PDE-Systems
19 – 23 Mar 2018 GAMM annual meeting, Munich
11 – 14 Oct 2017 Summer school on Nonsmooth Structures in Mathematical Models, WIAS Berlin
9 – 11 Oct 2017 DFG SPP1962 annual meeting, Kremmen
22 – 28 Jan 2017 Oberwolfach workshop on Emerging Developments in Interfaces and Free Boundaries
27 – 28 Oct 2016 DFG SPP1962 kick-off meeting, WIAS Berlin
29 Nov – 5 Dec 2015 Oberwolfach seminar on Geometric Partial Differential Equations: Surface and Bulk Processes
24 – 30 May 2015 Oberwolfach seminar on Shapes and Patterns: Analysis and Simulation
6 – 10 Jan 2014 Isaac Newton Institute school on Free Boundary Problems and Related Topics
17 – 21 Jun 2013 International conference on Recent advances in PDEs and applications, Università degli Studi di Milano
You can email me at