2017

Carrillo, Jose A., Düring, Bertram, Matthes, Daniel and McCormick, David S. (2017) A Lagrangian scheme for the solution of nonlinear diffusion equations using moving simplex meshes. Journal of Scientific Computing, 75 (3). pp. 1463-1499. doi:10.1007/s10915-017-0594-5

Fefferman, Charles L., McCormick, David S., Robinson, James C. and Rodrigo, Jose L. (2017) Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces. Archive for Rational Mechanics and Analysis, 223 (2). pp. 677-691. doi:10.1007/s00205-016-1042-7 ISSN 0003-9527.

2016

McCormick, David S., Olson, Eric J., Robinson, James C., Rodrigo Diez, José L., Vidal-López, Alejandro and Zhou, Yi (2016) Lower bounds on blowing-up solutions of the three-dimensional Navier--Stokes equations in $\dot H^{3/2}$, $\dot H^{5/2}$, and $\dot B^{5/2}_{2,1}$. SIAM Journal on Mathematical Analysis, 48 (3). pp. 2119-2132. doi:10.1137/15M1017776 ISSN 0036-1410.

Chemin, Jean-Yves, McCormick, David S., Robinson, James C. and Rodrigo Diez, José L. (2016) Local existence for the non-resistive MHD equations in Besov spaces. Advances in Mathematics, 286 . pp. 1-31. doi:10.1016/j.aim.2015.09.004 ISSN 0001-8708.

2014

McCormick, David S. (2014) Existence and uniqueness theory for MHD systems. PhD thesis, University of Warwick.

Fefferman, Charles L., McCormick, David S., Robinson, James C. and Rodrigo, Jose L. (2014) Higher order commutator estimates and local existence for the non-resistive MHD equations and related models. Journal of Functional Analysis, Volume 267 (Number 4). pp. 1035-1056. doi:10.1016/j.jfa.2014.03.021 ISSN 0022-1236.

McCormick, David S., Robinson, James C. and Rodrigo, Jose L. (2014) Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation. Archive for Rational Mechanics and Analysis, Volume 214 (Number 2). pp. 503-523. doi:10.1007/s00205-014-0760-y ISSN 0003-9527.

2013

Brett, Charles E. A., Lam, Kei Fong, Law, K. J. H., McCormick, D. S., Scott, Michael R. and Stuart, A. M. (2013) Accuracy and stability of filters for dissipative PDEs. Physica D: Nonlinear Phenomena, Volume 245 (Number 1). pp. 34-45. doi:10.1016/j.physd.2012.11.005 ISSN 0167-2789.