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

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

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

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

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

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