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Number of items: 8.
Journal Article
Carrillo, Jose A., DΓΌring, 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.
McCormick, David S., Olson, Eric J., Robinson, James C., Rodrigo Diez, JosΓ© L., Vidal-LΓ³pez, 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, JosΓ© 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.
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.
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.
Thesis
McCormick, David S. (2014) Existence and uniqueness theory for MHD systems. PhD thesis, University of Warwick.
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