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IMA Journal of Applied Mathematics Advance Access originally published online on November 6, 2007
IMA Journal of Applied Mathematics 2007 72(6):912-922; doi:10.1093/imamat/hxm053
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© The Author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Pseudoparabolic equations with convection

Mariya Ptashnyk{dagger}

Mathematical Institute, University of Oxford, 24–29 St Giles, Oxford, OX1 3LB, UK

{dagger} Email: ptashnyk{at}maths.ox.ac.uk

Received on March 7, 2006; Revision received January 3, 2007. Accepted on September 17, 2007

The existence of solutions of pseudoparabolic equations with convection by using discretization along characteristics is shown. The uniqueness of the solution of a pseudoparabolic equation is proved for a linear elliptic part and for a space dimension N ≤ 4.

Keywords: pseudoparabolic equations; Rothe method; method of characteristics; convection–diffusion.


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