# Entropic regularisation of non-gradient systems

@inproceedings{Adams2021EntropicRO, title={Entropic regularisation of non-gradient systems}, author={Daniel Adams and Manh Hong Duong and Gonçalo Dos Reis}, year={2021} }

a Maxwell Institute for Mathematical Sciences, School of Mathematics, University of Edinburgh, Edinburgh EH9 3FD, UK. Email: d.t.s.adams@sms.ed.ac.uk b School of Mathematics, University of Birmingham, Birmingham B15 2TT, UK. Email: h.duong@bham.ac.uk c School of Mathematics, University of Edinburgh, The King’s Buildings, Edinburgh, UK. d Centro de Matemática e Aplicações (CMA), FCT, UNL, Portugal. Email: G.dosReis@ed.ac.uk

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## 3 Citations

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This work develops a straightforward entropy regularised splitting scheme for degenerate non-local non-gradient systems for optimal transport problems and illustrates the generality of the work by providing a number of examples, including the Regularized Vlasov-Poisson-Fokker-Planck equation.

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