Adrian Montgomery Ruf

Doctoral Research Fellow - Differential Equations and Computational Mathematics

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Norwegian version of this page

Email adrianru@math.uio.no

Room 1210

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Visiting address Moltke Moes vei 35 Niels Henrik Abels hus 0851 OSLO

Postal address Postboks 1053 Blindern 0316 OSLO

Other affiliations Faculty of Mathematics and Natural Sciences (Student)

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Research Articles

A. M. Ruf, E. Sande and S. Solem, The optimal convergence rate of monotone schemes for conservation laws in the Wasserstein distance [arxiv]
J. Ridder and A. M. Ruf, A convergent finite difference scheme for the Ostrovsky–Hunter equation with Dirichlet boundary conditions [arxiv] [code]
A. M. Ruf, Convergence of a Full Discretization for a Second-Order Nonlinear Elastodynamic Equation in Isotropic and Anisotropic Orlicz Spaces [arxiv] [journal]

Since 2016: PhD student in Partial Differential Equations at the University of Oslo, Norway
2016: MSc Mathematics at the TU Berlin, Germany
2013: BSc Mathematics at the TU Berlin, Germany

Tags: Mathematics, Partial Differential Equations

Ruf, Adrian Montgomery (2017). Convergence of a full discretization for a second-order nonlinear elastodynamic equation in isotropic and anisotropic Orlicz spaces. Zeitschrift für Angewandte Mathematik und Physik. ISSN 0044-2275. 68:118(5), s 1- 24 . doi: 10.1007/s00033-017-0863-z Full text in Research Archive. Show summary
In this paper, we study a second-order, nonlinear evolution equation with damping arising in elastodynamics. The nonlinear term is monotone and possesses a convex potential but exhibits anisotropic and nonpolynomial growth. The appropriate setting for such equations is that of monotone operators in Orlicz spaces. Global existence of solutions in the sense of distributions is shown via convergence of the backward Euler scheme combined with an internal approximation. Moreover, we show uniqueness in a class of sufficiently smooth solutions and provide an a priori error estimate for the temporal semidiscretization.

Ruf, Adrian Montgomery (2018). The Ostrovsky-Hunter equation with Dirichlet boundary conditions.
Ruf, Adrian Montgomery (2018). The Ostrovsky-Hunter equation with Dirichlet boundary conditions.
Ruf, Adrian Montgomery (2017). Multiphase Flow in Pipelines.
Ruf, Adrian Montgomery (2017). What is a Researcher?.
Ruf, Adrian Montgomery & Liu, Qinghua (2017). The complete guide to a PhD for new PhD students by slightly less new PhD students.
Ruf, Adrian Montgomery (2016). A class of nonlinear evolution equations of second order.

Published Aug. 22, 2016 1:42 PM - Last modified Aug. 15, 2018 1:04 PM