Dr. Marcel Oliver

Adjunct Professor of Mathematics

School of Science

Constructor University Bremen gGmbH, Campus Ring 1, 28759 Bremen, Germany

Phone number

+49 421 200-3212

Fax number

+49 421 200-3103

Email Address

moliver@constructor.university

Office

Research I, Room 107

Website

http://math.jacobs-university.de/oliver/

Research Interests

Partial Differential Equations
Fluid Dynamics
Numerical Analysis

Selected Publications

Analyticity of solutions for a generalized Euler equation

CD Levermore, M Oliver

Journal of differential equations 133 (2), 321-339

Remark on the rate of decay of higher order derivatives for solutions to the Navier–Stokes equations in Rn

M Oliver, ES Titi

Journal of Functional Analysis 172 (1), 1-18

The complex Ginzburg-Landau equation as a model problem

CD Levermore, M Oliver

Dynamical Systems and Probabilistic Methods in Partial Differential …

Global well-posedness for models of shallow water in a basin with a varying bottom

CD Levermore, M Oliver, ES Titi

Indiana University Mathematics Journal, 479-510

The vortex blob method as a second-grade non-Newtonian fluid

M Oliver, S Shkoller

Taylor & Francis Group 26 (1-2), 295-314

Global well-posedness for the lake equations

CD Levermore, M Oliver, ES Titi

Physica D: Nonlinear Phenomena 98 (2-4), 492-509

On the domain of analyticity for solutions of second order analytic nonlinear differential equations

M Oliver, ES Titi

Journal of Differential Equations 174 (1), 55-74

Approximate momentum conservation for spatial semidiscretizations of semilinear wave equations

M Oliver, M West, C Wulff

Numerische Mathematik 97 (3), 493-535

Analyticity of the attractor and the number of determining nodes for a weakly damped driven nonlinear Schrödinger equation

M Oliver, ES Titi

Indiana University mathematics journal, 49-73

Classical solutions for a generalized Euler equation in two dimensions

M Oliver

Journal of Mathematical Analysis and Applications 215 (2), 471-484

Length scales in solutions of the complex Ginzburg-Landau equation

MV Bartuccelli, JD Gibbon, M Oliver

Physica D: Nonlinear Phenomena 89 (3-4), 267-286

Boltzmann's Dilemma: An Introduction to Statistical Mechanics via the Kac Ring

GA Gottwald, M Oliver

SIAM review 51 (3), 613-635

Variational asymptotics for rotating shallow water near geostrophy: a transformational approach

M Oliver

Journal of Fluid Mechanics 551, 197-234

Sustaining diversity in trait-based models of phytoplankton communities

A Merico, G Brandt, SL Smith, M Oliver

Frontiers in Ecology and Evolution 2, 59

Parcel Eulerian–Lagrangian fluid dynamics of rotating geophysical flows

O Bokhove, M Oliver

Proceedings of the Royal Society A: mathematical, physical and engineering …

Ocean kinetic energy backscatter parametrizations on unstructured grids: Impact on mesoscale turbulence in a channel

S Juricke, S Danilov, A Kutsenko, M Oliver

Ocean Modelling 138, 51-67

Ocean Kinetic Energy Backscatter Parametrization on Unstructured Grids: Impact on Global Eddy‐Permitting Simulations

S Juricke, S Danilov, N Koldunov, M Oliver, D Sidorenko

Journal of Advances in Modeling Earth Systems 12 (1)

Ocean kinetic energy backscatter parametrization on unstructured grids: Impact on global eddy‐permitting simulations

S Juricke, S Danilov, N Koldunov, M Oliver, D Sidorenko

Journal of Advances in Modeling Earth Systems 12 (1), e2019MS001855

Distribution-valued initial data for the complex Ginzburg-Landau equation

C David Levermore, M Oliver

Communications in Partial Differential Equations 22 (1-2), 39-48

Numerical evaluation of the Evans function by Magnus integration

ND Aparicio, SJA Malham, M Oliver

BIT Numerical Mathematics 45 (2), 219-258

Publications on Scopus

Advancing Eddy Parameterizations: Dynamic Energy Backscatter and the Role of Subgrid Energy Advection and Stochastic Forcing

Bagaeva, E. Danilov, S. Oliver, M. Juricke, S.

Journal of Advances in Modeling Earth Systems 2024 16 (4)

On the relation between Fourier and Walsh–Rademacher spectra for random fields

Kutsenko, A. Danilov, S. Juricke, S. Oliver, M.

Applied and Computational Harmonic Analysis 2024 68

QUASI-CONVERGENCE OF AN IMPLEMENTATION OF OPTIMAL BALANCE BY BACKWARD-FORWARD NUDGING

Masur, G.T. Mohamad, H. Oliver, M.

Multiscale Modeling and Simulation 2023 21 (2) pp. 624-640

Long-time asymptotics of solutions to the Keller–Rubinow model for Liesegang rings in the fast reaction limit

Darbenas, Z. van der Hout, R. Oliver, M.

Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire 2023 39 (6) pp. 1413-1458

A comparison of methods to balance geophysical flows

Chouksey, M. Eden, C. Masur, G.T. Oliver, M.

Journal of Fluid Mechanics 2023 971

Conditional uniqueness of solutions to the Keller–Rubinow model for Liesegang rings in the fast reaction limit

Darbenas, Z. van der Hout, R. Oliver, M.

Journal of Differential Equations 2023 347 pp. 212-245

Numerical integration of functions of a rapidly rotating phase

Mohamad, H. Oliver, M.

SIAM Journal on Numerical Analysis 2021 59 (4) pp. 2310-2319

Variational balance models for the three-dimensional Euler-Boussinesq equations with full Coriolis force

Özden, G. Oliver, M.

Physics of Fluids 2021 33 (7)

Breakdown of Liesegang precipitation bands in a simplified fast reaction limit of the Keller–Rubinow model

Darbenas, Z. Oliver, M.

Nonlinear Differential Equations and Applications 2021 28 (1)

On the Existence of Solutions to a Bi-Planar Monge-Ampère Equation

Akramov, I. Oliver, M.

Acta Mathematica Scientia 2020 40 (2) pp. 379-388

Ocean Kinetic Energy Backscatter Parametrization on Unstructured Grids: Impact on Global Eddy-Permitting Simulations

Juricke, S. Danilov, S. Koldunov, N. Oliver, M. Sidorenko, D.

Journal of Advances in Modeling Earth Systems 2020 12 (1)

Uniqueness of solutions for weakly degenerate cordial Volterra integral equations

Darbenas, Z. Oliver, M.

Journal of Integral Equations and Applications 2019 31 (3) pp. 307-327

Introduction

Badin, G. Behrens, J. Franzke, C. Oliver, M. Rademacher, J.

Geophysical and Astrophysical Fluid Dynamics 2019 113 (5-6) pp. 425-427

A direct construction of a slow manifold for a semilinear wave equation of Klein–Gordon type

Mohamad, H. Oliver, M.

Journal of Differential Equations 2019 267 (1) pp. 1-14

Ocean kinetic energy backscatter parametrizations on unstructured grids: Impact on mesoscale turbulence in a channel

Juricke, S. Danilov, S. Kutsenko, A. Oliver, M.

Ocean Modelling 2019 138 pp. 51-67

An estimate on the Bedrosian commutator in Sobolev space

Oliver, M.

Journal of Inequalities and Applications 2018 2018

Geometric Lagrangian averaged Euler-Boussinesq and primitive equations

Badin, G. Oliver, M. Vasylkevych, S.

Journal of Physics A: Mathematical and Theoretical 2018 51 (45)

H s-class construction of an almost invariant slow subspace for the Klein-Gordon equation in the non-relativistic limit

Mohamad, H. Oliver, M.

Journal of Mathematical Physics 2018 59 (5)

Optimal balance via adiabatic invariance of approximate slow manifolds

Gottwald, G.A. Mohamad, H. Oliver, M.

Multiscale Modeling and Simulation 2017 15 (4) pp. 1404-1422

Lagrangian averaging with geodesic mean

Oliver, M.

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2017 473 (2207)

Comparison of variational balance models for the rotating shallow water equations

Dritschel, D.G. Gottwald, G.A. Oliver, M.

Journal of Fluid Mechanics 2017 822 pp. 689-716

Exponentially accurate Hamiltonian embeddings of symplectic A-stable Runge-Kutta methods for Hamiltonian semilinear evolution equations

Wulff, C. Oliver, M.

Proceedings of the Royal Society of Edinburgh Section A: Mathematics 2016 146 (6) pp. 1265-1301

Generalized large-scale semigeostrophic approximations for the f-plane primitive equations

Oliver, M. Vasylkevych, S.

Journal of Physics A: Mathematical and Theoretical 2016 49 (18)

A variational derivation of the geostrophic momentum approximation

Oliver, M.

Journal of Fluid Mechanics 2014 751

Stability under Galerkin truncation of A-stable Runge-Kutta discretizations in time

Oliver, M. Wulff, C.

Proceedings of the Royal Society of Edinburgh Section A: Mathematics 2014 144 (3) pp. 603-636

Slow dynamics via degenerate variational asymptotics

Gottwald, G.A. Oliver, M.

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2014 470 (2170)

Sustaining diversity in trait-based models of phytoplankton communities

Merico, A. Brandt, G. Smith, S.L. Oliver, M.

Frontiers in Ecology and Evolution 2014 2 (OCT)

Generalized LSG models with spatially varying Coriolis parameter

Oliver, M. Vasylkevych, S.

Geophysical and Astrophysical Fluid Dynamics 2013 107 (3) pp. 259-276

On the rate of convergence of the Hamiltonian particle-mesh method

Peeters, B. Oliver, M. Bokhove, O. Molchanov, V.

Lecture Notes in Computational Science and Engineering 2013 89 LNCSE pp. 25-43

Convergence of the hamiltonian particle-mesh method for barotropic fluid flow

Molchanov, V. Oliver, M.

Mathematics of Computation 2013 82 (282) pp. 861-891

Global Well-Posedness for the Generalized Large-Scale Semigeostrophic Equations

Çalik, M. Oliver, M. Vasylkevych, S.

Archive for Rational Mechanics and Analysis 2013 207 (3) pp. 969-990

Weak solutions for generalized large-scale semigeostrophic equations

Çalik, M. Oliver, M.

Communications on Pure and Applied Analysis 2013 12 (2) pp. 939-955

A-stable Runge-Kutta methods for semilinear evolution equations

Oliver, M. Wulff, C.

Journal of Functional Analysis 2012 263 (7) pp. 1981-2023

Hamiltonian formalism for models of rotating shallow water in semigeostrophic scaling

Oliver, M. Vasylkevych, S.

Discrete and Continuous Dynamical Systems 2011 31 (3) pp. 827-846

Boltzmann's dilemma: An introduction to statistical mechanics via the Kac ring

Gottwald, G.A. Oliver, M.

SIAM Review 2009 51 (3) pp. 613-635

Transparent boundary conditions as dissipative subgrid closures for the spectral representation of scalar advection by shear flows

Oliver, M. Bühler, O.

Journal of Mathematical Physics 2007 48 (6)

Parcel Eulerian-Lagrangian fluid dynamics of rotating geophysical flows

Bokhove, O. Oliver, M.

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 2006 462 (2073) pp. 2575-2592

Variational asymptotics for rotating shallow water near geostrophy: A transformational approach

Oliver, M.

Journal of Fluid Mechanics 2006 551 pp. 197-234

Numerical evaluation of the evans function by Magnus integration

Aparicio, N.D. Malham, S.J.A. Oliver, M.

BIT Numerical Mathematics 2005 45 (2) pp. 219-258

Approximate momentum conservation for spatial semidiscretizations of semilinear wave equations

Oliver, M. West, M. Wulff, C.

Numerische Mathematik 2004 97 (3) pp. 493-535

Marcel Oliver on Google Scholar

Marcel Oliver on ResearchGate