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Research Training Group

Energy, Entropy, and Dissipative Dynamics

Funded by German Research Foundation (DFG)


No. 2019.01

A variational time discretization for compressible Euler equations
F. Cavalletti, M. Sedjro, and M. Westdickenberg
Subject: Compressible gas dynamics, optimal transport

No. 2018.03

One-dimensional granular system with memory effects
C. Perrin and M. Westdickenberg
Subject: Granular flows, pressureless gas dynamics

No. 2018.02

Symmetric critical knots for O'Hara's energies
A. Gilsbach and H. von der Mosel
Subject: Knot energy, symmetric criticality, torus knots

No. 2018.01

Optimal L^1-type relaxation rates for the Cahn-Hilliard equation on the line
F. Otto, S. Scholtes, and M. G. Westdickenberg
Subject: Energy–energy–dissipation, nonlinear pde, gradient flow, relaxation rates

No. 2017.02

The elastic trefoil is the doubly covered circle
H. Gerlach, P. Reiter, and H. von der Mosel
Subject: Knots, torus knots, bending energy, ropelength, energy minimiers

No. 2017.01

Existence and properties of certain critical points of the Cahn-Hilliard energy
M. Gelantalis, A. Wagner, and M. G. Westdickenberg
Subject: Variational methods for second-order elliptic equations, homogenization, equations in media with periodic structure

No. 2015.01

Compactness and isotopy finiteness for submanifolds with uniformly bounded geometric curvature energies
S. Kolasinski, P. Strzelecki, and H. von der Mosel
Subject: Menger curvature, tangent-point energies, compactness, semicontinuity, isotopy finiteness, topological constraints

No. 2014.02

Invariant measure of the stochastic Allen-Cahn equation: the regime of small noise and large system size
F. Otto, H. Weber, and M. G. Westdickenberg
Subject: Stochastic partial differential equation, large deviations, invariant measure

No. 2014.01

Flows on networks: recent results and perspectives
A. Bressan, S. Čanić, M. Garavello, M. Herty, and B. Piccoli
Subject: Networks, balance laws, control problems

No. 2013.02

Tangent-point repulsive potentials for a class of non-smooth m-dimensional sets in R^n. Part I: Smoothing and self-avoidance effects
P. Strzelecki and H. von der Mosel
Subject: Non-smooth sets, repulsive potentials, curvature energies, geometric Sobolev–Morrey theorem

No. 2013.01

Menger curvature as a knot energy
P. Strzelecki and H. von der Mosel
Subject: Menger curvature, knot energies

No. 2011.01

Integral Menger curvature for surfaces
P. Strzelecki and H. von der Mosel
Subject: Menger curvature, surface theory, geometric Morrey–Sobolev embedding, uniform Ahlfors regularity, self-avoidance energy

No. 2008.02

Rare events in stochastic partial differential equations on large spatial domains
E. Vanden-Eijnden and M. G. Westdickenberg
Subject: Rare events, metastability, nucleation, phase transformation, small noise, large deviation theory, spatially extended system, stochastic partial differential equation

No. 2008.01

On 2×2 conservation laws at a junction
R. M. Colombo, M. Herty, and V. Sachers
Subject: Hyperbolic systems of conservation laws, p-system, St. Venant equations

No. 2007.02

Finite energy solutions to the isentropic Euler equations with geometric effects
P. G. LeFloch and M. Westdickenberg
Subject: Isentropic Euler equations, spherical symmetry, global existence

No. 2007.01

Existence of Solutions for Supply Chain Models Based on Partial Differential Equations
M. Herty, A. Klar, and B. Piccoli
Subject: Supply chains, networks, front tracking

No. 2006.01

Gas flow in pipeline networks
M. K. Banda, M. Herty, and A. Klar
Subject: Networks, Isothermal Euler equation, gas flow