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Abstract
We analyze the large-time behavior of various kinetic models for the redistribution of wealth in simple market economies introduced in the pertinent literature in recent years. As specific… (More)

A new approach to the construction of entropies and entropy productions for a large class of nonlinear evolutionary PDEs of even order in one space dimension is presented. The task of proving entropy… (More)

- Ansgar Jüngel, Daniel Matthes
- SIAM J. Math. Analysis
- 2008

The logarithmic fourth-order equation $\partial_t u + \frac12\sum_{i,j=1}^d\partial_{ij}^2(u\partial_{ij}^2\log u) = 0,$ called the Derrida–Lebowitz–Speer–Spohn equation, with periodic boundary… (More)

Abstract In this paper, we establish a novel approach to proving existence of non-negative weak solutions for degenerate parabolic equations of fourth order, like the Cahn–Hilliard and certain thin… (More)

A recent application of the kinetic theory for many particle systems
is the description of the redistribution of wealth among trading agents in a simple market economy.
This paper provides an… (More)

We consider a nonlinear degenerate convection–diffusion equation with inhomogeneous convection and prove that its entropy solutions in the sense of Kružkov are obtained as the—a posteriori… (More)

We introduce Wasserstein-like dynamical transport distances between vector-valued densities on $${\mathbb {R}}$$R. The mobility function from the scalar theory is replaced by a mobility matrix, that… (More)

- Daniel Matthes, Tatiana Wiktorowicz, +4 authors Axel Rethwilm
- Journal of virology
- 2011

Foamy virus (FV) capsid proteins have few lysines. Basic residues are almost exclusively represented by arginines indicating positive selective pressure. To analyze the possible functions of this… (More)

- Bertram Düring, Daniel Matthes, Giuseppe Toscani
- Physical review. E, Statistical, nonlinear, and…
- 2008

Kinetic equations modelling the redistribution of wealth in simple market economies is one of the major topics in the field of econophysics. We present a unifying approach to the qualitative study… (More)

- Ansgar Jüngel, Daniel Matthes, Josipa Pina Milisic
- SIAM Journal of Applied Mathematics
- 2006

New quantum hydrodynamic equations are derived from a Wigner–Boltzmann model, using the quantum entropy minimization method recently developed by Degond and Ringhofer. The model consists of… (More)