## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

KRM

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 analytical investigation of
the particular model with

*quenched saving propensities*, which has been introduced by Chakrabarti, Chatterjee and Manna [11]. We prove uniqueness and dynamical stability of the stationary solution to the underlying Boltzmann equation, and provide estimates on the rate of equilibration. As one main result, we obtain that realistic steady wealth distributions with Pareto tail are only algebraically stable in this framework.
DCDS-B

We propose a method for numerical integration of Wasserstein gradient flows
based on the classical minimizing movement scheme.
In each time step, the discrete approximation is obtained as the solution
of a constrained quadratic minimization problem on a finite-dimensional function space.
Our method is applied to the nonlinear fourth-order Derrida-Lebowitz-Speer-Spohn equation,
which arises in quantum semiconductor theory.
We prove well-posedness of the scheme and derive a priori estimates on the discrete solution.
Furthermore, we present numerical results which indicate
second-order convergence and unconditional stability of our scheme.
Finally, we compare these results to those
obtained from different semi- and fully implicit finite difference discretizations.

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