output
19992018
most citedOn the Fattorini Criterion for Approximate Controllability and Stabilizability of Parabolic Systems

54 citations

17 papers

math.NA2018★ 2 cited

Numerical Complete Solution for Random Genetic Drift by Energetic Variational Approach

Chenghua Duan, Chun Liu, Cheng Wang +1

In this paper, we focus on numerical solutions for random genetic drift problem, which is governed by a degenerated convection-dominated parabolic equation. Due to the fixation phe…

math.OC2016

A FE-ADMM algorithm for Lavrentiev-regularized state-constrained elliptic control problem

Zixuan Chen, Xiaoliang Song, Xuping Zhang +1

In this paper, elliptic control problems with pointwise box constraints on the state is considered, where the corresponding Lagrange multipliers in general only represent regular B…

math.NA2016

Sovability of the mixed Formulation for Darcy-Forchheimer Flow in Porous Media

Peter Knabner, Gerhard Summ

We consider the mixed formulation of the equations governing Darcy-Forchheimer flow in porous media. We prove existence and uniqueness of a solution for the stationary problem and…

math.OC2015★ 8 cited

Boundary Control of Reaction-Diffusion PDEs on Balls in Spaces of Arbitrary Dimensions

Rafael Vazquez, Miroslav Krstic

An explicit output-feedback boundary feedback law is introduced that stabilizes an unstable linear constant-coefficient reaction-diffusion equation on an -ball (which in 2-D red…

math.NA2015★ 1 cited

Applications of Wavelet Bases to The Numerical Solutions of Fractional PDEs

Zhijiang Zhang, Weihua Deng

For describing the probability distribution of the positions and times of particles performing anomalous motion, fractional PDEs are derived from the continuous time random walk mo…

astro-ph.EP2015

Exoplanets with Gaia: Synergies in the Making

A. Sozzetti

The era of high-precision astrometry has dawned upon us. The potential of Gaia as-level precision in positional measurements is about to be unleashed in the field of extrasolar…