Alexander Mielke

Orcid: 0000-0002-4583-3888

According to our database1, Alexander Mielke authored at least 20 papers between 1995 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

Timeline

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Bibliography

2023
On Two Coupled Degenerate Parabolic Equations Motivated by Thermodynamics.
J. Nonlinear Sci., June, 2023

2022
Global Existence Analysis of Energy-Reaction-Diffusion Systems.
SIAM J. Math. Anal., 2022

2021
On the Darwin-Howie-Whelan Equations for the Scattering of Fast Electrons Described by the Schrödinger Equation.
SIAM J. Appl. Math., 2021

2018
Decay to Equilibrium for Energy-Reaction-Diffusion Systems.
SIAM J. Math. Anal., 2018

Coexistence of Hamiltonian-Like and Dissipative Dynamics in Rings of Coupled Phase Oscillators with Skew-Symmetric Coupling.
SIAM J. Appl. Dyn. Syst., 2018

Convergence to Equilibrium in Energy-Reaction-Diffusion Systems Using Vector-Valued Functional Inequalities.
J. Nonlinear Sci., 2018

2017
Non-equilibrium Thermodynamical Principles for Chemical Reactions with Mass-Action Kinetics.
SIAM J. Appl. Math., 2017

2016
Optimal Transport in Competition with Reaction: The Hellinger-Kantorovich Distance and Geodesic Curves.
SIAM J. Math. Anal., 2016

2014
An Approach to Nonlinear Viscoelasticity via Metric Gradient Flows.
SIAM J. Math. Anal., 2014

Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion.
Networks Heterog. Media, 2014

2012
Quasi-Static Small-Strain Plasticity in the Limit of Vanishing Hardening and Its Numerical Approximation.
SIAM J. Numer. Anal., 2012

2010
Error Estimates for Space-Time Discretizations of a Rate-Independent Variational Inequality.
SIAM J. Numer. Anal., 2010

High-frequency averaging in semi-classical Hartree-type equations.
Asymptot. Anal., 2010

2009
On Existence and Approximation for a 3D Model of Thermally Induced Phase Transformations in Shape-Memory Alloys.
SIAM J. Math. Anal., 2009

Global Existence for Rate-Independent Gradient Plasticity at Finite Strain.
J. Nonlinear Sci., 2009

2007
Two-Scale Homogenization for Evolutionary Variational Inequalities via the Energetic Formulation.
SIAM J. Math. Anal., 2007

2004
Existence of Minimizers in Incremental Elasto-Plasticity with Finite Strains.
SIAM J. Math. Anal., 2004

2003
A Rate-Independent Model for Inelastic Behavior of Shape-Memory Alloys.
Multiscale Model. Simul., 2003

Convergence Results for a Coarsening Model Using Global Linearization.
J. Nonlinear Sci., 2003

1995
Asymptotic Behaviour of Solutions of Evolutionary Equations (M. I. Vishik).
SIAM Rev., 1995


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