Interaction-Force Transport Gradient Flows E Gladin, P Dvurechensky, A Mielke, JJ Zhu arXiv preprint arXiv:2405.17075, 2024 | | 2024 |
On the equilibrium solutions in a model for electro-energy-reaction-diffusion systems K Hopf, M Kniely, A Mielke arXiv preprint arXiv:2405.17289, 2024 | | 2024 |
A general thermodynamical model for finitely-strained continuum with inelasticity and diffusion, its GENERIC derivation in Eulerian formulation, and some application A Mielke, T Roubíček arXiv preprint arXiv:2404.10126, 2024 | | 2024 |
Deriving a GENERIC system from a Hamiltonian system A Mielke, MA Peletier, J Zimmer arXiv preprint arXiv:2404.09284, 2024 | 2 | 2024 |
Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults A Mielke, T Roubíček Interfaces and Free Boundaries 26 (2), 245-282, 2024 | 1 | 2024 |
Traveling fronts in a reaction–diffusion equation with a memory term A Mielke, S Reichelt Journal of Dynamics and Differential Equations 36 (Suppl 1), 487-513, 2024 | 3 | 2024 |
On self-similar patterns in coupled parabolic systems as non-equilibrium steady states A Mielke, S Schindler Chaos: An Interdisciplinary Journal of Nonlinear Science 34 (1), 2024 | 1 | 2024 |
Non-equilibrium steady states as saddle points and EDP-convergence for slow-fast gradient systems A Mielke Journal of Mathematical Physics 64 (12), 2023 | 1 | 2023 |
Fine Properties of Geodesics and Geodesic -Convexity for the Hellinger–Kantorovich Distance M Liero, A Mielke, G Savaré Archive for Rational Mechanics and Analysis 247 (6), 112, 2023 | 5 | 2023 |
Symmetries in Transmission Electron Microscopy images of semiconductor nanostructures with strain A Maltsi, A Mielke, T Koprucki 2023 International Conference on Numerical Simulation of Optoelectronic …, 2023 | | 2023 |
On time-splitting methods for gradient flows with two dissipation mechanisms A Mielke, R Rossi, A Stephan arXiv preprint arXiv:2307.16137, 2023 | 2 | 2023 |
An introduction to the analysis of gradients systems A Mielke arXiv preprint arXiv:2306.05026, 2023 | 6 | 2023 |
On two coupled degenerate parabolic equations motivated by thermodynamics A Mielke Journal of Nonlinear Science 33 (3), 42, 2023 | 9 | 2023 |
Balanced-Viscosity solutions to infinite-dimensional multi-rate systems A Mielke, R Rossi Archive for Rational Mechanics and Analysis 247 (3), 53, 2023 | 8 | 2023 |
A model of gravitational differentiation of compressible self-gravitating planets A Mielke, T Roubicek, U Stefanelli arXiv preprint arXiv:2305.06232, 2023 | 1 | 2023 |
Convergence to self-similar profiles in reaction-diffusion systems A Mielke, S Schindler arXiv preprint arXiv:2303.01364, 2023 | 2 | 2023 |
Existence of similarity profiles for diffusion equations and systems A Mielke, S Schindler arXiv preprint arXiv:2301.10360, 2023 | | 2023 |
Relating a rate-independent system and a gradient system for the case of one-homogeneous potentials A Mielke Journal of Dynamics and Differential Equations 34 (4), 3143-3164, 2022 | 1 | 2022 |
Symmetries in transmission electron microscopy imaging of crystals with strain T Koprucki, A Maltsi, A Mielke Proceedings of the Royal Society A 478 (2267), 20220317, 2022 | 4 | 2022 |
A new approach to sideband-instabilities using the principle of reduced instability A Mielke Nonlinear dynamics and pattern formation in the natural environment, 206-222, 2022 | 37 | 2022 |