Analysis of a viscoelastic phase separation model A Brunk, B Dünweg, H Egger, O Habrich, M Lukáčová-Medvid'ová, ... Journal of Physics: Condensed Matter 33 (23), 234002, 2021 | 19 | 2021 |
Global existence of weak solutions to viscoelastic phase separation part: I. Regular case A Brunk, M Lukáčová-Medvid’ová Nonlinearity 35 (7), 3417, 2022 | 13 | 2022 |
Modelling cell-cell collision and adhesion with the filament based lamellipodium model N Sfakianakis, D Peurichard, A Brunk, C Schmeiser arXiv preprint arXiv:1809.07852, 2018 | 10 | 2018 |
Global existence of weak solutions to viscoelastic phase separation: part II. Degenerate case A Brunk, M Lukáčová-Medvid’ová Nonlinearity 35 (7), 3459, 2022 | 9 | 2022 |
Systematic derivation of hydrodynamic equations for viscoelastic phase separation D Spiller, A Brunk, O Habrich, H Egger, M Lukáčová-Medvid’ová, ... Journal of Physics: Condensed Matter 33 (36), 364001, 2021 | 9 | 2021 |
Existence, regularity and weak-strong uniqueness for the three-dimensional Peterlin viscoelastic model A Brunk, Y Lu, M Lukacova-Medvidova arXiv preprint arXiv:2102.02422, 2021 | 9 | 2021 |
Chemotaxis and haptotaxis on cellular level A Brunk, N Kolbe, N Sfakianakis Theory, Numerics and Applications of Hyperbolic Problems I: Aachen, Germany …, 2018 | 4 | 2018 |
On existence, uniqueness and stability of solutions to Cahn–Hilliard/Allen–Cahn systems with cross-kinetic coupling A Brunk, H Egger, TD Oyedeji, Y Yang, BX Xu Nonlinear Analysis: Real World Applications 77, 104051, 2024 | 2 | 2024 |
Relative energy and weak–strong uniqueness of a two‐phase viscoelastic phase separation model A Brunk, M Lukáčová‐Medvid'ová ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2023 | 2 | 2023 |
Stability and discretization error analysis for the Cahn–Hilliard system via relative energy estimates A Brunk, H Egger, O Habrich, M Lukáčová-Medviďová ESAIM: Mathematical Modelling and Numerical Analysis 57 (3), 1297-1322, 2023 | 2 | 2023 |
Existence and weak-strong uniqueness for global weak solutions for the viscoelastic phase separation model in three space dimensions A Brunk arXiv preprint arXiv:2208.01374, 2022 | 2 | 2022 |
Relative energy estimates for the Cahn-Hilliard equation with concentration dependent mobility A Brunk, H Egger, O Habrich, M Lukacova-Medvidova arXiv preprint arXiv:2102.05704, 2021 | 2 | 2021 |
Stability, convergence, and sensitivity analysis of the FBLM and the corresponding FEM N Sfakianakis, A Brunk Bulletin of Mathematical Biology 80, 2789-2827, 2018 | 2 | 2018 |
On uniqueness and stable estimation of multiple parameters in the Cahn–Hilliard equation A Brunk, H Egger, O Habrich Inverse Problems 39 (6), 065002, 2023 | 1 | 2023 |
A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn-Hilliard Navier-Stokes system A Brunk, H Egger, O Habrich, M Lukacova-Medvidova arXiv preprint arXiv:2209.03849, 2022 | 1 | 2022 |
Viscoelastic phase separation: Well-posedness and numerical analysis A Brunk Dissertation, Mainz, Johannes Gutenberg-Universität Mainz, 2022, 2022 | 1 | 2022 |
Robust a posteriori error control for the Allen-Cahn equation with variable mobility A Brunk, J Giesselmann, M Lukacova-Medvidova arXiv preprint arXiv:2403.08898, 2024 | | 2024 |
Structure-preserving approximation for the non-isothermal Cahn-Hilliard-Navier-Stokes system A Brunk, D Schumann arXiv preprint arXiv:2402.00147, 2024 | | 2024 |
Variational approximation for a non-isothermal coupled phase-field system: Structure-preservation & Nonlinear stability A Brunk, O Habrich, TD Oyedeji, Y Yang, BX Xu arXiv preprint arXiv:2312.14566, 2023 | | 2023 |
A second-order structure-preserving discretization for the Cahn-Hilliard/Allen-Cahn system with cross-kinetic coupling A Brunk, H Egger, O Habrich arXiv preprint arXiv:2308.01638, 2023 | | 2023 |