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Aaron Brunk
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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
192021
Global existence of weak solutions to viscoelastic phase separation part: I. Regular case
A Brunk, M Lukáčová-Medvid¢ová
Nonlinearity 35 (7), 3417, 2022
132022
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
102018
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
92021
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
92021
Global existence of weak solutions to viscoelastic phase separation: part II. Degenerate case
A Brunk, M Lukáčová-Medvid¢ová
Nonlinearity 35 (7), 3459, 2022
82022
Chemotaxis and haptotaxis on cellular level
A Brunk, N Kolbe, N Sfakianakis
Theory, Numerics and Applications of Hyperbolic Problems I: Aachen, Germany …, 2018
42018
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
22024
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
22023
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
22023
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
22022
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
22021
Stability, convergence, and sensitivity analysis of the FBLM and the corresponding FEM
N Sfakianakis, A Brunk
Bulletin of Mathematical Biology 80, 2789-2827, 2018
22018
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
12023
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
12022
Viscoelastic phase separation: Well-posedness and numerical analysis
A Brunk
Dissertation, Mainz, Johannes Gutenberg-Universität Mainz, 2022, 2022
12022
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
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Articles 1–20