Analysis of a Viscoelastic Phase Separation Model
Authors: A Brunk, B Dünweg, H Egger, O Habrich, M Lukáčová-Medvid’ová, …
Journal: Journal of Physics: Condensed Matter 33 (23), 234002, 2021
Citations: 19
Global Existence of Weak Solutions to Viscoelastic Phase Separation Part: I. Regular Case
Authors: A Brunk, M Lukáčová-Medvid’ová
Journal: Nonlinearity 35 (7), 3417, 2022
Citations: 14
Modelling Cell-Cell Collision and Adhesion with the Filament Based Lamellipodium Model
Authors: N Sfakianakis, D Peurichard, A Brunk, C Schmeiser
Journal: arXiv preprint arXiv:1809.07852, 2018
Citations: 10
Global Existence of Weak Solutions to Viscoelastic Phase Separation: Part II. Degenerate Case
Authors: A Brunk, M Lukáčová-Medvid’ová
Journal: Nonlinearity 35 (7), 3459, 2022
Citations: 9
Systematic Derivation of Hydrodynamic Equations for Viscoelastic Phase Separation
Authors: D Spiller, A Brunk, O Habrich, H Egger, M Lukáčová-Medvid’ová, …
Journal: Journal of Physics: Condensed Matter 33 (36), 364001, 2021
Citations: 9
Existence, Regularity and Weak-Strong Uniqueness for the Three-Dimensional Peterlin Viscoelastic Model
Authors: A Brunk, Y Lu, M Lukacova-Medvidova
Journal: arXiv preprint arXiv:2102.02422, 2021
Citations: 9
Chemotaxis and Haptotaxis on Cellular Level
Authors: A Brunk, N Kolbe, N Sfakianakis
Journal: Theory, Numerics and Applications of Hyperbolic Problems I: Aachen, Germany, …
Citations: 4
On Existence, Uniqueness and Stability of Solutions to Cahn–Hilliard/Allen–Cahn Systems with Cross-Kinetic Coupling
Authors: A Brunk, H Egger, TD Oyedeji, Y Yang, BX Xu
Journal: Nonlinear Analysis: Real World Applications 77, 104051, 2024
Citations: 3
Stability and Discretization Error Analysis for the Cahn–Hilliard System via Relative Energy Estimates
Authors: A Brunk, H Egger, O Habrich, M Lukáčová-Medviďová
Journal: ESAIM: Mathematical Modelling and Numerical Analysis 57 (3), 1297-1322, 2023
Citations: 3
Existence and Weak-Strong Uniqueness for Global Weak Solutions for the Viscoelastic Phase Separation Model in Three Space Dimensions
Authors: A Brunk
Journal: arXiv preprint arXiv:2208.01374, 2022
Citations: 3
Relative Energy and Weak–Strong Uniqueness of a Two‐Phase Viscoelastic Phase Separation Model
Authors: A Brunk, M Lukáčová‐Medvid’ová
Journal: ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2023
Citations: 2
Viscoelastic Phase Separation: Well-Posedness and Numerical Analysis
Authors: A Brunk
Journal: Dissertation, Mainz, Johannes Gutenberg-Universität Mainz, 2022
Citations: 2
Relative Energy Estimates for the Cahn-Hilliard Equation with Concentration Dependent Mobility
Authors: A Brunk, H Egger, O Habrich, M Lukacova-Medvidova
Journal: arXiv preprint arXiv:2102.05704, 2021
Citations: 2
Stability, Convergence, and Sensitivity Analysis of the FBLM and the Corresponding FEM
Authors: N Sfakianakis, A Brunk
Journal: Bulletin of Mathematical Biology 80, 2789-2827, 2018
Citations: 2
Fundamentals of the Oldroyd-B Model Revisited: Tensorial vs. Vectorial Theory
Authors: A Brunk, J Chaudhuri, M Lukacova-Medvidova, B Duenweg
Journal: arXiv preprint arXiv:2308.01326, 2023
Citations: 1
On Uniqueness and Stable Estimation of Multiple Parameters in the Cahn–Hilliard Equation
Authors: A Brunk, H Egger, O Habrich
Journal: Inverse Problems 39 (6), 065002, 2023
Citations: 1
A Second-Order Fully-Balanced Structure-Preserving Variational Discretization Scheme for the Cahn-Hilliard Navier-Stokes System
Authors: A Brunk, H Egger, O Habrich, M Lukacova-Medvidova
Journal: arXiv preprint arXiv:2209.03849, 2022
Citations: 1
Structure-Preserving Approximation of the Cahn-Hilliard-Biot System
Authors: A Brunk, M Fritz
Journal: arXiv preprint arXiv:2407.12349, 2024
Error Analysis for a Viscoelastic Phase Separation Model
Authors: A Brunk, H Egger, O Habrich, M Lukacova-Medvidova
Journal: arXiv preprint arXiv:2407.01803, 2024
Nonisothermal Cahn-Hilliard Navier-Stokes System
Authors: A Brunk, D Schumann
Journal: arXiv preprint arXiv:2405.13936, 2024