| Weak Solutions of the Cahn--Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach H Garcke, P Knopf SIAM Journal on Mathematical Analysis 52 (1), 340–369, 2020 | 51 | 2020 |
| Phase-field dynamics with transfer of materials: The Cahn--Hilliard equation with reaction rate dependent dynamic boundary conditions P Knopf, KF Lam, C Liu, S Metzger ESAIM: Mathematical Modelling and Numerical Analysis 55 (1), 229-282, 2021 | 47 | 2021 |
| Optimal control theory and advanced optimality conditions for a diffuse interface model of tumor growth M Ebenbeck, P Knopf ESAIM: Control, Optimisation and Calculus of Variations 26, 71, 2020 | 33 | 2020 |
| Optimal medication for tumors modeled by a Cahn–Hilliard–Brinkman equation M Ebenbeck, P Knopf Calculus of Variations and Partial Differential Equations 58 (4), 131, 2019 | 33 | 2019 |
| Convergence of a Robin boundary approximation for a Cahn–Hilliard system with dynamic boundary conditions P Knopf, KF Lam Nonlinearity 33 (8), 4191–4235, 2020 | 24 | 2020 |
| On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization P Knopf, A Signori Journal of Differential Equations 280, 236-291, 2021 | 22 | 2021 |
| Existence of weak solutions to multiphase Cahn-Hilliard-Darcy and Cahn-Hilliard-Brinkman models for stratified tumor growth with chemotaxis and general source terms P Knopf, A Signori Communications in Partial Differential Equations 47 (2), 233-278, 2022 | 17 | 2022 |
| Shape and topology optimization involving the eigenvalues of an elastic structure: A multi-phase-field approach H Garcke, P Hüttl, P Knopf Advances in Nonlinear Analysis 11 (1), 159-197, 2021 | 17 | 2021 |
| Optimal control of a Vlasov–Poisson plasma by an external magnetic field P Knopf Calculus of Variations and Partial Differential Equations 57 (5), 134, 2018 | 16 | 2018 |
| Stratified periodic water waves with singular density gradients J Escher, P Knopf, C Lienstromberg, BV Matioc Annali di Matematica Pura ed Applicata (1923-) 199, 1923-1959, 2020 | 14 | 2020 |
| Optimal Control of a Vlasov–Poisson Plasma by Fixed Magnetic Field Coils P Knopf, J Weber Applied Mathematics & Optimization 81 (3), 961–988, 2020 | 14 | 2020 |
| On second-order and fourth-order elliptic systems consisting of bulk and surface PDEs: Well-posedness, regularity theory and eigenvalue problems P Knopf, C Liu Interfaces and Free Boundaries 23 (4), 507-533, 2020 | 13 | 2020 |
| Confined steady states of a Vlasov-Poisson plasma in an infinitely long cylinder P Knopf Mathematical Methods in the Applied Sciences 42 (18), 6369–6384, 2019 | 12 | 2019 |
| Long-time dynamics of the Cahn–Hilliard equation with kinetic rate dependent dynamic boundary conditions H Garcke, P Knopf, S Yayla Nonlinear Analysis 215, 112619, 2022 | 11 | 2022 |
| Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions A Giorgini, P Knopf Journal of Mathematical Fluid Mechanics 25 (3), 65, 2023 | 10 | 2023 |
| Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids H Garcke, P Knopf, S Mitra, A Schlömerkemper Calculus of Variations and Partial Differential Equations 61 (5), 179, 2022 | 9 | 2022 |
| Phase-field methods for spectral shape and topology optimization H Garcke, P Hüttl, C Kahle, P Knopf, T Laux ESAIM: Control, Optimisation and Calculus of Variations 29, 10, 2023 | 8 | 2023 |
| A diffuse-interface approach for solid-state dewetting with anisotropic surface energies H Garcke, P Knopf, R Nürnberg, Q Zhao Journal of Nonlinear Science 33 (2), 34, 2023 | 5 | 2023 |
| Two-phase flows through porous media described by a Cahn--Hilliard--Brinkman model with dynamic boundary conditions P Colli, P Knopf, G Schimperna, A Signori arXiv preprint arXiv:2312.15274, 2023 | 3 | 2023 |
| A phase-field version of the Faber–Krahn theorem P Hüttl, P Knopf, T Laux Preprint, 2022 | 3 | 2022 |
Harald GarckeProfessor of Mathematics, University Regensburg在 mathematik.uni-regensburg.de 的电子邮件经过验证
