- A unified framework for N-phase Navier-Stokes Cahn-Hilliard Allen-Cahn mixture models with non-matching densities
2024/07/29 by M. ten Eikelder, Eikelder, M. F. P. ten · 2 citations
Earth and Planetary Sciences · Materials Science · #35Q35 #35R37 #76D05 #76D45 #76T30 #80A99 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical Physics (math-ph) #Solidification and crystal growth phenomena #nanoparticles nucleation surface interactions
- The divergence-free velocity formulation of the consistent Navier-Stokes Cahn-Hilliard model with non-matching densities, divergence-conforming discretization, and benchmarks
2023/11/16 by Mieke Ten Eikelder, D. Schillinger, Eikelder, M. ten +1 · 1 citation
Engineering · Mathematics · #35Q30 #35R35 #65M12 #65M60 #76D45 #76T99 #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA) #Stochastic processes and statistical mechanics
- Approximation of Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier-Stokes/Allen-Cahn System
2023/11/06 by Abels, Helmut, Fischer, Julian, Moser, Maximilian · 1 citation
#35Q30 #35Q35 #35R35 #76D05 #76D45 #76T06 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Mathematical Analysis of a Diffuse Interface Model for Multi-Phase Flows of Incompressible Viscous Fluids with Different Densities
2023/08/22 by Abels, Helmut, Garcke, Harald, Poiatti, Andrea · 4 citations
#35B40 #35B65 #35Q30 #35Q35 #76D03 #76D05 #76D45 #Analysis of PDEs (math.AP) #FOS: Mathematics
- From nonlocal Euler-Korteweg to local Cahn-Hilliard via the high-friction limit
2023/05/02 by Elbar, Charles, Gwiazda, Piotr, Skrzeczkowski, Jakub +1 · 2 citations
#35B25 #35K55 #35Q31 #35Q35 #76D45 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Thermodynamically consistent diffuse-interface mixture models of incompressible multicomponent fluids
2023/02/18 by Eikelder, M. ten, van der Zee, K., Schillinger, D. · 3 citations
#35Q30 #35Q35 #35R35 #76D05 #76D45 #76T99 #80A99 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical Physics (math-ph)
- Global well-posedness and convergence to equilibrium for the Abels-Garcke-Grün model with nonlocal free energy
2022/12/07 by Gal, Ciprian G., Giorgini, Andrea, Grasselli, Maurizio +1 · 5 citations
#35B40 #35B65 #35Q35 #76D03 #76D45 #76T06 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Feedback stabilization of a two-fluid surface tension system modeling the motion of a soap bubble at low Reynolds number: The two-dimensional case
2022/05/30 by Court, Sebastien · 1 citation
#35R35 #76D45 #76D55 #93B52 #93D15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC)
- Convergence of a Nonlocal to a Local Diffuse Interface Model for Two-Phase Flow with Unmatched Densities
2022/01/16 by Abels, Helmut, Terasawa, Yutaka · 4 citations
#35Q35 #76D03 #76D05 #76D27 #76D45 #76T99 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Existence and Stability of Strong Solutions to the Abels-Garcke-Grün model in Three Dimensions
2021/12/02 by Giorgini, Andrea · 2 citations
#35D35 #35Q35 #76D45 #76T06 #Analysis of PDEs (math.AP) #FOS: Mathematics
- A unified framework for Navier-Stokes Cahn-Hilliard models with non-matching densities
2021/10/19 by Eikelder, M. ten, van der Zee, K., Akkerman, I. +1 · 5 citations
#35Q30 #35Q35 #35R35 #76D05 #76D45 #76T99 #80A9 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Mathematical Physics (math-ph)
- Stability of contact lines in fluids: 2D Navier-Stokes flow
2020/10/29 by Guo, Yan, Tice, Ian · 1 citation
#35R35 #47A60 #76D45 #76E17 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary: 35Q30 #Secondary: 35B40
- Local Well-Posedness of a Quasi-Incompressible Two-Phase Flow
2020/06/25 by Abels, Helmut, Weber, Josef · 3 citations
#35Q30 #35Q35 #35R35 #76D05 #76D45 #76T99 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Traveling wave solutions to the free boundary incompressible Navier-Stokes equations
2019/12/20 by Leoni, Giovanni, Tice, Ian · 1 citation
#35C07 #35M12 #35R35 #76D45 #Analysis of PDEs (math.AP) #FOS: Mathematics #Primary 35Q30 #Secondary 76D03
- Pressure Reconstruction for Weak Solutions of the Two-Phase Incompressible Navier--Stokes Equations with Surface Tension
2018/01/15 by Abels, Helmut, Daube, Johannes, Kraus, Christiane · 1 citation
#35Q30 #35Q35 #35R35 #76D05 #76D45 #76T99 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Sharp Interface Limit for a Stokes/Allen-Cahn System
2016/11/14 by Helmut Abels, Abels, Helmut, Yuning Liu +1 · 1 citation
Computer Science · Materials Science · Physics and Astronomy · #35Q30 #35Q35 #35R35 #76D05 #76D45 #76T99 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Solidification and crystal growth phenomena #Theoretical and Computational Physics
- On the Cahn-Hilliard-Brinkman system
2014/02/25 by Bosia, Stefano, Conti, Monica, Grasselli, Maurizio · 2 citations
#35B40 #35D30 #35Q35 #37L30 #76D27 #76D45 #76S05 #76T99 #Analysis of PDEs (math.AP) #FOS: Mathematics
- A narrow-band unfitted finite element method for elliptic PDEs posed on\n surfaces
2014/01/29 by Maxim A. Olshanskii, Danil Safin, Olshanskii, Maxim A. +1 · 1 citation
Computer Science · Engineering · #65N15 #65N30 #76D45 #76T99 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
- An Eulerian space-time finite element method for diffusion problems on evolving surfaces
2013/04/23 by Olshanskii, Maxim A., Reusken, Arnold, Xu, Xianmin · 1 citation
#58J32 #65N30 #76D45 #76T99 #FOS: Mathematics #Numerical Analysis (math.NA)
- Diffuse interface modelling of soluble surfactants in two-phase flow
2013/03/11 by Garcke, Harald, Lam, Kei Fong, Stinner, Björn · 1 citation
#35C20 #35Q35 #35R01 #35R35 #76D45 #76T99 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)
- Existence of Weak Solutions for a Diffuse Interface Model of Non-Newtonian Two-Phase Flows
2013/02/13 by Abels, Helmut, Diening, Lars, Terasawa, Yutaka · 1 citation
#35Q30 #35Q35 #35R35 #76D05 #76D45 #Analysis of PDEs (math.AP) #FOS: Mathematics
- A stabilized finite element method for advection-diffusion equations on surfaces
2013/01/16 by Olshanskii, Maxim A., Reusken, Arnold, Xu, Xianmin · 1 citation
#58J32 #65N12 #65N30 #76D45 #76T99 #FOS: Mathematics #Numerical Analysis (math.NA)
- Global existence for capillary water waves
2012/10/04 by Germain, Pierre, Masmoudi, Nader, Shatah, Jalal · 1 citation
#35B40 #37L50 #76D03 #76D33 #76D45 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Thermodynamically Consistent, Frame Indifferent Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities
2011/04/07 by Abels, H., Garcke, H., Grün, G. · 14 citations
#35Q30 #35Q35 #35R35 #76D05 #76D45 #76T99 #80A22 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)