Helmut Abels
- Global regularity and asymptotic stabilization for the incompressible Navier-Stokes-Cahn-Hilliard model with unmatched densities
2022/09/22 by Helmut Abels, Abels, Helmut, Harald Garcke +2 · 7 citations
Mathematics · Materials Science · #Navier-Stokes equation solutions #Solidification and crystal growth phenomena #Nonlinear Partial Differential Equations
- Cahn-Hilliard Equation with Nonlocal Singular Free Energies
2013/11/14 by Helmut Abels, Stefano Bosia, Abels, Helmut +3 · 4 citations
Computer Science · Materials Science · Mathematics · #35B41 #37L99 #45K05 #47H05 #47J35 #80A22 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Solidification and crystal growth phenomena
- On a Diffuse Interface Model for Two-Phase Flows of Viscous, Incompressible Fluids with Matched Densities
2008/08/04 by Helmut Abels · 5 citations
Materials Science · Mathematics · Physics and Astronomy · #Solidification and crystal growth phenomena #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
- Well-posedness of a fully-coupled Navier-Stokes/Q-tensor system with inhomogeneous boundary data
2013/11/14 by Helmut Abels, Georg Dolzmann, Abels, Helmut +3 · 2 citations
Engineering · Mathematics · #35Q30 #35Q35 #76D03 #76D05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions
- Strong Nonlocal-to-Local Convergence of the Cahn-Hilliard Equation and its Operator
2023/07/05 by Helmut Abels, Christoph Hurm, Abels, Helmut +1 · 4 citations
Computer Science · Mathematics · #35B40 #35D30 #35K25 #35K55 #45K05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations
- Large Time Existence for Thin Vibrating Plates
2009/09/15 by Helmut Abels, Abels, H., Maria Giovanna Mora +3 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Stability and Controllability of Differential Equations #Navier-Stokes equation solutions
- The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity
2010/08/15 by Helmut Abels, Maria Giovanna Mora, Stefan Müller · 1 citation
- Strong Well-Posedness of a Diffuse Interface Model for a Viscous,\n Quasi-Incompressible Two-Phase Flow
2011/01/01 by Helmut Abels, Abels, Helmut · 1 citation
Materials Science · Mathematics · Computer Science · #Solidification and crystal growth phenomena #Navier-Stokes equation solutions #Advanced Mathematical Modeling in Engineering
- Analysis of the diffuse domain approach for a bulk-surface coupled PDE\n system
2015/02/17 by Helmut Abels, Abels, Helmut, Kei Fong Lam +3 · 1 citation
Engineering · Computer Science · #Advanced Numerical Methods in Computational Mathematics #Advanced Mathematical Modeling in Engineering #Numerical methods in engineering
- 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
- Existence of Weak Solutions for a Diffuse Interface Model for Two-Phase\n Flow with Surfactants
2017/10/09 by Helmut Abels, Harald Garcke, Abels, Helmut +3 · 1 citation
Engineering · Mathematics · #Fluid Dynamics and Thin Films #Lattice Boltzmann Simulation Studies #Navier-Stokes equation solutions
- Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Local Well-Posedness
2024/07/20 by Helmut Abels, Harald Garcke, Abels, Helmut +3 · 2 citations
Computer Science · Engineering · #35D35 #35Q30 #35Q35 #76D05 #76T06 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Thin Films #Lattice Boltzmann Simulation Studies
- Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Global Well-Posedness
2024/08/14 by Helmut Abels, Harald Garcke, Abels, Helmut +3 · 2 citations
Computer Science · Engineering · #35D35 #35Q30 #35Q35 #76D05 #76T06 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Heat Transfer #Fluid Dynamics and Thin Films
- Diffuse Interface Models for Two-Phase Flows with Phase Transition: Modeling and Existence of Weak Solutions
2025/05/08 by Helmut Abels, Harald Garcke, Abels, Helmut +2 · 2 citations
Engineering · Materials Science · Mathematics · #35D35 #35Q30 #35Q35 #76D05 #76T06 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Thin Films #Navier-Stokes equation solutions #Solidification and crystal growth phenomena