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1. Diffuse Interface Models for Two-Phase Flows with Phase Transition: Modeling and Existence of Weak Solutions
   2025/05/08 by Helmut Abels, Abels, Helmut, Harald Garcke +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
2. Energy-variational structure in evolution equations
   2025/03/14 by Lasarzik, Robert · 1 citation
   #35D99 #35Q35 #35Q74 #35R35 #35R45 #76T06 #Analysis of PDEs (math.AP) #FOS: Mathematics
3. Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Global Well-Posedness
   2024/08/14 by Helmut Abels, Abels, Helmut, Harald Garcke +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
4. Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Local Well-Posedness
   2024/07/20 by Helmut Abels, Abels, Helmut, Harald Garcke +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
5. Two-phase flows through porous media described by a Cahn--Hilliard--Brinkman model with dynamic boundary conditions
   2023/12/23 by Colli, Pierluigi, Knopf, Patrik, Schimperna, Giulio +1 · 4 citations
   #35B65 #35D30 #35K35 #35K86 #76D03 #76T06 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
6. 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
7. Fluid dynamics alters liquid-liquid phase separation in confined aqueous two-phase systems
   2023/10/26 by Hester, Eric W., Carney, Sean P., Shah, Vishwesh +4 · 1 citation
   #74A50 #76-10 (Primary) 76T30 #76T06 #80A22 (Secondary) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Soft Condensed Matter (cond-mat.soft)
8. Existence of weak solution for a compressible multicomponent fluid structure interaction problem
   2023/01/26 by Kalousek, Martin, Mitra, Sourav, Nečasová, Šárka · 1 citation
   #35Q30 #76T06 #Analysis of PDEs (math.AP) #FOS: Mathematics
9. 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
10. 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