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1. Surface elevation errors in finite element Stokes models for glacier evolution
   2024/08/12 by Bueler, Ed · 1 citation
   #49J40 #65N15 #65N30 #76D07 #76D27 #FOS: Mathematics #FOS: Physical sciences #Geophysics (physics.geo-ph) #Numerical Analysis (math.NA)
2. Well-posedness for viscosity solutions of the one-phase Muskat problem in all dimensions
   2024/04/17 by Schwab, Russell, Tu, Son, Turanova, Olga · 2 citations
   #35B51 #35D35 #35D40 #35Q35 #35R09 #35R35 #45K05 #47G20 #49L25 #76B03 #76D27 #Analysis of PDEs (math.AP) #FOS: Mathematics
3. Convergence of Free Boundaries in the Incompressible Limit of Tumor Growth Models
   2024/03/09 by Tong, Jiajun, Zhang, Yuming Paul · 1 citation
   #35B40 #35K65 #35Q92 #35R35 #49Q15 #76D27 #Analysis of PDEs (math.AP) #FOS: Mathematics
4. The Hele-Shaw semi-flow
   2023/12/21 by Thomas Alazard, Alazard, Thomas, Herbert Koch +1 · 1 citation
   Mathematics · #35R37 #76D27 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations
5. Regularity of Hele-Shaw Flow with source and drift
   2022/10/25 by Inwon Kim, Kim, Inwon, Yuming Paul Zhang +1 · 1 citation
   Mathematics · Physics and Astronomy · #35R35 #76D27 #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
6. On the Cahn-Hilliard-Darcy system with mass source and strongly separating potential
   2022/02/23 by Schimperna, Giulio · 1 citation
   #35D30 #35K61 #35Q35 #76D27 #92C30 #Analysis of PDEs (math.AP) #FOS: Mathematics
7. 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
8. Weak Solutions for a Diffuse Interface Model for Two-Phase Flows of Incompressible Fluids with Different Densities and Nonlocal Free Energies
   2018/06/04 by Abels, Helmut, Terasawa, Yutaka · 3 citations
   #35Q30 #35Q35 #76D03 #76D05 #76D27 #76T99 #Analysis of PDEs (math.AP) #FOS: Mathematics
9. An adaptive numerical method for free surface flows passing rigidly mounted obstacles
   2016/09/18 by Nikitin, Kirill D., Olshanskii, Maxim A., Terekhov, Kirill M. +2 · 1 citation
   #65M08 #76D27 #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA)
10. Global existence of weak solutions for a nonlocal model for two-phase\n flows of incompressible fluids with unmatched densities
    2015/05/29 by Sergio Frigeri, Frigeri, Sergio · 4 citations
    Materials Science · Mathematics · #35Q30 #35Q35 #76D03 #76D05 #76D27 #76T99 #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Solidification and crystal growth phenomena
11. 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
12. Derivation of a Hele-Shaw type system from a cell model with active motion
    2014/01/13 by Perthame, Benoît, Quirós, Fernando, Tang, Min +1 · 2 citations
    #35B25 #35K55 #76D27 #92C50 #Analysis of PDEs (math.AP) #FOS: Mathematics
13. Lie Group Action and Stability Analysis of Stationary Solutions for a Free Boundary Problem Modelling Tumor Growth
    2007/12/15 by Cui, Shangbin · 1 citation
    #34G20 #35R35 #47H20 #76D27 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)