Nonlocal Cahn–Hilliard–Hele–Shaw Systems with Singular Potential and Degenerate Mobility

Cecilia Cavaterra; Sergio Frigeri; Maurizio Grasselli

doi:10.1007/s00021-021-00648-1

Nonlocal Cahn–Hilliard–Hele–Shaw Systems with Singular Potential and Degenerate Mobility

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-021-00648-1 ◽

2021 ◽

Vol 24 (1) ◽

Author(s):

Cecilia Cavaterra ◽

Sergio Frigeri ◽

Maurizio Grasselli

Keyword(s):

Singular Potential ◽

Degenerate Mobility

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On a nonlocal Cahn-Hilliard/Navier-Stokes system with degenerate mobility and singular potential for incompressible fluids with different densities

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2020.08.005 ◽

2020 ◽

Author(s):

Sergio Frigeri

Keyword(s):

Stokes System ◽

Singular Potential ◽

Incompressible Fluids ◽

Navier Stokes ◽

Degenerate Mobility

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Regularity results for the nonlocal Cahn-Hilliard equation with singular potential and degenerate mobility

Journal of Differential Equations ◽

10.1016/j.jde.2021.03.052 ◽

2021 ◽

Vol 287 ◽

pp. 295-328

Author(s):

Sergio Frigeri ◽

Ciprian G. Gal ◽

Maurizio Grasselli

Keyword(s):

Singular Potential ◽

Hilliard Equation ◽

Degenerate Mobility ◽

Cahn Hilliard Equation ◽

Regularity Results

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Two-dimensional nonlocal Cahn–Hilliard–Navier–Stokes systems with variable viscosity, degenerate mobility and singular potential

Nonlinearity ◽

10.1088/1361-6544/aaedd0 ◽

2019 ◽

Vol 32 (2) ◽

pp. 678-727 ◽

Cited By ~ 5

Author(s):

S Frigeri ◽

C G Gal ◽

M Grasselli ◽

J Sprekels

Keyword(s):

Singular Potential ◽

Variable Viscosity ◽

Navier Stokes ◽

Two Dimensional ◽

Stokes Systems ◽

Degenerate Mobility

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Optimal Distributed Control of Two-Dimensional Nonlocal Cahn–Hilliard–Navier–Stokes Systems with Degenerate Mobility and Singular Potential

Applied Mathematics & Optimization ◽

10.1007/s00245-018-9524-7 ◽

2018 ◽

Vol 81 (3) ◽

pp. 899-931 ◽

Cited By ~ 6

Author(s):

Sergio Frigeri ◽

Maurizio Grasselli ◽

Jürgen Sprekels

Keyword(s):

Distributed Control ◽

Singular Potential ◽

Navier Stokes ◽

Two Dimensional ◽

Stokes Systems ◽

Degenerate Mobility ◽

Optimal Distributed Control

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Eigenvalues of a Shrodinger Equation with a Singular Potential

Journal of Automation and Information Sciences ◽

10.1615/jautomatinfscien.v33.i5-8.260 ◽

2001 ◽

Vol 33 (5-8) ◽

pp. 8

Author(s):

Boris N. Lyashenko

Keyword(s):

Singular Potential ◽

Shrodinger Equation

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Evaluation of singular potential integrals in the method of moments using linearly phased RWG basis functions

2nd European Conference on Antennas and Propagation (EuCAP 2007) ◽

10.1049/ic.2007.1171 ◽

2007 ◽

Author(s):

M.G. Araujo ◽

J.M. Taboada ◽

F. Obelleiro ◽

J.L. Rodriguez ◽

I. Garcia-Tunon

Keyword(s):

Method Of Moments ◽

Singular Potential ◽

Basis Functions

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On an incompressible Navier–Stokes/Cahn–Hilliard system with degenerate mobility

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2013.01.002 ◽

2013 ◽

Vol 30 (6) ◽

pp. 1175-1190 ◽

Cited By ~ 32

Author(s):

Helmut Abels ◽

Daniel Depner ◽

Harald Garcke

Keyword(s):

Navier Stokes ◽

Degenerate Mobility

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Nonexistence of solutions for the quasilinear parabolic differential inequalities with singular potential term and nonlocal source

Journal of Inequalities and Applications ◽

10.1186/s13660-020-02329-5 ◽

2020 ◽

Vol 2020 (1) ◽

Cited By ~ 2

Author(s):

Suping Xiao ◽

Zhong Bo Fang

Keyword(s):

Singular Potential ◽

Differential Inequalities ◽

Nonlocal Source ◽

Potential Term ◽

Nonexistence Of Solutions ◽

Quasilinear Parabolic

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Existence and mapping properties of the wave operator for the Schrödinger equation with singular potential

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-05-07854-8 ◽

2005 ◽

Vol 133 (07) ◽

pp. 1993-2003 ◽

Cited By ~ 2

Author(s):

Vladimir Georgiev ◽

Angel Ivanov

Keyword(s):

Schrödinger Equation ◽

Wave Operator ◽

Schrodinger Equation ◽

Singular Potential

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On the convective Cahn–Hilliard equation with degenerate mobility

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.02.027 ◽

2008 ◽

Vol 344 (1) ◽

pp. 124-144 ◽

Cited By ~ 14

Author(s):

Changchun Liu

Keyword(s):

Hilliard Equation ◽

Degenerate Mobility ◽

Cahn Hilliard Equation

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