Cover Image

The evolving surface Cahn-Hilliard equation with a degenerate mobility

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Elliott, Charles M., Sales, Thomas
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 35K65 (Primary), 35K55, 35Q79 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Navier-Stokes-Cahn-Hilliard equations on evolving surfaces
by: Elliott, Charles M., et al.
Published: (2024)

Local boundedness for solutions to degenerate parabolic double phase problems
by: Kim, Bogi, et al.
Published: (2026)

Bounded solutions and interpolative gap bounds for degenerate parabolic double phase problems
by: Kim, Bogi, et al.
Published: (2025)

An evolving surface finite element method for the Cahn-Hilliard equation with a logarithmic potential
by: Elliott, Charles M., et al.
Published: (2024)

Linearization of finite-strain poro-visco-elasticity with degenerate mobility
by: van Oosterhout, Willem J. M.
Published: (2024)

Regularity theory for fully nonlinear equations of porous medium-type
by: Yun, Hyungsung
Published: (2024)

A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential
by: Elliott, Charles M., et al.
Published: (2024)

Hölder regularity for a class of doubly non linear PDEs
by: Cassanello, Filippo Maria, et al.
Published: (2025)

Boundedness of weak solutions to degenerate Kolmogorov equations of hypoelliptic type in bounded domains
by: Hou, Mingyi
Published: (2024)

Harnack inequality for degenerate fully nonlinear parabolic equations
by: Arya, Vedansh, et al.
Published: (2025)

Weak-strong uniqueness for general cross-diffusion systems with volume filling
by: Heitzinger, Maria, et al.
Published: (2025)

Global existence for a system without self-diffusion and different mobilities
by: Elbar, Charles
Published: (2026)

Absence of the Lavrentiev phenomenon for degenerate parabolic double phase problems
by: Kim, Bogi, et al.
Published: (2026)

The volume-filling property of semiconductor model with cross-diffusion phenomenon
by: Lin, Xi
Published: (2022)

Regularity and long-time behavior of global weak solutions to a coupled Cahn-Hilliard system: the off-critical case
by: Ouyang, Bohan
Published: (2024)

Global weak solutions to a doubly degenerate nutrient taxis system on the whole real line
by: Herrero-Hervás, Federico
Published: (2025)

Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential
by: Hurm, Christoph, et al.
Published: (2024)

Regularity criteria for the surface growth model with a forcing term
by: Cheng, Yuqian, et al.
Published: (2026)

Well-posedness of aggregation-diffusion systems with irregular kernels
by: Carrillo, José A., et al.
Published: (2024)

Long-time behavior of free energy in the nonlinear Fokker-Planck equation
by: Araki, Kouta, et al.
Published: (2025)

The Aronson-Bénilan estimate for a Lagrangian particle discretization of the Porous Medium Equation
by: Di Francesco, Marco, et al.
Published: (2026)

The Cauchy problem for doubly degenerate parabolic equations with weights
by: Andreucci, Daniele, et al.
Published: (2024)

A supersolution approach to doubly degenerate parabolic equations with weights
by: Andreucci, Daniele, et al.
Published: (2025)

Partial gradient regularity for parabolic systems with degenerate diffusion and Hölder continuous coefficients
by: Bäuerlein, Fabian
Published: (2024)

Global well-posedness of the NLS hierarchy with nonzero boundary condition
by: Liao, Xian, et al.
Published: (2025)

Optimal regularity for degenerate parabolic equations on a flat boundary
by: Yun, Hyungsung
Published: (2025)

Nonisothermal Richards flow in porous media with cross diffusion
by: Daus, Esther S., et al.
Published: (2021)

Global dynamics for the energy-critical nonlinear heat equation
by: Ikeda, Masahiro, et al.
Published: (2024)

On the Cahn-Hilliard equation with kinetic rate dependent dynamic boundary condition and non-smooth potential: separation property and long-time behavior
by: Lv, Maoyin, et al.
Published: (2024)

Remarks on the derivation of the virial identity for nonlinear Schrödinger equations
by: Ikeda, Tomoyuki, et al.
Published: (2025)

Separation property and asymptotic behavior for a transmission problem of the bulk-surface coupled Cahn-Hilliard system with singular potentials and its Robin approximation
by: Lv, Maoyin, et al.
Published: (2024)

Second order Sobolev regularity results for the generalized $p$-parabolic equation
by: Feng, Yawen, et al.
Published: (2024)

Barriers, Barenblatt solutions and regularity of soda can domains for the heat equation and nonlinear $p$-parabolic equations
by: Björn, Anders, et al.
Published: (2026)

Rigidity of smooth finite-time blow-up for equivariant self-dual Chern-Simons-Schrödinger equation
by: Kim, Kihyun
Published: (2022)

Exponential equilibration of an electro-energy-reaction-diffusion system arising from a two-level semiconductor model
by: Kniely, Michael
Published: (2025)

Global weak solutions to a strongly degenerate haptotaxis model
by: Winkler, Michael, et al.
Published: (2016)

Analytic smoothing effect for a model of Kolmogorov-Prandtl type equations
by: Cao, Xiao-Dong, et al.
Published: (2025)

Long-time dynamics of a bulk-surface convective Cahn--Hilliard system: Pullback attractors and convergence to equilibrium
by: Knopf, Patrik, et al.
Published: (2026)

Global gradient estimates for solutions of parabolic equations with nonstandard growth
by: Arora, Rakesh, et al.
Published: (2024)

Layer dynamics for the one dimensional $\varepsilon$-dependent Cahn-Hilliard / Allen-Cahn equation
by: Antonopoulou, Dimitra, et al.
Published: (2021)