A perturbation of the Cahn-Hilliard equation with logarithmic nonlinearity
From MaRDI portal
Publication:6181279
DOI10.1016/j.jde.2023.11.013zbMath1530.35080MaRDI QIDQ6181279
Stefania Gatti, Monica Conti, Alain Miranville
Publication date: 2 January 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
perturbationwell-posednessCahn-Hilliard equationlogarithmic nonlinear termsstrict separation propertyconvergence to the Cahn-Hilliard equation
Initial-boundary value problems for higher-order parabolic equations (35K35) A priori estimates in context of PDEs (35B45) Semilinear parabolic equations (35K58)
Cites Work
- Unnamed Item
- Continuum theory of thermally induced phase transitions based on an order parameter
- Dynamic solid-solid transitions with phase characterized by an order parameter
- The nonlocal Cahn-Hilliard equation with singular potential: well-posedness, regularity and strict separation property
- Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
- Global well-posedness of a Navier-Stokes-Cahn-Hilliard system with chemotaxis and singular potential in 2D
- The Cahn-Hilliard equation with a nonlinear source term
- An Allen-Cahn equation based on an unconstrained order parameter and its Cahn-Hilliard limit
- Well-posedness for the Brinkman-Cahn-Hilliard system with unmatched viscosities
- Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy
- Robust exponential attractors for Cahn‐Hilliard type equations with singular potentials
- The Cahn–Hilliard–Oono equation with singular potential
- The Cahn–Hilliard Equation: Recent Advances and Applications
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- The separation property for 2D Cahn-Hilliard equations: local, nonlocal and fractional energy cases
- A Cahn-Hilliard model based on microconcentrations
- Coupled diffusion and phase transition: phase fields, constraints, and the Cahn-Hilliard equation
This page was built for publication: A perturbation of the Cahn-Hilliard equation with logarithmic nonlinearity