Exponential attractor for the Cahn-Hilliard-Oono equation in \(\mathbb{R}^N\)
From MaRDI portal
Publication:6149236
DOI10.12775/tmna.2023.018MaRDI QIDQ6149236
Jan W. Cholewa, Radosław Czaja
Publication date: 5 February 2024
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/journals/topological-methods-in-nonlinear-analysis/volume-62/issue-2/Exponential-attractor-for-the-Cahn-Hilliard-Oono-equation-in-mathbb/10.12775/TMNA.2023.018.full
fractal dimensionsemilinear parabolic equationsexponential attractorsinitial value problems for higher-order parabolic equations
Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Higher-order parabolic equations (35K25) Semilinear parabolic equations (35K58)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dynamics of quasi-stable dissipative systems
- Linear higher order parabolic problems in locally uniform Lebesgue's spaces
- Linear and semilinear higher order parabolic equations in \(\mathbb R^N\)
- Analysis of the viscous Cahn-Hilliard equation in \(\mathbb R^N\)
- Local asymptotics for nonlocal convective Cahn-Hilliard equations with \(W^{1,1}\) kernel and singular potential
- Dynamics of the viscous Cahn-Hilliard equation
- A note on the optimal temporal decay estimates of solutions to the Cahn-Hilliard equation
- Global existence and asymptotics of solutions of the Cahn-Hilliard equation
- Semigroups of linear operators and applications to partial differential equations
- Geometric theory of semilinear parabolic equations
- Infinite-dimensional dynamical systems in mechanics and physics
- Global attractor for the Cahn-Hilliard system with fast growing nonlinearity
- Exponential stability of a diffusion equation with absorption
- On the dynamics of a modified Cahn-Hilliard equation with biological applications
- On the Cahn-Hilliard equation in \(H^1(\mathbb R^N)\)
- An \(L^ \infty\) bound for solutions of the Cahn-Hilliard equation
- Viscous Cahn-Hilliard equation. II: Analysis
- Global well-posedness in uniformly local spaces for the Cahn-Hilliard equation in \(\mathbb R^3\)
- Global existence of solutions of the time fractional Cahn-Hilliard equation in \(\mathbb{R}^3\)
- Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms
- The Cahn-Hilliard equation and some of its variants
- Finite dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono equation in R3
- Global well-posedness and attractors for the hyperbolic Cahn–Hilliard–Oono equation in the whole space
- On the Cahn-Hilliard-Oono-Navier-Stokes equations with singular potentials
- A note on the Cahn-Hilliard equation in $H^1(\mathbb R^N)$ involving critical exponent
- LINEAR PARABOLIC EQUATIONS IN LOCALLY UNIFORM SPACES
- Finite-dimensional attractor for the viscous Cahn-Hilliard equation in an unbounded domain
- A note on attractors with finite fractal dimension
- Long-time behavior of second order evolution equations with nonlinear damping
- Trajectory and smooth attractors for Cahn–Hilliard equations with inertial term
- Global attractor for the Cahn-Hilliard system
- The Cahn–Hilliard–Oono equation with singular potential
- On the Cahn–Hilliard Equation with Degenerate Mobility
- From nonlocal to local Cahn-Hilliard equation
- On Fractal Dimension of Global and Exponential Attractors for Dissipative Higher Order Parabolic Problems in $$\mathbb {R}^N$$ with General Potential
- The Cahn–Hilliard Equation: Recent Advances and Applications
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Second phase spinodal decomposition for the Cahn-Hilliard-Cook equation
- Anomalous scaling for three‐dimensional Cahn‐Hilliard fronts
- Long-time behavior of some models of Cahn-Hilliard equations in deformable continua
- Spinodal decomposition for the Cahn-Hilliard-Cook equation
- Degenerate Cahn-Hilliard equation: from nonlocal to local
- From Vlasov equation to degenerate nonlocal Cahn-Hilliard equation
