Well-posedness of the classical solution for the Kuramto-Sivashinsky equation with anisotropy effects
From MaRDI portal
Publication:2026490
DOI10.1007/s00033-021-01506-wzbMath1464.35144OpenAlexW3137586527MaRDI QIDQ2026490
Lorenzo di Ruvo, Giuseppe Maria Coclite
Publication date: 19 May 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01506-w
Initial value problems for higher-order parabolic equations (35K30) Semilinear parabolic equations (35K58)
Related Items
\(H^1\) solutions for a Kuramoto-Sinelshchikov-Cahn-Hilliard type equation, \(H^1\) solutions for a Kuramoto-Velarde type equation, Well- and ill-posedness for a class of the \(3D\)-generalized Kuramoto-Sivashinsky equations, On a diffusion model for growth and dispersal in a population, Well-posedness result for the Kuramoto-Velarde equation, On the solutions for a Benney-Lin type equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical study for the nucleation of one-dimensional stochastic Cahn-Hilliard dynamics
- Convergence of the Kuramoto-Sinelshchikov equation to the Burgers one
- Singularly perturbed 1D Cahn-Hilliard equation revisited
- Dispersive and diffusive limits for Ostrovsky-Hunter type equations
- Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension
- Null controllability and stabilization of the linear Kuramoto-Sivashinsky equation
- Partial differential equations. I: Basic theory
- The convective Cahn-Hilliard equation
- Remarks on the Kuramoto-Sivashinsky equation
- Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
- Slow motion for the Cahn-Hilliard equation in one space dimension
- Phase separation dynamics in driven diffusive systems
- Global well-posedness of solutions to the Cauchy problem of convective Cahn-Hilliard equation. Cauchy problem of convective Cahn-Hilliard equation
- A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth
- Coarsening dynamics of the convective Cahn-Hilliard equation
- On the Korteweg-de Vries-Kuramoto-Sivashinsky equation
- An \(L^ \infty\) bound for solutions of the Cahn-Hilliard equation
- Feedback control of the Kuramoto-Sivashinsky equation
- Global stabilization of the Kuramoto-Sivashinsky equation via distributed output feedback control
- Local bifurcations in the Cahn-Hilliard and Kuramoto-Sivashinsky equations and in their generalizations
- On the hyperbolic relaxation of the one-dimensional Cahn--Hilliard equation
- Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
- Coalescence in the 1D Cahn–Hilliard model
- A SPLITTING METHOD FOR THE CAHN–HILLIARD EQUATION WITH INERTIAL TERM
- Nonlinear instability at the interface between two viscous fluids
- The Well-Posedness of the Kuramoto–Sivashinsky Equation
- Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
- Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
- Convergence of solution to nonlinear dispersive equations
- A Regularized Equation for Anisotropic Motion-by-Curvature
- Conservation laws with vanishing nonlinear diffusion and dispersion11This work was partially carried out during a visit of the first author to the Istituto per le Applicazioni del Calcolo.
- The convective viscous Cahn–Hilliard equation: Exact solutions
- New bounds for the Kuramoto‐Sivashinsky equation
- Finite amplitude side-band stability of a viscous film
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Long Waves on Liquid Films
- Stability enhancement by boundary control in the Kuramoto-Sivashinsky equation
