About classical solutions for high order conserved Kuramoto-Sivashinsky type equation

A priori estimates in context of PDEs (35B45) Initial value problems for higher-order parabolic equations (35K30) Quasilinear parabolic equations (35K59) Classical solutions to PDEs (35A09)

Cites Work

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Convergence of the Kuramoto-Sinelshchikov equation to the Burgers one
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
From the conserved Kuramoto-Sivashinsky equation to a coalescing particles model
Remarks on the Kuramoto-Sivashinsky equation
Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
On the Korteweg-de Vries-Kuramoto-Sivashinsky equation
Feedback control of the Kuramoto-Sivashinsky equation
Global stabilization of the Kuramoto-Sivashinsky equation via distributed output feedback control
Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation
Well-posedness of the classical solution for the Kuramto-Sivashinsky equation with anisotropy effects
Well-posedness result for the Kuramoto-Velarde equation
On the solutions for a Benney-Lin type equation
On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation
Rigorous numerical verification of uniqueness and smoothness in a surface growth model
Convergence of the Ostrovsky equation to the Ostrovsky-Hunter one
Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
Nonlinear instability at the interface between two viscous fluids
Nonlinear saturation of single-mode trapped ion instability
The Well-Posedness of the Kuramoto–Sivashinsky Equation
Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
Convergence of solution to nonlinear dispersive equations
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.
New bounds for the Kuramoto‐Sivashinsky equation
Finite amplitude side-band stability of a viscous film
Existence results for the Kudryashov–Sinelshchikov–Olver equation
A non-homogeneous boundary value problem for the Kuramoto-Sivashinsky equation posed in a finite interval
Pattern formation outside of equilibrium
A nonhomogeneous boundary value problem for the Kuramoto–Sivashinsky equation in a quarter plane
Long Waves on Liquid Films
Stability enhancement by boundary control in the Kuramoto-Sivashinsky equation
\(H^1\) solutions for a Kuramoto-Sinelshchikov-Cahn-Hilliard type equation

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