Well-posedness result for the Kuramoto-Velarde equation
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Publication:2072253
DOI10.1007/s40574-021-00303-7zbMath1481.35129OpenAlexW3185224979MaRDI QIDQ2072253
Lorenzo di Ruvo, Giuseppe Maria Coclite
Publication date: 26 January 2022
Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40574-021-00303-7
Nonlinear parabolic equations (35K55) Initial value problems for nonlinear higher-order PDEs (35G25) Classical solutions to PDEs (35A09)
Related Items (4)
On \(H^2\)-solutions for a Camassa-Holm type equation ⋮ On the classical solutions for the high order Camassa-Holm type equations ⋮ \(H^1\) solutions for a Kuramoto-Velarde type equation ⋮ On a diffusion model for growth and dispersal in a population
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
- Sharp well-posedness results for the Kuramato-Velarde equation
- Null controllability and stabilization of the linear Kuramoto-Sivashinsky equation
- Partial differential equations. I: Basic theory
- Existence of traveling wave solutions for a nonlinear dissipative-dispersive equation
- Remarks on the Kuramoto-Sivashinsky equation
- Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
- Phase separation dynamics in driven diffusive systems
- A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth
- Dissipative solitons
- 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 solution for the Kuramto-Sivashinsky equation with anisotropy effects
- On the initial-boundary value problem for a Kuramoto-Sinelshchikov type equation
- On localization solutions of an equation governing Benard--Marangoni convection
- Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
- Periodic solutions of the non-integrable convective fluid equation
- Nonlinear instability at the interface between two viscous fluids
- The Well-Posedness of the Kuramoto–Sivashinsky Equation
- Bénard–Marangoni convection with a deformable interface and poorly conducting boundaries
- Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
- Convergence of solution to nonlinear dispersive equations
- Initial value problem and asymptotic low dimensional behavior in the Kuramoto-Velarde equation
- 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
- Solitary-Wave and Periodic Solutions of the Kuramoto-Velarde Dispersive Equation
- Finite amplitude side-band stability of a viscous film
- A non-homogeneous boundary value problem for the Kuramoto-Sivashinsky equation posed in a finite interval
- 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
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