Analyticity for Kuramoto-Sivashinsky-type equations in two spatial dimensions

DOI10.1002/mma.3631zbMath1339.37081OpenAlexW1951301826MaRDI QIDQ2814078

Xenakis Ioakim, Yiorgos-Sokratis Smyrlis

Publication date: 17 June 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3631

zbMATH Keywords

Kuramoto-Sivashinsky equationglobal attractorsanalyticity of solutions of partial differential equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)

Related Items (5)

Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection ⋮ Nonlinear dynamics of a dispersive anisotropic Kuramoto–Sivashinsky equation in two space dimensions ⋮ Regularity criteria for the Kuramoto-Sivashinsky equation in dimensions two and three ⋮ Global existence for the two-dimensional Kuramoto-Sivashinsky equation with a shear flow ⋮ Global existence and analyticity for the 2D Kuramoto-Sivashinsky equation

Cites Work

• Investigation of the analyticity of dissipative-dispersive systems via a semigroup method
• Optimal bounds on the Kuramoto-Sivashinsky equation
• Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension
• Dissipative dynamics for a class of nonlinear pseudo-differential equations
• Integral manifolds and inertial manifolds for dissipative partial differential equations
• Analyticity for the Kuramoto-Sivashinsky equation
• On the nonlinear interfacial instability of rotating core-annular flow
• Dynamics of a nonlocal Kuramoto-Sivashinsky equation
• Nonlinear stability and dynamical properties for a Kuramoto-Sivashinsky equation in space dimension two
• Local dissipativity in \(L^2\) for the Kuramoto-Sivashinsky equation in spatial dimension 2
• A global attracting set for the Kuramoto-Sivashinsky equation
• On the Korteweg-de Vries-Kuramoto-Sivashinsky equation
• Stability for a class of nonlinear pseudo-differential equations
• Linearly implicit schemes for multi-dimensional Kuramoto–Sivashinsky type equations arising in falling film flows
• Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
• The Well-Posedness of the Kuramoto–Sivashinsky Equation
• On Flame Propagation Under Conditions of Stoichiometry
• Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains
• Stability of the kuramoto‐sivashinsky and related systems
• New bounds for the Kuramoto‐Sivashinsky equation
• Finite amplitude side-band stability of a viscous film
• On the analyticity of certain dissipative-dispersive systems
• A global attracting set for nonlocal Kuramoto–Sivashinsky equations arising in interfacial electrohydrodynamics
• Wave evolution on electrified falling films
• Analyticity for a class of non-linear evolutionary pseudo-differential equations
• Long Waves on Liquid Films

This page was built for publication: Analyticity for Kuramoto-Sivashinsky-type equations in two spatial dimensions