Analyticity for the Kuramoto-Sivashinsky equation

From MaRDI portal
Publication:1313329

DOI10.1016/0167-2789(93)90168-ZzbMath0785.35093OpenAlexW1994213630MaRDI QIDQ1313329

Pierre Collet, Joachim Stubbe, Jean-Pierre Eckmann, Henri Epstein

Publication date: 27 April 1994

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90168-z




Related Items

Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advectionOn the well-posedness of an anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equationNumerical computation of \(\varepsilon\)-entropy for parabolic equations with analytic solutionsImplicit-explicit BDF methods for the Kuramoto-Sivashinsky equationOptimal bounds on the Kuramoto-Sivashinsky equationOscillations of solutions of the Kuramoto-Sivashinsky equationSingularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transitionDetermining nodes for the Kuramoto-Sivashinsky equationNonlinear dynamics of a dispersive anisotropic Kuramoto–Sivashinsky equation in two space dimensionsA quintic B-spline based differential quadrature method for numerical solution of Kuramoto-Sivashinsky equationRegularity criteria for the Kuramoto-Sivashinsky equation in dimensions two and threeSpace analyticity for the Navier-Stokes and related equations with initial data in \(L^p\)Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equationSuper convergence analysis of fully discrete Hermite splines to simulate wave behaviour of Kuramoto-Sivashinsky equationInvestigation of the analyticity of dissipative-dispersive systems via a semigroup methodStudy of \(4^{th}\) order Kuramoto-Sivashinsky equation by septic Hermite collocation methodAn improvised extrapolated collocation algorithm for solving Kuramoto–Sivashinsky equationParametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal valuesAsymptotic estimates and stability analysis of Kuramoto-Sivashinsky type modelsOptimal parameter-dependent bounds for Kuramoto-Sivashinsky-type equationsOptimal Control of Thin Liquid Films and Transverse Mode EffectsSteady state bifurcations for the Kuramoto-Sivashinsky equation: a computer assisted proofParametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal valuesOn the non-homogeneous stationary Kuramoto-Sivashinsky equationSPATIAL ANALYTICITY PROPERTIES OF NONLINEAR WAVESOn the dynamics of 3D electrified falling filmsExistence and generalized Gevrey regularity of solutions to the Kuramoto-Sivashinsky equation in \(\mathbb R^n\)The convective Cahn-Hilliard equationAnalyticity for Kuramoto-Sivashinsky-type equations in two spatial dimensionsGlobal existence for the two-dimensional Kuramoto-Sivashinsky equation with a shear flowDissipation enhancement of planar helical flows and applications to three-dimensional Kuramoto-Sivashinsky and Keller-Segel equationsSpace analyticity for the nonlinear heat equation in a bounded domainA geometric method for infinite-dimensional chaos: symbolic dynamics for the Kuramoto-Sivashinsky PDE on the lineAnalyticity for a class of non-linear evolutionary pseudo-differential equationsPostprocessing Fourier spectral methods: The case of smooth solutionsNumerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto--Sivashinsky EquationDissipativity, analyticity and viscous shocks in the (de)stabilized Kuramoto-Sivashinsky equationNew time differencing methods for spectral methods



Cites Work