Determining nodes for the Kuramoto-Sivashinsky equation
From MaRDI portal
Publication:1898811
DOI10.1007/BF02219361zbMath0835.35067OpenAlexW2026455173WikidataQ115392681 ScholiaQ115392681MaRDI QIDQ1898811
Publication date: 25 September 1995
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02219361
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Initial value problems for higher-order parabolic equations (35K30)
Related Items
Distinguishing smooth functions by a finite number of point values, and a version of the Takens embedding theorem, Trivial stationary solutions to the Kuramoto-Sivashinsky and certain nonlinear elliptic equations, Determining nodes for the damped forced periodic Korteweg-de Vries equation, Dynamical bifurcation for the Kuramoto-Sivashinsky equation, Determining nodes for partly dissipative reaction diffusion systems, A linearized Kuramoto-Sivashinsky PDE via an imaginary-Brownian-time-Brownian-angle process, Determining nodes for semilinear parabolic equations, Estimating the number of asymptotic degrees of freedom for nonlinear dissipative systems, Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values, Asymptotics of solutions to the periodic problem for a Burgers type equation, L-Kuramoto-Sivashinsky SPDEs in one-to-three dimensions: L-KS kernel, sharp Hölder regularity, and Swift-Hohenberg law equivalence, Parametrising the attractor of the two-dimensional Navier-Stokes equations with a finite number of nodal values, Long time dynamics of forced critical SQG, Reduced-order-based feedback control of the Kuramoto--Sivashinsky equation, Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation, Determining Functionals for the Strongly Damped Nonlinear Wave Equation, The convective Cahn-Hilliard equation, A remark on sets of determining elements for reaction-diffusion systems, The finiteness of determining degrees of freedom for the quasi-geostrophic multi-layer ocean model, A BROWNIAN-TIME EXCURSION INTO FOURTH-ORDER PDES, LINEARIZED KURAMOTO–SIVASHINSKY, AND BTP-SPDES ON ℝ+ × ℝd, A determining form for the two-dimensional Navier-Stokes equations: The Fourier modes case
Cites Work
- Unnamed Item
- Unnamed Item
- Spectral barriers and inertial manifolds for dissipative partial differential equations
- Gevrey class regularity for the solutions of the Navier-Stokes equations
- Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
- On the dimension of the attractors in two-dimensional turbulence
- Infinite-dimensional dynamical systems in mechanics and physics
- Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation
- Analyticity for the Kuramoto-Sivashinsky equation
- Oscillations of solutions of the Kuramoto-Sivashinsky equation
- A global attracting set for the Kuramoto-Sivashinsky equation
- Determination of the Solutions of the Navier-Stokes Equations by a Set of Nodal Values
- On the number of determining nodes for the Ginzburg-Landau equation
- Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation
- Stability of the kuramoto‐sivashinsky and related systems
- Hausdorff length of level sets for solutions of the Ginzburg-Landau equation
