On the well-posedness of an anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equation
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Publication:2127375
DOI10.1016/j.physd.2020.132560zbMath1486.35261arXiv1908.09239OpenAlexW2969308867MaRDI QIDQ2127375
Publication date: 20 April 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.09239
Semilinear parabolic equations (35K58) Initial-boundary value problems for higher-order parabolic systems (35K52)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations
- Approximate deconvolution models of turbulence. Analysis, phenomenology and numerical analysis.
- Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt approximation
- Trivial stationary solutions to the Kuramoto-Sivashinsky and certain nonlinear elliptic equations
- Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
- Spectral barriers and inertial manifolds for dissipative partial differential equations
- Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation
- Existence and generalized Gevrey regularity of solutions to the Kuramoto-Sivashinsky equation in \(\mathbb R^n\)
- Remarks on the Kuramoto-Sivashinsky equation
- Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
- The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
- Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
- Compact sets in the space \(L^ p(0,T;B)\)
- Integral manifolds and inertial manifolds for dissipative partial differential equations
- Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation
- Analyticity for the Kuramoto-Sivashinsky equation
- Infinite-dimensional dynamical systems in mechanics and physics.
- A global attracting set for the Kuramoto-Sivashinsky equation
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- Spatial analyticity on the global attractor for the Kuramoto-Sivashinsky equation
- Vorticity and Incompressible Flow
- Global Regularity vs. Finite-Time Singularities: Some Paradigms on the Effect of Boundary Conditions and Certain Perturbations
- Well-posedness for the diffusive 3D Burgers equations with initial data in $H^{1/2}$
- Spectral Methods
- Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
- A connection between the Camassa–Holm equations and turbulent flows in channels and pipes
- On blow-up of solutions of the Kuramoto-Sivashinsky equation
- The Well-Posedness of the Kuramoto–Sivashinsky Equation
- Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
- 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
- Finite-time singularity versus global regularity for hyper-viscous Hamilton–Jacobi-like equations
- A bounded global absorbing set for the Burgers–Sivashinsky equation in space dimension two
- Nonlinear dynamics of a dispersive anisotropic Kuramoto–Sivashinsky equation in two space dimensions
- Bounds on mean energy in the Kuramoto–Sivashinsky equation computed using semidefinite programming
- Large dispersion, averaging and attractors: three 1D paradigms
- Fourth-Order Time-Stepping for Stiff PDEs
- An in-depth numerical study of the two-dimensional Kuramoto–Sivashinsky equation
- Finite Difference Method for (2+1)-Kuramoto-Sivashinsky Equation
- Spectral Methods
- Analyticity and Gevrey class regularity for a Kuramoto-Sivashinsky equation in space dimension two
