Well-Posedness and Asymptotics of a Coordinate-Free Model of Flame Fronts
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Publication:5016783
DOI10.1137/20M1370793zbMath1479.35086arXiv2010.00737OpenAlexW3211332384MaRDI QIDQ5016783
David M. Ambrose, J. Douglas Wright, Fazel Hadadifard
Publication date: 14 December 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.00737
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for higher-order parabolic equations (35K30) Semilinear parabolic equations (35K58)
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Continuity in expectation of odd random attractors for stochastic Kuramoto-Sivashinsky equations ⋮ Well-posedness of a two-dimensional coordinate-free model for the motion of flame fronts
Cites Work
- Unnamed Item
- Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation
- Well-posedness of two-dimensional hydroelastic waves with mass
- Stability and attractors for the quasi-steady equation of cellular flames
- On the equation of a curved flame front
- On the \(\kappa\)-\(\theta\) model of cellular flames: existence in the large and asymptotics
- Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
- Removing the stiffness from interfacial flows with surface tension
- Instabilities in a two-dimensional combustion model with free boundary
- Local dissipativity in \(L^2\) for the Kuramoto-Sivashinsky equation in spatial dimension 2
- The rigorous approximation of long-wavelength capillary-gravity waves
- On the well-posedness of an anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equation
- Global solutions of the two-dimensional Kuramoto-Sivashinsky equation with a linearly growing mode in each direction
- Global existence and analyticity for the 2D Kuramoto-Sivashinsky equation
- Weakly nonlinear asymptotics of the \(k-\theta\) model of cellular flames: the Q-S equation
- Long wave approximations for water waves
- New Bounds for the Inhomogenous Burgers and the Kuramoto-Sivashinsky Equations
- The Well-Posedness of the Kuramoto–Sivashinsky Equation
- Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
- Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains
- Stability of the kuramoto‐sivashinsky and related systems
- Well-Posedness of Vortex Sheets with Surface Tension
- A bounded global absorbing set for the Burgers–Sivashinsky equation in space dimension two
- New bounds for the Kuramoto‐Sivashinsky equation
- Well-posedness of two-dimensional hydroelastic waves
- EFFICIENT COMPUTATION OF COORDINATE-FREE MODELS OF FLAME FRONTS
- Corrections to the KdV Approximation for Water Waves
- The long-time motion of vortex sheets with surface tension
- A critical case of stability in a free boundary problem
- On the global existence for the Kuramoto-Sivashinsky equation
