Global Solutions of the Two-Dimensional Kuramoto–Sivashinsky Equation with a Linearly Growing Mode in Each Direction
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[1] Lorenzo Giacomelli,et al. New bounds for the Kuramoto‐Sivashinsky equation , 2005 .
[2] David M. Ambrose,et al. Strong solutions for time-dependent mean field games with non-separable Hamiltonians , 2016, 1605.01745.
[3] J. Bona,et al. Global solutions and ill-posedness for the Kaup system and related Boussinesq systems , 2019, Indiana University Mathematics Journal.
[4] E. Titi,et al. Finite-time singularity versus global regularity for hyper-viscous Hamilton-Jacobi-like equations , 2003 .
[5] A. Biswas,et al. Dissipation Length Scale Estimates for Turbulent Flows: A Wiener Algebra Approach , 2014, J. Nonlinear Sci..
[6] Eitan Tadmor,et al. The well-posedness of the Kuramoto-Sivashinsky equation , 1986 .
[7] Felix Otto,et al. Optimal bounds on the Kuramoto–Sivashinsky equation , 2009 .
[8] Gregory I. Sivashinsky,et al. On the equation of a curved flame front , 1988 .
[9] David Swanson,et al. Existence and generalized Gevrey regularity of solutions to the Kuramoto–Sivashinsky equation in Rn , 2007 .
[10] David M. Ambrose. The radius of analyticity for solutions to a problem in epitaxial growth on the torus , 2019, Bulletin of the London Mathematical Society.
[11] E. Titi,et al. Large dispersion, averaging and attractors: three 1D paradigms , 2016, Nonlinearity.
[12] D. T. Papageorgiou,et al. Nonlinear dynamics of a dispersive anisotropic Kuramoto–Sivashinsky equation in two space dimensions , 2018, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[13] Temporal boundary value problems in interfacial fluid dynamics , 2013 .
[14] Raoul Robert,et al. Global vortex sheet solutions of Euler equations in the plane , 1988 .
[15] Roger Temam,et al. Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attr , 1985 .
[16] G. Sivashinsky. Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations , 1977 .
[17] Michael E. Taylor,et al. Partial Differential Equations III , 1996 .
[18] Y. Kuramoto,et al. Persistent Propagation of Concentration Waves in Dissipative Media Far from Thermal Equilibrium , 1976 .
[19] Huijiang Zhao,et al. Nonlinear Stability and Optimal Decay Rate for a Multidimensional Generalized Kuramoto–Sivashinsky System , 2000 .
[20] David M. Ambrose,et al. Well-Posedness and Asymptotics of a Coordinate-Free Model of Flame Fronts , 2020, SIAM J. Appl. Dyn. Syst..
[21] D. Ambrose,et al. EFFICIENT COMPUTATION OF COORDINATE-FREE MODELS OF FLAME FRONTS , 2021, The ANZIAM Journal.
[22] Global Existence and Analyticity for the 2D Kuramoto–Sivashinsky Equation , 2017, 1708.08752.
[23] G. I. Siv Ashinsky,et al. Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations , 1988 .
[24] G. Sivashinsky,et al. On the nonlinear thermal diffusive theory of curved flames , 1987 .
[25] D T Papageorgiou,et al. An in-depth numerical study of the two-dimensional Kuramoto–Sivashinsky equation , 2015, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[26] Tom Gambill,et al. Uncertainty estimates and L2 bounds for the Kuramoto-Sivashinsky equation , 2005, math/0508481.
[27] G. Sell,et al. Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains , 1992 .
[28] D. Ambrose. Small strong solutions for time-dependent mean field games with local coupling , 2016 .
[29] F. Otto,et al. New Bounds for the Inhomogenous Burgers and the Kuramoto-Sivashinsky Equations , 2015, 1503.06059.
[30] I. Kukavica,et al. Anisotropic Estimates for the Two-Dimensional Kuramoto–Sivashinsky Equation , 2014 .
[31] Anna L. Mazzucato,et al. Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection , 2020, Communications in Partial Differential Equations.
[32] L. Molinet. Local Dissipativity in L2 for the Kuramoto–Sivashinsky Equation in Spatial Dimension 2 , 2000 .
[33] Igor Kukavica,et al. On the Global Existence for the Kuramoto-Sivashinsky Equation , 2021, Journal of Dynamics and Differential Equations.
[34] Jonathan Goodman,et al. Stability of the kuramoto-sivashinsky and related systems† , 1994 .