Stability of nonconstant steady-state solutions to a Ginzburg–Landau equation in higher space dimensions

Finite bandwidth, finite amplitude convection

Alan C. Newell, J. A. Whitehead · Journal of Fluid Mechanics · 1969 · 1.5K citations

Natural Sciences, Mechanical Engineering, Physics +12

THE THEORY OF PARTIAL DIFFERENTIAL EQUATIONS

F. G. Friedlander · Bulletin of the London Mathematical Society · 1975 · 472 citations

Natural Sciences, Mathematics, Differential Equations +7

Asymptotic Behavior and Stability of Solutions of Semilinear Diffusion Equations

Hiroshi Matano · Publications of the Research Institute for Mathematical Sciences · 1979 · 375 citations · Full text

Natural Sciences, Mathematics, Differential Equations +12

Instability results for reaction diffusion equations with Neumann boundary conditions

Richard G. Casten, Charles J. Holland · Journal of Differential Equations · 1978 · 254 citations

Natural Sciences, Physics, Dynamical Systems +15

Low-dimensional behaviour in the complex Ginzburg-Landau equation

Charles R. Doering, John Gibbon, Darryl D. Holm et al. · Nonlinearity · 1988 · 227 citations

Natural Sciences, Mathematics, Physics +17