Unconditional energy-stable method for the Swift–Hohenberg equation over arbitrarily curved surfaces with second-order accuracy

Pattern formation outside of equilibrium

M. C. Cross, P. C. Hohenberg · Reviews of Modern Physics · 1993 · 7.8K citations

Natural Sciences, Physics, Dynamical Systems +16

Hydrodynamic fluctuations at the convective instability

J. B. Swift, P. C. Hohenberg · Physical review. A, General physics · 1977 · 1.6K citations

Natural Sciences, Physics, Dynamical Systems +11

Effects of additive noise at the onset of Rayleigh-Bénard convection

P. C. Hohenberg, J. B. Swift · Physical Review A · 1992 · 208 citations

Natural Sciences, Meteorology, Fluid Dynamics +12

Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation

David J. B. Lloyd, Björn Sandstede, Daniele Avitabile et al. · SIAM Journal on Applied Dynamical Systems · 2008 · 198 citations

Natural Sciences, Mathematics, Physics +11

A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction–Diffusion Equations on Surfaces

Varun Shankar, Grady B. Wright, Robert M. Kirby et al. · Journal of Scientific Computing · 2014 · 157 citations

Natural Sciences, Chemical Engineering, Computational Engineering +12