Counting the stationary states of the Sivashinsky equation

DOI10.1016/0362-546X(94)00121-WzbMath0922.35058MaRDI QIDQ4839223

Amy Novick-Cohen, Michael Grinfeld

Publication date: 17 July 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

one-dimensional Sivashinsky equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Reaction-diffusion equations (35K57)

Related Items (5)

Counting the set of equilibria for a one-dimensional full model for phase transitions with microscopic movements ⋮ Large-amplitude solutions to the Sivashinsky and Riley-Davis equations for directional solidification ⋮ Biological Aggregation Driven by Social and Environmental Factors: A Nonlocal Model and Its Degenerate Cahn--Hilliard Approximation ⋮ Counting the stationary states and the convergence to equilibrium for the 1-D thin film equation ⋮ The steady states and convergence to equilibria for a 1-D chemotaxis model with volume-filling effect

Cites Work

• Local vs. non-local interactions in population dynamics
• Some global results for nonlinear eigenvalue problems
• Phase Dynamics of Weakly Unstable Periodic Structures
• A monotonicity theorem and its application to stationary solutions of the phase field model
• The steady states of one-dimensional Sivashinsky equations
• Counting stationary solutions of the Cahn–Hilliard equation by transversality arguments

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