Spatially inhomogeneous dissipative structures in a periodic boundary-value problem for a nonlocal erosion equation

DOI10.1007/S10958-015-2284-XzbMath1334.35337OpenAlexW1970789333MaRDI QIDQ2516543

D. A. Kulikov

Publication date: 3 August 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2284-x

zbMATH Keywords

bifurcationperiodic solutionloss of stabilityparabolic equation with spatial lag

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Partial functional-differential equations (35R10) Bifurcations in context of PDEs (35B32) Parabolic equations and parabolic systems (35K99) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (1)

Bifurcations of spatially inhomogeneous solutions in two versions of the nonlocal erosion equation

Cites Work

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• Local bifurcations of plane running waves for the generalized cubic Schrödinger equation
• Weak turbulence in periodic flows
• Inertial manifolds for nonlinear evolutionary equations
• Invariant tori of a class of point mappings: The annulus principle
• Invariant tori of a class of point transformations: Preservation of an invariant torus under perturbations
• Formation of wavy nanostructures on the surface of flat substrates by ion bombardment

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