Stability of structures and asymptotics of nonlinear parabolic type equations solutions with transformation of arguments

DOI10.1134/S1995080222020123zbMath1486.35056OpenAlexW4226162908MaRDI QIDQ2121928

A. A. Kornuta, V. A. Lukianenko

Publication date: 5 April 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222020123

zbMATH Keywords

Galerkin approximationcenter manifold methodmetastable structuresequations with involution in spatial variable

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Partial functional-differential equations (35R10) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Semilinear parabolic equations (35K58)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two-dimensional stationary structures in a parabolic equation with an inversion transformation of its spatial arguments
• Diffraction of surface waves in metals and metamaterials
• Surface plasmon-polariton waves in optically active media
• Bifurcations of self-oscillatory solutions to a nonlinear parabolic equation with a rotating spatial argument and time delay
• Geometric theory of semilinear parabolic equations
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Self-excited oscillations in the nonlinear parabolic problem with transformed argument
• Stable structures of nonlinear parabolic equations with transformation of spatial variables
• On the interaction of traveling waves in a parabolic functional-differential equation
• Rotating structures in a parabolic functional-differential equation
• Bifurcations in the presence of a symmetry group
• Optical buffering and mechanisms for its occurrence
• NORMALIZATION IN THE SYSTEMS WITH SMALL DIFFUSION
• Bifurcation of periodic solutions for nonlinear parabolic functional differential equations arising in optoelectronics

This page was built for publication: Stability of structures and asymptotics of nonlinear parabolic type equations solutions with transformation of arguments