\( \varphi^4\) solitons in Kirchhoff wave equation

DOI10.1007/978-3-030-72563-1_4zbMath1472.35088OpenAlexW3194651835MaRDI QIDQ1982243

N. L. Matiadou, M. Kampitakis, Stelios M. Potirakis, Y. F. Contoyiannis, Perikles G. Papadopoulos

Publication date: 7 September 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-72563-1_4

zbMATH Keywords

spontaneous symmetry breakingstrings vibration

Mathematics Subject Classification ID

Strings (74K05) Soliton solutions (35C08) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

• Unnamed Item
• Unnamed Item
• Central manifold theory for the generalized equation of Kirchhoff strings on \(\mathbb R^N\)
• On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
• Global existence and energy decay for mildly degenerate Kirchhoff’s equations on ℝ^N
• Compact invariant sets for some quasilinear nonlocal Kirchhoff strings on ℝ^N
• Solitary water wave interactions
• Global existence and blow-up results for an equation of Kirchhoff type on \(\mathbb{R}^N\)

This page was built for publication: \( \varphi^4\) solitons in Kirchhoff wave equation