Strong instability of standing waves for a system NLS with quadratic interaction

DOI10.1007/S10473-020-0214-6zbMath1499.35554arXiv1810.00676OpenAlexW3016598992MaRDI QIDQ2153152

Van Duong Dinh

Publication date: 1 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.00676

zbMATH Keywords

instabilityblow-upground statessystem NLS quadratic interaction

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Special quantum systems, such as solvable systems (81Q80)

Related Items (6)

On a system of nonlinear Schrödinger equations with quadratic interaction and L2-critical growth ⋮ Prescribed solutions of a nonlinear fractional Schrödinger system with quadratic interaction ⋮ Blow-up results for systems of nonlinear Schrödinger equations with quadratic interaction ⋮ Strong blow-up instability for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equations ⋮ Dynamics of solutions of a fractional NLS system with quadratic interaction ⋮ Scattering for quadratic-type Schrödinger systems in dimension five without mass-resonance

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