Standing Solitary Euler-Korteweg Waves are Unstable

2013/01/13 by Johannes Höwing, Höwing, Johannes · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #math.AP

paper · pdf · doi:10.48550/arxiv.1301.2767

arxiv created 2013/01/16 · arxiv updated 2013/01/17

Abstract

This short note establishes instability of standing solitary waves in the Euler-Korteweg system.

Cited by

• An analytical proof for the stability of Heimburg-Jackson pulses

Related

• The stability of solitary waves
• Transverse nonlinear instability of Euler-Korteweg solitons
• Stability and instability of solitary waves of Korteweg-de Vries type
• Instability of Standing Waves to the Inhomogeneous Nonlinear Schrödinger Equation with Harmonic Potential
• The Korteweg-de Vries Equation