2002/05/16 by M. Oh, Myunghyun Oh, Kevin Zumbrun +1 · 1 citation
Earth and Planetary Sciences · Engineering · Mathematics · #Conservation law #Eigenvalues and eigenvectors #Fluid Dynamics and Thin Films #Hamiltonian system #Homoclinic orbit #Instability #Inviscid flow #Navier-Stokes equation solutions #Ocean Waves and Remote Sensing #Perturbation (astronomy) #Riemann hypothesis #Stability (learning theory) #Stability theory #math.AP
paper · pdf · doi:10.1007/s00205-002-0216-7
150 pp
arxiv created 2002/05/16 · openalex publication_date 2003/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We establish instability of periodic traveling waves arising in conservation laws featuring phase transition. The analysis uses the Evans function framework introduced by R.A. Gardner in the periodic case. The main new tool is a periodic generalization of the stability index introduced by Gardner and Zumbrun in the traveling front or pulse case.