Stability of KdV Solitons on the Half‐Line: A Study for Nonhomogeneous Boundary Conditions
ABSTRACT We study the orbital stability and asymptotic stability problems for KdV solitons on the right half‐line for nonhomogeneous boundary conditions in the energy space H1(R+)$H^1(\mathbb {R}^+)$. This paper improves the results of Cavalcante and Muñoz [Revista Matemática Iberoamericana 35, no. 6 (2019); and SIAM Journal on Mathematical Analysis 55,
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Abstract Oceanic currents redistribute nutrients, phytoplankton, and other biogenic materials, fundamentally shaping marine biodiversity and ecosystem functioning. Yet, the topology of fine‐scale material transport remains poorly resolved due to limitations in high‐resolution flow observations.
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