Instability and spectrum of the linearized two-phase fluids interface problem at shear flows

DOI10.1007/s00205-024-02024-5MaRDI QIDQ6615227

Xiao Liu

Publication date: 8 October 2024

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Incompressible inviscid fluids (76Bxx) Hydrodynamic stability (76Exx)

Cites Work

• On the wind generation of water waves
• Local well-posedness for fluid interface problems
• Unstable surface waves in running water
• Erratum to: Unstable surface waves in running water
• On the stability of inviscid parallel shear flows with a free surface
• On the generation of surface waves by shear flows
• On the generation of surface waves by shear flows Part 3. Kelvin-Helmholtz instability
• On the generation of surface waves by shear flows. Part 2
• Note on a paper of John W. Miles
• On the motion of vortex sheets with surface tension in three-dimensional Euler equations with vorticity
• Growth rates for the linearized motion of fluid interfaces away from equilibrium
• Instability of Some Ideal Plane Flows
• Instability in Parallel Flows Revisited
• Hydrodynamic Stability
• A priori estimates for fluid interface problems
• Surface waves in flowing water
• On the stability or instability of certain fluid motions.

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