Uniqueness for Autonomous Planar Differential Equations and the Lagrangian Formulation of Water Flows with Vorticity

DOI10.2991/jnmp.2004.11.4.10zbMath1075.34004OpenAlexW2008139216MaRDI QIDQ4653192

Erik Wahlén

Publication date: 7 March 2005

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2004.11.4.10

zbMATH Keywords

Hamiltonian planar systemsuniqueness for the initial value problemswater flows with vorticity

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (5)

Local bifurcation for steady periodic capillary water waves with constant vorticity ⋮ On the Cauchy problem for planar autonomous Hamiltonian systems with a discontinuous right-hand side ⋮ A Nagumo-like uniqueness result for a second order ODE ⋮ Steady periodic capillary waves with vorticity ⋮ A unique continuation principle for steady symmetric water waves with vorticity

Cites Work

• Exact periodic traveling water waves with vorticity
• On the deep water wave motion
• A Modern Introduction to the Mathematical Theory of Water Waves
• Exact steady periodic water waves with vorticity
• Edge waves along a sloping beach
• Symmetry of steady periodic surface water waves with vorticity
• Unnamed Item

This page was built for publication: Uniqueness for Autonomous Planar Differential Equations and the Lagrangian Formulation of Water Flows with Vorticity