Symmetry of internal waves

DOI10.1016/0362-546X(95)00146-MzbMath0872.76020OpenAlexW2054699117MaRDI QIDQ4714609

Liliane A. Maia

Publication date: 7 November 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(95)00146-m

zbMATH Keywords

monotonicitygravitymaximum principlefree boundary problemDirichlet boundary conditionsquasilinear equationinternal discontinuitieshomogeneous fluid systeminfinite two-dimensional strippositive solitary wave solution

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Internal waves for incompressible inviscid fluids (76B55) Soliton equations (35Q51) Reaction effects in flows (76V05)

Related Items

On the existence and qualitative theory of stratified solitary water waves ⋮ Existence and qualitative theory for stratified solitary water waves ⋮ Some criteria for the symmetry of stratified water waves ⋮ Solitary water waves with discontinuous vorticity ⋮ Large-Amplitude Solitary Waves in Two-Layer Density Stratified Water

Cites Work

• Symmetry and related properties via the maximum principle
• Symmetry of free-surface flows
• Asymptotic expansions of solutions of ordinary differential equations in Hilbert space
• A Global Theory of Internal Solitary Waves in Two-Fluid Systems
• Symmetry of solitary waves
• Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains
• Properties of solutions of ordinary differential equations in banach space
• The existence of solitary waves
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