Large-Amplitude Solitary Waves in Two-Layer Density Stratified Water
DOI10.1137/20M1383537zbMath1494.35133arXiv2012.00142MaRDI QIDQ4958021
Publication date: 6 September 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.00142
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Nonlinear elliptic equations (35J60) Internal waves for incompressible inviscid fluids (76B55) Free boundary problems for PDEs (35R35) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07) Soliton solutions (35C08) Euler equations (35Q31) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)
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Cites Work
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- Solitary water waves of large amplitude generated by surface pressure
- Some criteria for the symmetry of stratified water waves
- Small-amplitude solitary and generalized solitary traveling waves in a gravity two-layer fluid with vorticity
- A characteristic property of spheres
- Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
- Exact solitary water waves with vorticity
- Small-amplitude Stokes and solitary gravity water waves with an arbitrary distribution of vorticity
- On the existence of extreme waves and the Stokes conjecture with vorticity
- A reduction principle for nonautonomous systems in infinite-dimensional spaces
- Symmetry and related properties via the maximum principle
- On solitary water-waves of finite amplitude
- Center manifolds in equations from hydrodynamics
- Some new monotonicity theorems with applications to free boundary problems.
- Existence and qualitative theory for stratified solitary water waves
- Solitary water waves with discontinuous vorticity
- Sur la détermination rigoureuse des ondes permanentes périodiques d'ampleur finie
- Nonexistence of subcritical solitary waves
- Steady stratified periodic gravity waves with surface tension. II: Global bifurcation.
- A symmetry problem in potential theory
- Large-Amplitude Solitary Water Waves with Vorticity
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
- Global Structure of the Solutions of Non-Linear Real Analytic Eigenvalue Problems
- The existence of periodic waves which degenerate into a solitary wave
- Lectures on the Theory of Water Waves
- The Froude number for solitary water waves with vorticity
- Stratified Steady Periodic Water Waves
- A Global Theory of Internal Solitary Waves in Two-Fluid Systems
- Reduction of quasilinear elliptic equations in cylindrical domains with applications
- Broadening of interfacial solitary waves
- On periodic water-waves and their convergence to solitary waves in the long-wave limit
- Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains
- On the mass, momentum, energy and circulation of a solitary wave. II
- The existence of solitary water waves
- Variational problems with two phases and their free boundaries
- Exact steady periodic water waves with vorticity
- Symmetry of internal waves
- On the method of moving planes and the sliding method
- LONG NONLINEAR INTERNAL WAVES
- A unified theory of conjugate flows
- Bifurcation Theory for Analytic Operators
- Continuous dependence on the density for stratified steady water waves
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