Existence of multimodal standing gravity waves

Journal of Mathematical Fluid Mechanics

Volumn 7, Issue 3 SUPPL., 2005, Pages

  Iooss, Gérard ^a   Plotnikov, Pavel ^b  

^a INSTITUT NON LINÉAIRE DE NICE   (France)

^b ENERGY SYSTEMS INSTITUTE   (Russian Federation)

Author keywords

Bifurcation theory; Complete resonance; Nonlinear water waves; Small divisors; Standing gravity waves

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; LINEARIZATION; NONLINEAR CONTROL SYSTEMS; PROBLEM SOLVING; RESONANCE; WATER WAVES;

BIFURCATION THEORY; COMPLETE RESONANCE; NONLINEAR WATER WAVES; SMALL DIVISORS; STANDING GRAVITY WAVES;

GRAVITY WAVES;

GRAVITY WAVE; RESONANCE; STANDING WAVE;

GRAVITY WAVE; RESONANCE; STANDING WAVE;

EID: 23944507725     PISSN: 14226928     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00021-005-0164-8     Document Type: Article

References (5)

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2. G. IOOSS, On the standing wave problem in deep water, J. Math. Fluid Mech. 4 (2002), 155-185.
3. G. IOOSS and P. PLOTNIKOV, Multimodal standing gravity waves: a completely resonant system, J. Math. Fluid Mech. 7 (2005), S110-S126.
4. G. IOOSS, P. I. PLOTNIKOV and J. F. TOLAND, Standing waves on an infinitely deep perfect fluid under gravity, Arch. Rat. Mech. Anal. (2005) (to appear).
5. P. I. PLOTNIKOV and J. F. TOLAND, Nash-Moser theory for standing water waves, Arch. Rat. Mech. Anal. 159 (2001), 1-83.