A Proof of the Stokes Conjecture in the Theory of Surface Waves

By Pavel I. Plotnikov. 2002

83 citations recorded by the source corpus.

Subfields: Earth-Surface Processes, Oceanography

View Paper: https://www.semanticscholar.org/paper/ff79745c56411677da3b445ec69879a7d40d24bd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Earth-Surface Processes

1. Eugen Varvaruca
2. J. Toland
3. Georg S. Weiss
4. Adrian Constantin

In Oceanography

1. J. Toland
2. Eugen Varvaruca
3. Georg S. Weiss

Citations in the corpus

• Convexity of Stokes Waves of Extreme Form (2004, background): “The first, which generalises [ 14 ] on Stokes waves, is the key to the whole argument.”
• A geometric approach to generalized Stokes conjectures (2009, background): “formal argument in support of his conjecture, which can be found at the end of this introduction, but a rigorous proof has not been given until 1982, when Amick, Fraenkel and Toland [3] and Plotnikov [18, 19] proved the conjecture independently in brilliant papers. These proofsuse an equivalent form”