DOUBLY CONNECTED V-STATES FOR THE PLANAR EULER EQUATIONS

作者：De la Hoz Francisco; Hmidi Taoufik; Mateu Joan; Verdera Joan

来源：SIAM Journal on Mathematical Analysis, 2016, 48(3): 1892-1928.

DOI：10.1137/140992801

• Euler equations
• doubly connected V-states
• bifurcation theory

We prove existence of doubly connected V-states for the planar Euler equations which are not annuli. The proof proceeds by bifurcation from annuli at simple eigenvalues. The bifurcated V-states we obtain enjoy an m-fold symmetry for some m >= 3.

• 出版日期2016