An Elliptic Problem Related to Planar Vortex Pairs
From MaRDI portal
Publication:5317392
DOI10.1137/S003614100343055XzbMath1076.35039OpenAlexW2018699077MaRDI QIDQ5317392
Shusen Yan, Jianfu Yang, Gongbao Li
Publication date: 16 September 2005
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s003614100343055x
Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Viscous vortex flows (76D17)
Related Items (22)
Steady vortex patches near a nontrivial irrotational flow ⋮ Multiple solutions for a free boundary problem arising in plasma physics ⋮ Existence of Multiple Boundary Vortexes in Planar Incompressible Euler Flows ⋮ Desingularization of 3D steady Euler equations with helical symmetry ⋮ Helical vortices with small cross-section for 3D incompressible Euler equation ⋮ Multiple solutions for an elliptic problem related to vortex pairs ⋮ On 2D steady Euler flows with small vorticity near the boundary ⋮ Desingularization of vortex rings in 3 dimensional Euler flows ⋮ Multiplicity of solutions for the plasma problem in two dimensions ⋮ Desingularization of Vortices for Two-Dimensional Steady Euler Flows via the Vorticity Method ⋮ Regularization of point vortices pairs for the Euler equation in dimension two ⋮ Planar vortex patch problem in incompressible steady flow ⋮ Multi-peak solutions to two types of free boundary problems ⋮ Desingularization of multiscale solutions to planar incompressible Euler equations ⋮ Existence of steady symmetric vortex patch in a disk ⋮ Desingularization of vortices for the Euler equation ⋮ Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem ⋮ Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc ⋮ A note on steady vortex flows in two dimensions ⋮ Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain ⋮ Regularization of planar vortices for the incompressible flow ⋮ Stability of 2D steady Euler flows related to least energy solutions of the Lane-Emden equation
This page was built for publication: An Elliptic Problem Related to Planar Vortex Pairs
