5 papers
The conformal plate buckling equation
Sagun Chanillo, Michael K. -H. Kiessling
We study the conformal plate buckling equation (Laplace--Beltrami)^2 u =1, where the L-B operator is for the metric g = e^{2u}g_0, with the standard Euclidean metric on R^2.…
Scattering and radiation damping in gyroscopic Lorentz electrodynamic
Walter Appel, Michael K. -H. Kiessling
Relativistic massive Lorentz electrodynamics (LED) is studied in a ``gyroscopic setup'' where the electromagnetic fields and the particle spin are the only dynamical degrees of fre…
Mathematical Vindications of the "Jeans Swindle"
Michael K. -H. Kiessling
The original Jeans dispersion relation and instability criterion are derived by a mathematically well-defined limiting procedure. The procedure highlights Jeans' physical reasoning…
Surfaces with radially symmetric prescribed Gauss curvature
Sagun Chanillo, Michael K. -H. Kiessling
We study conformally flat surfaces with prescribed Gaussian curvature, described by solutions of the PDE: , with the Gauss curvature function at…
Curl-Free Ginzburg-Landau Vortices
Sagun Chanillo, Michael Kiessling
For certain nonlinear elliptic PDE problems in two dimensions, the classical isoperimetric inequality produces a sharp inequality that violates a Pohozaev identity except for radia…