Showing math.DSShow all
3 papers · 1 filter
math.DS1999
Shock formation for forced Burgers equation and application
M. Bialy
We study the inviscid Burgers equation in the presence of spatially periodic potential force. We prove that for foliated initial value problem there are always solutions developing…
math.DS1999
Variational properties of a nonlinear elliptic equation and rigidity
M. L. Bialy, R. S. MacKay
We consider in this paper elliptic equations which are perturbations of Laplace's equation by a compactly supported potential. We show that in dimension greater than three for a wi…
math.DS1999
Rigidity for periodic magnetic fields
M. L. Bialy
We study the motion of a charge on a conformally flat Riemannian torus in the presence of magnetic field. We prove that for any non-zero magnetic field there always exist orbits of…