ABSTRACT
We propose a general method to identify nonlinear Fokker-Planck-Kolmogorov equations (FPK equations) as gradient flows on the space of Borel probability measures on Rd with a natural ...
ABSTRACT
We characterize the Bonnet surfaces with the single requirement that the mean curvature H of a surface in R^3 admit a reduction to an ordinary differential equation which possesses the Pai...
ABSTRACT
We characterize the Bonnet surfaces with the single requirement that the mean curvature H of a surface in R^3 admit a reduction to an ordinary differential equation which possesses the Pai...
ABSTRACT
Recent advances in the nonconforming FEM approximation of elliptic PDE eigenvalue problems include the guaranteed lower eigenvalue bounds (GLB) and its adaptive finite element computation....
ABSTRACT
A classical theorem of A.D. Alexandrov asserts that a connected compact smooth hypersurface in Euclidean space with constant mean curvature must be a sphere....
ABSTRACT
We present a butterfly-compressed representation of the Hadamard-Babich (HB) ansatz for the Green's function of the high-frequency Helmholtz equation in smooth inhomogeneous media....
ABSTRACT
Solutions of nonlinear scalar hyperbolic conservation laws (HCLs) are often discontinuous due to shock formation; moreover, locations of shocks are a priori unknown....