87 citations · 877 across the 97 of their papers we have counts for
5 papers · 1 filter
Nonexistence of smooth solutions for the general compressible Ericksen -- Leslie equations in three dimensions
Tudor Ratiu, Olga Rozanova
We prove that the smooth solutions to the Cauchy problem for the compressible general three-dimensional Ericksen--Leslie system modeling nematic liquid crystal flow with conserved…
Gradient flows in the normal and Kähler metrics and triple bracket generated metriplectic systems
Anthony M. Bloch, Philip J. Morrison, Tudor S. Ratiu
The dynamics of gradient and Hamiltonian flows with particular application to flows on adjoint orbits of a Lie group and the extension of this setting to flows on a loop group are…
On the coupling between an ideal fluid and immersed particles
Henry O. Jacobs, Tudor S. Ratiu, Mathieu Desbrun
In this paper we use Lagrange-Poincare reduction to understand the coupling between a fluid and a set of Lagrangian particles that are supposed to simulate it. In particular, we re…
Moduli spaces of toric manifolds
Álvaro Pelayo, Ana Rita Pires, Tudor S. Ratiu +1
We construct a distance on the moduli space of symplectic toric manifolds of dimension four. Then we study some basic topological properties of this space, in particular, path-conn…
Geometry of non-holonomic diffusion
Simon Hochgerner, Tudor S. Ratiu
We study stochastically perturbed non-holonomic systems from a geometric point of view. In this setting, it turns out that the probabilistic properties of the perturbed system are…