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This paper investigates which smooth manifolds arise as quotients (orbit spaces) of flows of vector fields. Such quotient maps were already known to be surjective on fundamental groups, but this paper shows that every epimorphism of…

Dynamical Systems · Mathematics 2017-03-14 Robert E. Gompf

Mixing in open incompressible flows is studied in a model problem with inhomogeneous passive scalar injection on an inlet boundary. As a measure of the efficiency of stirring, the bulk scalar concentration variance is bounded and the bound…

Fluid Dynamics · Physics 2015-05-18 Jean-Luc Thiffeault , Charles R. Doering

Many physical systems of interest involve the close interaction of a flow in a domain with complex, time-varying boundaries. Treatment of boundaries of this nature is cumbersome due to the difficulty in explicitly tracking boundaries that…

Fluid Dynamics · Physics 2025-02-25 Emma M. Boyd , Eric Sandall , Maycon Meier , J. Matt Quinlan , Brandon Runnels

Recently, in Zhang et al. (2020), it was found that in rapidly rotating turbulent Rayleigh-B\'enard convection (RBC) in slender cylindrical containers (with diameter-to-height aspect ratio $\Gamma=1/2$) filled with a small-Prandtl-number…

Fluid Dynamics · Physics 2021-07-01 Xuan Zhang , Robert E. Ecke , Olga Shishkina

We consider the stability of two-dimensional viscous flows in an annulus with permeable boundary. In the basic flow, the velocity has nonzero azimuthal and radial components, and the direction of the radial flow can be from the inner…

Fluid Dynamics · Physics 2022-08-10 Konstantin Ilin , Andrey Morgulis

The quasiclassical theory of superconductivity provides a methodology to study emergent phenomena in hybrid structures comprised of superconductors interfaced with other materials. A key component in this theory is the boundary condition…

Superconductivity · Physics 2022-11-09 Jacob Linder , Morten Amundsen

In this study, we use numerical simulations to investigate the flow field induced by a single magnetic microrobot rotating with a constant angular speed about an axis perpendicular to an underlying surface. A parallel solver for steady…

Fluid Dynamics · Physics 2020-03-13 Zhou Ye , Anirban Jana , Metin Sitti

Inserting a magnetic flux into a two-dimensional one-particle Hamiltonian leads to a spectral flow through a given gap which is equal to the Chern number of the associated Fermi projection. This paper establishes a generalization to higher…

Mathematical Physics · Physics 2018-11-30 Alan L. Carey , Hermann Schulz-Baldes

We present a set of new energy-stable open boundary conditions for tackling the backflow instability in simulations of outflow/open boundary problems for incompressible flows. These boundary conditions are developed through two steps: (i)…

Fluid Dynamics · Physics 2019-05-22 Naxian Ni , Zhiguo Yang , Suchuan Dong

We describe a simple experiment involving spheres rolling down an inclined plane towards a bottleneck and through a gap. Results of the experiment indicate that flow rate can be increased by placing an obstruction at optimal positions near…

Soft Condensed Matter · Physics 2017-03-23 Alan Murray , Fernando Alonso-Marroquin

We derive a low energy effective field theory for chiral superfluids, which accounts for both spontaneous symmetry breaking and fermionic ground-state topology. Using the theory, we show that the odd (or Hall) viscosity tensor, at small…

Quantum Gases · Physics 2019-09-16 Omri Golan , Carlos Hoyos , Sergej Moroz

We study a charged scalar field in a bulk 3+1 dimensional anti-deSitter spacetime with a planar black hole background metric. Through the AdS/CFT correspondence this is equivalent to a strongly coupled field theory in 2+1 dimensions…

High Energy Physics - Theory · Physics 2019-08-14 Paul Mikula , Margaret E. Carrington , Gabor Kunstatter

In this paper we consider the Ricci flow on manifolds with boundary with appropriate control on its mean curvature and conformal class. We obtain higher order estimates for the curvature and second fundamental form near the boundary,…

Differential Geometry · Mathematics 2016-11-07 Panagiotis Gianniotis

We study anomalies of discrete internal global symmetry $G$ in two-dimensional rational conformal field theories based on twisted torus partition functions. The anomaly of $G$ can be seen from the noncommutativity of two symmetry lines…

High Energy Physics - Theory · Physics 2019-11-06 Ken Kikuchi , Yang Zhou

We analyze how deforming symmetric product orbifolds of two-dimensional $\mathcal{N}=2$ conformal field theories by an exactly marginal operator lifts higher spin currents present at the orbifold point. We find on the one hand that these…

High Energy Physics - Theory · Physics 2022-08-25 Luis Apolo , Alexandre Belin , Suzanne Bintanja , Alejandra Castro , Christoph A. Keller

Interpreting renormalization group flows as solitons interpolating between different fixed points, we ask various questions that are normally asked in soliton physics but not in renormalization theory. Can one count RG flows? Are there…

High Energy Physics - Theory · Physics 2016-02-17 Sergei Gukov

In the above paper the authors treat the boundary layer flow along a stationary, vertical, permeable, flat plate within a vertical free stream. Fluid is sucked or injected through the vertical plate. The fluid species concentration at the…

Fluid Dynamics · Physics 2014-07-30 Asterios Pantokratoras

In this paper, we investigate the effect of boundary surface roughness on numerical simulations of incompressible fluid flow past a cylinder in two and three spatial dimensions furnished with slip boundary conditions. The governing…

Fluid Dynamics · Physics 2025-11-05 Matthias Maier , Peter Munch , Murtazo Nazarov

This letter describes a periodically oscillating microfoam flow. For constant input parameters, both the produced bubble volume and the flow rate vary over a factor two. We explicit the link between foam topology alternance and flow rate…

Fluid Dynamics · Physics 2009-11-11 Jan-Paul Raven , Philippe Marmottant

We study one- and two-dimensional periodic tight-binding models under the presence of a potential that grows to infinity in one direction, hence preventing the particles to escape in this direction (the soft wall). We prove that a spectral…

Mathematical Physics · Physics 2025-05-20 Camilo Gómez Araya , David Gontier , Hanne Van Den Bosch