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In the theory of the Navier-Stokes equations, the viscous fluid in incompressible flow is modelled as a homogeneous and dense assemblage of constituent "fluid particles" with viscous stress proportional to rate of strain. The crucial…

Fluid Dynamics · Physics 2022-08-23 Wennan Zou

We use a combination of a 't Hooft limit and numerical methods to find non-perturbative solutions of exactly solvable string theories, showing that perturbative solutions in different asymptotic regimes are connected by smooth interpolating…

High Energy Physics - Theory · Physics 2011-08-31 Ramakrishnan Iyer , Clifford V. Johnson , Jeffrey S. Pennington

The existence and dynamical role of particular unstable Navier-Stokes solutions (exact coherent structures) is revealed in laboratory studies of weak turbulence in a thin, electromagnetically-driven fluid layer. We find that the dynamics…

Chaotic Dynamics · Physics 2018-08-01 Balachandra Suri , Jeffrey Tithof , Roman O. Grigoriev , Michael F. Schatz

We examine the dynamics of a self-gravitating string in the scalar-tensor theories of gravitation by considering a thin tube of matter to describe it. For a class of solutions, we obtain in the generic case that the extrinsic curvature of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 B. Boisseau , B. Linet

It is well-known that stable and unstable manifolds strongly influence fluid motion in unsteady flows. These emanate from hyperbolic trajectories, with the structures moving nonautonomously in time. The local directions of emanation at each…

Dynamical Systems · Mathematics 2016-04-20 Sanjeeva Balasuriya

We discuss the effective string theory of vortex lines in ordinary fluids and low-temperature superfluids, by describing the bulk fluid flow in terms of a two-form field to which vortex lines can couple. We derive the most general…

High Energy Physics - Theory · Physics 2015-07-22 Bart Horn , Alberto Nicolis , Riccardo Penco

We resolve a puzzle in the theory of strings propagating on locally flat spacetimes with nontrivial Wilson lines for stringy Z_N gauge symmetries. We find that strings probing such backgrounds are described by consistent worldsheet CFTs.…

High Energy Physics - Theory · Physics 2007-05-23 Simeon Hellerman , Johannes Walcher

The dynamics of a vortex string, which describes the Nambu-Goldtone modes of the spontaneous breakdown of the target space D=4, N=1 supersymmetry and internal $U(1)_R$ symmetry to the world sheet ISO(1,1) symmetry, is constructed by using…

High Energy Physics - Theory · Physics 2009-03-12 Lu-Xin Liu

We consider the motion of an incompressible viscous fluid on a compact Riemannian manifold $\sM$ with boundary. The motion on $\sM$ is modeled by the incompressible Navier-Stokes equations, and the fluid is subject to pure or partial slip…

Analysis of PDEs · Mathematics 2024-10-25 Yuanzhen Shao , Gieri Simonett , Mathias Wilke

Systems of interacting networks of strings such as cosmic strings or quantum vortices can be approximated in a certain regime as an anisotropic fluid with an equation of state depending on a conserved flux. The equations for ideal…

High Energy Physics - Theory · Physics 2015-03-05 Daniel Schubring

We develop a field theory description of non-dissipative string fluids and construct an explicit mapping between field theory degrees of freedom and hydrodynamic variables. The theory generalizes both a perfect particle fluid and…

High Energy Physics - Theory · Physics 2015-09-09 Daniel Schubring , Vitaly Vanchurin

Chiral cosmic strings are produced naturally at the end of inflation in supersymmetric models where the symmetry is broken via a D-term. Consequently in such theories, where both inflation and cosmic strings contribute to the density and…

Astrophysics · Physics 2009-10-31 A. C. Davis , T. W. B. Kibble , M. Pickles , D. A. Steer

Many cells exploit the bending or rotation of flagellar filaments in order to self-propel in viscous fluids. While appropriate theoretical modelling is available to capture flagella locomotion in simple, Newtonian fluids, formidable…

Biological Physics · Physics 2017-08-02 Emily E. Riley , Eric Lauga

When a polymer solution is uniaxially stretched and held fixed at both ends, the solution quickly separates into droplets connected by strings and takes the beads-on-string structure. The string then becomes thinner by capillary forces.…

Soft Condensed Matter · Physics 2018-09-05 Jiajia Zhou , Masao Doi

We study classical dynamics of an open string tachyon $T$ of unstable D$p$-brane coupled to the gauge field $A_\mu$. In the vacuum with vanishing potential, V=0, two fluid-like degrees of freedom, string fluid and tachyon matter, survive…

High Energy Physics - Theory · Physics 2009-11-10 O-Kab Kwon , Piljin Yi

Attention has been paid to the similarity and duality between the Gregory-Laflamme instability of black strings and the Rayleigh-Plateau instability of extended fluids. In this paper, we derive a set of simple (1+1)-dimensional equations…

High Energy Physics - Theory · Physics 2011-05-18 Umpei Miyamoto

In this paper, which is a revised version of the author's PhD thesis, we analyze two different applications of string theory. In the first part, we focus on four dimensional compactifications of Type II string theories preserving N=1…

High Energy Physics - Theory · Physics 2009-11-20 Livia Ferro

The linear response of an isolated, homogeneous granular fluid to small spatial perturbations is studied by methods of non-equilibrium statistical mechanics. The long wavelength linear hydrodynamic equations are obtained, with formally…

Soft Condensed Matter · Physics 2009-11-11 James Dufty , Aparna Baskaran , J. Javier Brey

We explore the string spectrum in the Witten QCD model by considering classical string configurations, thereby obtaining energy formulas for quantum states with large excitation quantum numbers representing glueballs and Kaluza-Klein…

High Energy Physics - Theory · Physics 2009-11-10 J. M. Pons , J. G. Russo , P. Talavera

General solutions of a gravitational junction between two copies of a three-dimensional Einstein manifold $\mathcal{M}$ correspond to the solutions of the non-linear Nambu-Goto equation for a string in $\mathcal{M}$. We show that, for the…

High Energy Physics - Theory · Physics 2026-05-26 Avik Banerjee , Tanay Kibe , Ayan Mukhopadhyay , Giuseppe Policastro