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We are concerned with the stability of steady multi-wave configurations for the full Euler equations of compressible fluid flow. In this paper, we focus on the stability of steady four-wave configurations that are the solutions of the…

Analysis of PDEs · Mathematics 2018-07-19 Gui-Qiang G. Chen , Matthew Rigby

To obtain the end-point evolution of the so-called black hole laser instability, we study the set of stationary solutions of the Gross-Pitaevskii equation for piecewise constant potentials which admit a homogeneous solution with a…

Quantum Gases · Physics 2013-12-10 Florent Michel , Renaud Parentani

In [1] we gave a precise holographic calculation of chaos at the scrambling time scale. We studied the influence of a small perturbation, long in the past, on a two-sided correlation function in the thermofield double state. A similar…

High Energy Physics - Theory · Physics 2015-03-23 Stephen H. Shenker , Douglas Stanford

We revisit the study of string theory close to the Hagedorn temperature with the aim towards cosmological applications. We consider interactions of open and closed strings in a gas of D$p-$branes, and/or one isolated D$p$-brane, in an…

High Energy Physics - Theory · Physics 2024-03-25 Andrew R. Frey , Ratul Mahanta , Anshuman Maharana , Francesco Muia , Fernando Quevedo , Gonzalo Villa

The linear hydrodynamic stability of a model for confined quasi-two-dimensional granular gases is analyzed. The system exhibits homogeneous hydrodynamics, i.e. there are macroscopic evolution equations for homogeneous states. The stability…

Statistical Mechanics · Physics 2016-10-12 J. Javier Brey , V. Buzón , M. I. García de Soria , P. Maynar

We study nonsingular cosmological scenarios in a general $D$-dimensional string effective action of the dilaton-modulus-axion system in the presence of the matter source. In the standard dilatonic Brans-Dicke parameter ($\omega=-1$) with…

High Energy Physics - Theory · Physics 2014-11-18 Shinji Tsujikawa

We investigate closed string tachyon condensation in Misner space, a toy model for big bang universe. In Misner space, we are able to condense tachyonic modes of closed strings in the twisted sectors, which is supposed to remove the big…

High Energy Physics - Theory · Physics 2011-10-04 Yasuaki Hikida , Ta-Sheng Tai

Due to delays in the adaptation of production or delivery rates, supply chains can be dynamically unstable with respect to perturbations in the consumption rate, which is known as "bull-whip effect". Here, we study several conceivable…

Statistical Mechanics · Physics 2009-11-10 Takashi Nagatani , Dirk Helbing

We consider a cylindrically symmetric solution for the field equations of Einstein-Hilbert action with a negative cosmological constant in four dimensions. The small statistical fluctuation in the equilibrium thermodynamics of the black…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Jyotish Kumar , Sudhaker Upadhyay , Himanshu Kumar Sudhanshu

Particle fluctuations in mesoscopic Bose systems of arbitrary spatial dimensionality are considered. Both ideal Bose gases and interacting Bose systems are studied in the regions above the Bose-Einstein condensation temperature $T_c$ as…

Quantum Gases · Physics 2019-05-14 V. I. Yukalov

This paper deals with the stabilization of an anti-stable string equation with Dirichlet actuation where the instability appears because of the uncontrolled boundary condition. Then, infinitely many unstable poles are generated and an…

Optimization and Control · Mathematics 2019-04-22 Matthieu Barreau , Frédéric Gouaisbaut , Alexandre Seuret

We consider Einstein-Maxwell-dilaton gravity with the non-minimal exponential coupling between the dilaton and the Maxwell field emerging from low energy heterotic string theory. The dilaton is endowed with a potential that originates from…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Dumitru Astefanesei , Jose Luis Blázquez-Salcedo , Carlos Herdeiro , Eugen Radu , Nicolas Sanchis-Gual

In string theory, an important challenge is to show if the big-bang singularity could be resolved by the higher derivative $\alpha'$ corrections. In this work, based on the Hohm-Zwiebach formula, we construct a series of non-singular…

High Energy Physics - Theory · Physics 2019-10-30 Peng Wang , Houwen Wu , Haitang Yang , Shuxuan Ying

In this paper, we investigate the well-posedness theory and exponential stability for the inhomogeneous incompressible Navier-Stokes equation with only horizontal dissipative structure. Due to the lack of the vertical dissipative term and…

Analysis of PDEs · Mathematics 2023-11-28 Jincheng Gao , Lianyun Peng , Zheng-an Yao

This paper investigates the stability and large-time behavior of solutions to the rotating Boussinesq system under the influence of a general gravitational potential $\Psi$, which is widely used to model the dynamics of stratified…

Analysis of PDEs · Mathematics 2025-04-16 Song Jiang , Quan Wang

We consider Sen's effective action for unstable D-branes, and study its classical dynamics exactly. In the true vacuum, the Hamiltonian dynamics remains well-defined despite a vanishing action, and is that of massive relativistic string…

High Energy Physics - Theory · Physics 2009-10-07 Gary Gibbons , Kentaro Hori , Piljin Yi

The z-pinch is a classical steady state for the MHD model, where a confined plasma fluid is separated by vacuum, in the presence of a magnetic field which is generated by a prescribed current along the $z$ direction. We develop a scaled…

Analysis of PDEs · Mathematics 2020-03-31 Dongfen Bian , Yan Guo , Ian Tice

It has been argued that wormholes are as good a prediction of Einstein's theory as black holes but the theoretical construction requires a reverse strategy, specifying the desired geometric properties of the wormhole and leaving open the…

General Relativity and Quantum Cosmology · Physics 2017-02-15 Peter K. F. Kuhfittig

General relativity admits a plethora of exact compact object solutions. The augmentation of Einstein's action with non-minimal coupling terms leads to modified theories with rich structure, which, in turn, provide non-trivial solutions with…

General Relativity and Quantum Cosmology · Physics 2022-05-31 Nikos Chatzifotis , Christoforos Vlachos , Kyriakos Destounis , Eleftherios Papantonopoulos

We present superconducting vortex solutions in the two-Higgs doublet model which has a gauged $U(1)$ Higgs-family symmetry. We write down an ansatz for the solution and study its basic properties, for the case of both global and gauged…

High Energy Physics - Phenomenology · Physics 2025-07-17 Richard Battye , Steven Cotterill
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