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We present a streamlined account of recent developments in the stability theory for planar viscous shock waves, with an emphasis on applications to physical models with ``real,'' or partial viscosity. The main result is the establishment of…

Analysis of PDEs · Mathematics 2007-05-23 Kevin Zumbrun

We consider higher-order derivative gauge field corrections that arise in the fundamental context of dimensional reduction of String Theory and Lovelock-inspired gravities and obtain an exact and asymptotically flat black-hole solution, in…

We provide the first black hole solutions with Lifshitz asymptotics found in string theory. These are expected to be dual to models enjoying anisotropic scale invariance with dynamical exponent z=2 at finite temperature. We employ a…

High Energy Physics - Theory · Physics 2015-05-28 Irene Amado , Anton F. Faedo

The cosmology of the string effective action, including one loop string threshold corrections, is analyzed for static compactifications. The stability of the minima of a general supersymmetry breaking potential is studied in the presence of…

High Energy Physics - Theory · Physics 2009-10-22 Juan Garcia-Bellido , Mariano Quiros

Classical stability behaviors of various static black brane backgrounds under small perturbations have been summarized briefly. They include cases of black strings in AdS$_5$ space, charged black $p$-brane solutions in the type II…

High Energy Physics - Theory · Physics 2014-11-18 Gungwon Kang

The notion of a space-time uncertainty principle in string theory is clarified and further developed. The motivation and the derivation of the principle are first reviewed in a reasonably self-contained way. It is then shown that the…

High Energy Physics - Theory · Physics 2014-11-18 Tamiaki Yoneya

Groups of aircraft have the potential to save significant amounts of energy by flying in formations; all but the leading aircraft can benefit from the upwash of the wakes of preceding aircraft. A potential obstacle as the number of aircraft…

Optimization and Control · Mathematics 2021-03-30 James R. Riehl , Esteban A. L. Hufstedler , Philippe Chatelain , Julien M. Hendrickx

In this paper, we present exact spherically symmetric Gauss-Bonnet black hole solutions surrounded by a cloud of strings fluid with cosmological constant in $D>4$ dimensions. Both charged and uncharged cases are considered. We focus on the…

General Relativity and Quantum Cosmology · Physics 2023-12-27 Wenxi Zhai , Xiangdong Zhang

We investigate $(n+1)$-dimensional string-dilaton cosmology with effective dilaton potential in presence of perfect-fluid matter.We get exact solutions parametrized by the constant $\gam$ of the state equation $p=(\gam-1)\rho$, the spatial…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Capozziello , G. Lambiase , R. Capaldo

In this paper, we obtain a static black string solution for a bilocal gravitational source in 3+1 dimensions. The solution is regular at the origin and tends asymptotically to the ordinary static uncharged black string solution of general…

General Relativity and Quantum Cosmology · Physics 2022-08-08 C. R. Muniz , H. R. Christiansen , M. S. Cunha , J. Furtado

We investigate the stability of superconducting strings as bound states of strings and fermion zero modes at both the classical and quantum levels. The dynamics of these superconducting strings can result in a stable configuration, known as…

High Energy Physics - Phenomenology · Physics 2024-12-18 Keisuke Harigaya , Xuce Niu , Wei Xue , Fengwei Yang

The stability properties and perturbation-induced dynamics of the full set of stationary states of the nonlinear Schroedinger equation are investigated numerically in two physical contexts: periodic solutions on a ring and confinement by a…

Condensed Matter · Physics 2009-10-31 Lincoln D. Carr , J. Nathan Kutz , William P. Reinhardt

Recently, Hellerman and Schnabl considered the dynamics of unstable D-branes in the background of a linear dilaton. Remarkably, they were able to construct light-like tachyon solutions which interpolate smoothly between the perturbative and…

High Energy Physics - Theory · Physics 2009-03-27 Neil Barnaby , David J. Mulryne , Nelson J. Nunes , Patrick Robinson

The singularity of the black hole solutions obtained before in M{\o}ller's theory are studied. It is found that although the two solutions reproduce the same associated metric the asymptotic behavior of the scalars of torsion tensor and…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Gamal G. L. Nashed

We present a review of black holes and black string solutions available in the $d$-dimensional Einstein and Einstein-Maxwell model in the presence of a cosmological constant. Due to the cosmological constant, the equations do not admit…

General Relativity and Quantum Cosmology · Physics 2009-06-11 Yves Brihaye

Supersolidity -- a quantum-mechanical phenomenon characterized by the presence of both superfluidity and crystalline order -- was initially envisioned in the context of bulk solid helium, as a possible answer to the question of whether a…

In string theory, black holes are expected to transition into string stars as their Hawking temperatures approach the Hagedorn temperature. We study string stars and their phase transitions in the Euclidean spacetime…

High Energy Physics - Theory · Physics 2025-04-30 Jinwei Chu

Motivated by gauge/gravity group in the low energy effective theory of the heterotic string theory and novel aspects of massive gravity in the context of lattice physics, the minimal coupling of Gauss-Bonnet-massive gravity with Born-Infeld…

High Energy Physics - Theory · Physics 2017-01-19 S. H. Hendi , B. Eslam Panah , S. Panahiyan

A linear stability analysis of twisted flux-tubes (strings) in an SU(2) semilocal theory -- an Abelian-Higgs model with two charged scalar fields with a global SU(2) symmetry -- is carried out. Here the twist refers to a relative phase…

High Energy Physics - Theory · Physics 2010-01-06 Peter Forgacs , Arpad Lukacs

We introduce a notion of state-constraint viscosity solutions for one dimensional \junction"-type problems for Hamilton-Jacobi equations with non convex coercive Hamiltonians and study its well- posedness and stability properties. We show…

Analysis of PDEs · Mathematics 2016-08-15 P. -L. Lions , P. E. Souganidis