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Convex Analysis
, 1970
"... In this book we aim to present, in a unified framework, a broad spectrum of mathematical theory that has grown in connection with the study of problems of optimization, equilibrium, control, and stability of linear and nonlinear systems. The title Variational Analysis reflects this breadth. For a lo ..."
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Cited by 5350 (67 self)
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In this book we aim to present, in a unified framework, a broad spectrum of mathematical theory that has grown in connection with the study of problems of optimization, equilibrium, control, and stability of linear and nonlinear systems. The title Variational Analysis reflects this breadth. For a
Localized excitations of charged dust grains in dusty plasma lattices
"... Abstract. The nonlinear aspects of charged dust grain motion in a onedimensional dusty plasma (DP) monolayer are discussed. Both horizontal (longitudinal, acoustic mode) and vertical (transverse, optic mode) displacements are considered, and various types of localized excitations are reviewed, in ..."
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, in a continuum approximation. Dust crystals are shown to support nonlinear kinkshaped supersonic longitudinal solitary excitations, as well as modulated envelope (either longitudinal or transverse) localized modes. The possibility for Discrete Breather (DB) type excitations (Intrinsic Localized
Acceleration, energy loss and screening in stronglycoupled gauge theories
 JHEP
"... We explore various aspects of the motion of heavy quarks in stronglycoupled gauge theories, employing the AdS/CFT correspondence. Building on earlier work by Mikhailov, we study the dispersion relation and energy loss of an accelerating finitemass quark in N = 4 superYangMills, both in vacuum an ..."
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Cited by 4 (0 self)
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We explore various aspects of the motion of heavy quarks in stronglycoupled gauge theories, employing the AdS/CFT correspondence. Building on earlier work by Mikhailov, we study the dispersion relation and energy loss of an accelerating finitemass quark in N = 4 superYangMills, both in vacuum
The string dual of a confining fourdimensional gauge theory
, 2000
"... We study N = 1 gauge theories obtained by adding finite mass terms to N = 4 YangMills theory. The Maldacena dual is nonsingular: in each of the many vacua, there is an extended brane source, arising from Myers’ dielectric effect. The source consists of one or more (p,q) 5branes. In particular, the ..."
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Cited by 359 (8 self)
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We study N = 1 gauge theories obtained by adding finite mass terms to N = 4 YangMills theory. The Maldacena dual is nonsingular: in each of the many vacua, there is an extended brane source, arising from Myers’ dielectric effect. The source consists of one or more (p,q) 5branes. In particular, the confining vacuum contains an NS5brane; the confining flux tube is a fundamental string bound to the 5brane. The system admits a simple quantitative description as a perturbation of a state on the N = 4 Coulomb branch. Various nonperturbative phenomena, including flux tubes, baryon vertices, domain walls, condensates and instantons, have new, quantitatively precise, dual descriptions. We also briefly consider two QCDlike theories. Our method extends to the nonsupersymmetric case. As expected, the N = 4 matter cannot be decoupled within the supergravity regime.
Dynamics of lattice kinks
 Physica D
, 2000
"... We consider a class of Hamiltonian nonlinear wave equations governing a field defined on a spatially discrete one dimensional lattice, with discreteness parameter, d = h −1, where h> 0 is the lattice spacing. The specific cases we consider in detail are the discrete sineGordon (SG) and discrete ..."
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Cited by 11 (3 self)
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We consider a class of Hamiltonian nonlinear wave equations governing a field defined on a spatially discrete one dimensional lattice, with discreteness parameter, d = h −1, where h> 0 is the lattice spacing. The specific cases we consider in detail are the discrete sineGordon (SG) and discrete
DISCRETE BREATHERS AND ENERGY LOCALIZATION IN NONLINEAR LATTICES
, 1993
"... We discuss the process by which energy, initially evenly distributed in a nonlinear lattice, can localize itself into large amplitude excitations. We show that, the standard modulational instability mechanism, which can initiate the process by the formation of small amplitude breathers, is completed ..."
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We discuss the process by which energy, initially evenly distributed in a nonlinear lattice, can localize itself into large amplitude excitations. We show that, the standard modulational instability mechanism, which can initiate the process by the formation of small amplitude breathers
Physics of Strongly coupled QuarkGluon Plasma
 2009) [arXiv:0807.3033 [hepph]]. 26
"... This review cover our current understanding of strongly coupled QuarkGluon Plasma (sQGP), especially theoretical progress in (i) explaining the RHIC data by hydrodynamics, (ii) describing lattice data using electricmagnetic duality; (iii) understanding of gaugestring duality known as AdS/CFT and ..."
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Cited by 31 (0 self)
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This review cover our current understanding of strongly coupled QuarkGluon Plasma (sQGP), especially theoretical progress in (i) explaining the RHIC data by hydrodynamics, (ii) describing lattice data using electricmagnetic duality; (iii) understanding of gaugestring duality known as Ad
Collective Processes in Dusty Plasma Crystals
, 2005
"... Synopsis Plasmas, i.e. large ensembles of charged particles, consist a highly complex form of matter. From a fundamental point of view, a plasma is often modelled as a manybody system which is characterized by weak interparticle (electrostatic) interactions (coupling). However, stronglycoupled ch ..."
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shaped supersonic solitary longitudinal excitations, as well as modulated envelope localized modes associated with longitudinal and transverse vibrations. Furthermore, the possibility for intrinsic localized modes (ILMs) – Discrete Breathers (DBs) – to occur is investigated, from first principles. The effect
Results 1  10
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4,871