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A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations
Shallow water equations Nozzle flow equations Discontinuous topography well-balanced scheme surface gradient method Shock capturing
2012/8/8
A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations 。
Hyperbolic metamaterial interfaces: Hawking radiation from Rindler horizons and the "end of time"
Hyperbolic metamaterial interfaces Hawking radiation Rindler horizons
2011/8/5
Abstract: Extraordinary rays in a hyperbolic metamaterial behave as particle world lines in a three dimensional (2+1) Minkowski spacetime. We analyze electromagnetic field behavior at the boundaries o...
Global Uniqueness for an Inverse Stochastic Hyperbolic Equation with Three Unknowns
Global uniqueness inverse stochastic hyperbolic equation Carleman estimate three unknowns
2011/9/13
Abstract: This paper is addressed to an inverse stochastic hyperbolic equation with three unknowns, i.e., a source term, an initial displacement and an initial velocity. The global uniqueness is prove...
Action-angle duality between the C(n)-type hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen models
Action-angle duality the C(n)-type hyperbolic Sutherland the rational Ruijsenaars-Schneider-van Diejen models
2011/7/26
Abstract: In a symplectic reduction framework we construct action-angle systems of canonical coordinates for both the hyperbolic Sutherland and the rational Ruijsenaars-Schneider-van Diejen integrable...
Transitions in active rotator systems: invariant hyperbolic manifold approach
active rotator systems Normally hyperbolic manifolds Pulsating waves Neuronal models
2011/7/25
Abstract: Our main focus is on a general class of active rotators with mean field interactions, that is globally coupled large families of dynamical systems on the unit circle with non-trivial stochas...
Hausdorff dimension of visibility sets for well-behaved continuum percolation in the hyperbolic plane
Boolean model continuum percolation fractal geometry Hausdorff-dimension hyperbolic geometry
2011/7/27
Abstract: Let Z be a so-called well-behaved percolation, i.e. a certain random closed set in the hyperbolic plane, whose law is invariant under all isometries; for example the covered region in a Pois...
Kutasov-like duality from D5-branes wrapping hyperbolic cycles
Kutasov-like duality D5-branes wrapping hyperbolic cycles
2010/12/23
We study the addition of N_f flavor D5-branes to supergravity solutions describing D5-branes wrapping two-cycles of genus g>1 inside a six-dimensional space equipped with an SU(3)-structure. The non-z...
Second-order hyperbolic Fuchsian systems and applications
Second-order hyperbolic Fuchsian system applications
2010/12/20
We introduce a new class of singular partial dierential equations, referred to as the second-order hyperbolic Fuchsian systems, and we investigate the associated initial value problem when data are i...
On the consistency of the quantum-like representation algorithm for hyperbolic interference
consistency quantum-like representation algorithm hyperbolic interference
2010/10/19
Recently quantum-like representation algorithm (QLRA) was intro-duced by A. Khrennikov [20]–[28] to solve the so-called “inverse Born’s rule problem”: to construct a representation of probabilistic da...
Classical Particle in Presence of Magnetic Field, Hyperbolic Lobachevsky and Spherical Riemann Models
Magnetic Field Spherical Riemann Models Hyperbolic Lobachevsky
2010/4/1
Motion of a classical particle in 3-dimensional Lobachevsky and Riemann spaces is studied in the presence of an external magnetic field which is analogous to a constant uniform magnetic field in Eucli...
Distinguished hyperbolic trajectories in time-dependent fluid flows:analytical and computational approach for velocity fields defined as data sets
Distinguished hyperbolic trajectories time-dependent fluid flows velocity fields
2009/11/12
In this paper we develop analytical and numerical methods for finding special hyperbolic trajectories that govern geometry of Lagrangian structures in time-dependent vector fields. The vector fields (...
Applications of Extended Hyperbolic Function Method for Quintic
Discrete Nonlinear Schrödinger Equation
extended hyperbolic function method quintic discrete
nonlinear Schrö dinger equation discrete solitons alternating phase
2007/8/15
2007Vol.47No.3pp.474-478DOI:
Applications of Extended Hyperbolic Function Method for Quintic
Discrete Nonlinear Schrödinger Equation
ZHAO Hong, HAN Ji-Guang, WANG Wei-Tao, an...
On Differential Equations Describing 3-Dimensional Hyperbolic Spaces
(2+1)-dimensional integrable systems differential
equations describing 3-dimensional hyperbolic spaces conservation laws
2007/8/15
2006Vol.45No.1pp.135-142DOI:
On Differential Equations Describing 3-Dimensional Hyperbolic Spaces
WU Jun-Yi,1 DING Qing,1,2 and Keti Tenenblat3
1 Institute of Mathematic...
Soliton Solutions of Discrete Complex Ginzburg-Landau Equation via Extended Hyperbolic Function Approach
discrete complex Ginzburg-Landau equation soliton solutions
2007/8/15
2005Vol.44No.1pp.79-84DOI:
Soliton Solutions of Discrete Complex Ginzburg-Landau Equation via Extended Hyperbolic Function Approach
LI Hua-Mei, LIN Ji, and XU You-Sheng
...
Methods of K¡theory and spectral theory of Dirac operators are applied to describe the Chern isomorphisms and quantum fields on branes on hyperbolic manifolds.