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Resummed memory kernels in generalized system-bath master equations
Langevin equation Perturbation theory Molecular dynamicsPopulation dynamics Matrix equations
2014/8/21
Generalized master equations provide a concise formalism for studying reduced population dynamics. Usually, these master equations require a perturbative expansion of the memory kernels governing the ...
GENERALIZED SURFACE QUASI-GEOSTROPHIC EQUATIONS WITH SINGULAR VELOCITIES
GENERALIZED SURFACE QUASI-GEOSTROPHIC EQUATIONS SINGULAR VELOCITIES
2014/4/3
This paper establishes several existence and uniqueness results for two families of active scalar equations with velocity elds determined by the scalars through very singular integrals. The rst fami...
On computing the generalized Lambert series
computing generalized Lambert series Theta convergence ODEs
2012/3/1
We show how the generalized Lambert series sum(n>=1, x*q^n/(1-x*q^n)) can be computed with Theta convergence. This allows the computation of the sum of the inverse Fibonacci numbers without splitting ...
Generalized cosmological term from Maxwell symmetries
Generalized cosmological term Maxwell symmetries
2011/3/3
By gauging the Maxwell spacetime algebra we extend the standard geometric framework of Ein-
stein gravity by the addition of six fourvector fields Aab μ (x) associated with the six abelian tensorial ...
Global generalized solutions for Maxwell-alpha and Euler-alpha equations
Global generalized solutions Maxwell-alpha Euler-alpha equations
2011/2/24
We study initial-boundary value problems for the Lagrangian averaged alpha models for the equations of motion for the corotational Maxwell and inviscid fluids in 2D and 3D. We show existence of (globa...
Separation of variables for the generalized Henon-Heiles system and system with quartic potential
Separation of variables generalized Henon-Heiles system system quartic potential
2010/12/28
We consider two well-known integrable systems on the plane using the concept of natural Poisson
bivectors on Riemaninan manifolds. Geometric approach to construction of variables of separation and se...
On Generalized Monopole Spherical Harmonics and the Wave Equation of a Charged Massive Kerr Black Hole
Generalized Monopole Spherical Harmonics Wave Equation of a Charged Massive Kerr Black Hole
2010/11/30
We find linearly independent solutions of the Goncharov-Firsova equation in the case of a massive complex scalar field on a Kerr black hole. The solutions generalize, in some sense, the classical mono...
Preliminary group classification for generalized inviscid Burger's equation
Burgers’ equation Equivalence transformations Lie symmetries
2010/12/9
Preliminary group classification for a class of generalized inviscid Burger’s equa-tions in the general form ut+g(x, u)ux = f(x, u) is given and additional equivalence transformations are found. Adduc...
Stability of solitary waves of a generalized two-component Camassa-Holm system
Stability of solitary waves generalized two-component Camassa-Holm system
2010/12/6
We study here the existence of solitary wave solutions of a generalized twocomponent Camassa-Holm system. In addition to those smooth solitary-wave solutions,we show that there are solitary waves with...
Generalized Landau-Lifshitz Equation into $S^n$
Generalized Landau-Lifshitz Equation $S^n$
2010/12/6
In this paper, a type of integrable evolution equation–the generalized Landau-Lifshitz equation into Sn is considered. We deal with this equation from a geometric point of view by rewriting it in a ge...
THE GENERALIZED SOLUTIONS OF PBVP FORINTEGRO-DIFFERENTIAL EQUATIONS
Integro-differential equations periodic
2007/8/7
In this paper, we study the periodic boundary value problems for a class ofnonlinear integro-differential equations of Volterra type with Caratheodory condition. Weobtain an existence result of genera...
On Generalized Solution of a Class of Higher Order Operator-Differential Equations
Operator-differential equations Hilbert spaces existence of generalized solution
2010/2/25
In this paper the sufficient conditions on the existence and uniqueness of a generalized solution on the axis are obtained for higher order operator-differential equations, the main part of which is m...