Results 31 to 40 of about 2,012,091 (336)

The evolution operator of the Hartree-type equation with a quadratic potential [PDF]

, 2003
Based on the ideology of the Maslov's complex germ theory, a method has been developed for finding an exact solution of the Cauchy problem for a Hartree-type equation with a quadratic potential in the class of semiclassically concentrated functions.
A L Lisok, A V Shapovalov, A Yu Trifonov, Anandan J, Anderson R L, Bateman H, Belov V V, Belov V V, Belov V V, Belov V V, Belov V V, Berry M V, Dodonov V V, Ehrenfest P, Fushchich W I, Gaeta G, Hartree D R, Hartree D R, Hartree D R, Khagn Fuk Vo, Khagn Fuk Vo, Landau L D, Malkin M A, Maslov V P, Maslov V P, Maslov V P, Meirmanov A M, Olver P J, Ovsjannikov L V, Perelomov A M, Pitaevskii L P, Pitaevskii L P, Pukhnachov V V, Pukhnachov V V   +33 more
core   +1 more source

Vanishing viscosity limit of navier-stokes equations in gevrey class

, 2017
In this paper we consider the inviscid limit for the periodic solutions to Navier-Stokes equation in the framework of Gevrey class. It is shown that the lifespan for the solutions to Navier-Stokes equation is independent of viscosity, and that the ...
Alexandre, Bardos, Biswas, Bourguignon, Chae, Constantin, Foias, Gerard-Varet, Gerard-Varet, Grujić, Guo, Hardy, Kato, Kukavica, Kukavica, Kukavica, Kukavica, Levermore, Li, Lions, Liu, Maekawa, Majda, Oleinik, R Temam, R Temam, Sammartino, Swann, Temam, Weinan, Xin   +30 more
core   +4 more sources

Equational classes of lattices

Duke Mathematical Journal, 1966
In this section we shall discuss the basic properties of equational classes of lattices. Of the four characterizations and descriptions given, three apply to arbitrary equational classes of universal algebras; the fourth is valid only for those equational classes of universal algebras that are congruence distributive (that is, the congruence lattice of
openaire   +3 more sources

An existence result for a semipositone problem with a sign changing weight

Abstract and Applied Analysis, 2006
We establish an existence result on positive solution for a class of reaction-diffusion equation with semipositone structure. In particular, our results apply to the diffusive logistic equation with a class of sign changing weight and constant yield ...
Jaffar Ali, R. Shivaji
doaj   +2 more sources

On differential equations invariant under a projective transformation group: integrability and reductions [PDF]

Open Communications in Nonlinear Mathematical Physics
We consider a projective transformation and establish the invariants for this transformation group up to order seven. We use the obtained invariants to construct a class of nonlinear evolution equations and identify some symmetry-integrable equations in ...
Marianna Euler, Norbert Euler, Francesco Oliveri   +2 more
doaj   +1 more source

On C-class equations

Communications in Analysis and Geometry, 2017
The concept of a C-class of differential equations goes back to E. Cartan with the upshot that generic equations in a C-class can be solved without integration. While Cartan's definition was in terms of differential invariants being first integrals, all results exhibiting C-classes that we are aware of are based on the fact that a canonical Cartan ...
Čap, Andreas, Doubrov, Boris, The, Dennis   +2 more
openaire   +3 more sources

An Integrable Shallow Water Equation with Linear and Nonlinear Dispersion

, 2001
We study a class of 1+1 quadratically nonlinear water wave equations that combines the linear dispersion of the Korteweg-deVries (KdV) equation with the nonlinear/nonlocal dispersion of the Camassa-Holm (CH) equation, yet still preserves integrability ...
A. S. Fokas, A. S. Fokas, A. S. Fokas, A. S. Fokas, B. Fuchssteiner, D. D. Holm, D. D. Holm, Darryl D. Holm, G. B. Whitham, G. Misiolek, Georg A. Gottwald, Holger R. Dullin, I. M. Gelfand, J. E. Marsden, Li Zhi, M. Alber, M. Alber, M. J. Ablowitz, P. D. Weidman, P. J. Olver, R. Beals, R. Camassa, Y. Kodama, Y. Kodama, Y. Kodama, Y. Kodama   +25 more
core   +1 more source

Some Quantum Dynamical Semi-groups with Quantum Stochastic Dilation [PDF]

, 2015
We consider the GNS Hilbert space $\mathcal{H}$ of a uniformly hyper-finite $C^*$- algebra and study a class of unbounded Lindbladian arises from commutators.
Sahu, Lingaraj, Singh, Preetinder
core   +3 more sources

On the computation of the class numbers of some cubic fields

International Journal of Mathematics and Mathematical Sciences, 1986
Class numbers are calculated for cubic fields of the form x3+12Ax−12=0, A>0, for 1≤a≤17, and for some other values of A. These fields have a known unit, which under certain conditions is the fundamental unit, and are important in studying the Diophantine
Manny Scarowsky, Abraham Boyarsky
doaj   +1 more source

Decidable Equational Classes [PDF]

, 1997
I will discuss the progress that has been made on solving two open problems dealing with the decidability of the first order theory of equationally defined classes of algebras (varieties).
openaire   +1 more source