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991.
In this paper we have discussed geodesics and the motion of test particle in the gravitational field of noncommutative charged black hole spacetime. The motion of massive and massless particle have been discussed seperately. A comparative study of noncommutative charged black hole and usual Reissner—Nordström black hole has been done. The study of effective potential has also been included. Finally, we have examined the scattering of scalar waves in noncommutative charged black hole spacetime. 相似文献
992.
Hantaek?Bae Animikh?Biswas Eitan?TadmorEmail author 《Archive for Rational Mechanics and Analysis》2012,205(3):963-991
In this paper, we establish analyticity of the Navier–Stokes equations with small data in critical Besov spaces . The main method is Gevrey estimates, the choice of which is motivated by the work of Foias and Temam (Contemp Math 208:151–180, 1997). We show that mild solutions are Gevrey regular, that is, the energy bound holds in , globally in time for p < ∞. We extend these results for the intricate limiting case p = ∞ in a suitably designed E ∞ space. As a consequence of analyticity, we obtain decay estimates of weak solutions in Besov spaces. Finally, we provide a regularity criterion in Besov spaces. 相似文献
993.
JPC – Journal of Planar Chromatography – Modern TLC - Withania somnifera, commonly known as Ashwagandha, is a valued herb in Ayurvedic medicine. Root leaves, and preparations of the... 相似文献
994.
Russell Kohl Daniela Milovic Essaid Zerrad Anjan Biswas 《Mathematical and Computer Modelling》2009,49(7-8):1700-1709
This paper studies the perturbation of dispersion-managed optical solitons in polarization-preserving optical fibers due to the perturbation terms. The types of pulses that are considered in this paper are super-Gaussian. The adiabatic parameter dynamics of such solitons are obtained in the presence of these local as well as non-local perturbation terms. 相似文献
995.
Anjan Biswas 《Communications in Nonlinear Science & Numerical Simulation》2009,14(5):1830-1833
This paper obtains the 1-soliton solution of the nonlinear Schrödinger’s equation in 1 + 2 dimensions for parabolic law nonlinearity. An exact soliton solution is obtained in closed form by the solitary wave ansatze. 相似文献
996.
Anjan Biswas Daniela Milovic 《Communications in Nonlinear Science & Numerical Simulation》2009,14(5):1834-1837
In this paper, a closed form optical soliton solution is obtained for the nonlinear Schrödinger’s equation with fourth order dispersion in a power law media. The solitary wave ansatze is used to carry out the integration of this equation. Finally, a numerical simulation is given for the closed form soliton solution. 相似文献
997.
Anjan Biswas Daniela Milovic Arjuna Ranasinghe 《Communications in Nonlinear Science & Numerical Simulation》2009,14(11):3738-3742
In this paper, the solitary wave solution of the Boussinesq equation, with power law nonlinearity, is obtained by virtue of solitary wave ansatze method. The numerical simulations are obtained to support the theory. 相似文献
998.
It is known that a vector bundle E on a smooth projective curve Y defined over an algebraically closed field is semistable if and only if there is a vector bundle F on Y such that both H0(X,EF) and H1(X,EF) vanishes. We extend this criterion for semistability to vector bundles on curves defined over perfect fields. Let X be a geometrically irreducible smooth projective curve defined over a perfect field k, and let E be a vector bundle on X. We prove that E is semistable if and only if there is a vector bundle F on X such that Hi(X,EF)=0 for all i. We also give an explicit bound for the rank of F. 相似文献
999.
We investigate differential geometric aspects of moduli spaces parametrizing solutions of coupled vortex equations over a compact Kähler manifold X. These solutions are known to be related to polystable triples via a Kobayashi–Hitchin type correspondence. Using a characterization of infinitesimal deformations in terms of the cohomology of a certain elliptic double complex, we construct a Hermitian structure on these moduli spaces. This Hermitian structure is proved to be Kähler. The proof involves establishing a fiber integral formula for the Hermitian form. We compute the curvature tensor of this Kähler form. When X is a Riemann surface, the holomorphic bisectional curvature turns out to be semi-positive. It is shown that in the case where X is a smooth complex projective variety, the Kähler form is the Chern form of a Quillen metric on a certain determinant line bundle. 相似文献
1000.
Nonlinear Dynamics - In this article, a system of delay differential equations to represent the predator–prey dynamics with weak Allee effect in the growth of predator population is... 相似文献