Results 41 to 50 of about 408 (69)

Dislocation dynamics: from microscopic models to macroscopic crystal plasticity [PDF]

, 2009
In this paper we study the connection between four models describing dislocation dynamics: a generalized 2D Frenkel-Kontorova model at the atomic level, the Peierls-Nabarro model, the discrete dislocation dynamics and a macroscopic model with dislocation densities. We show how each model can be deduced from the previous one at a smaller scale.
arxiv   +1 more source

$L^p$-solvability of nonlocal parabolic equations with spatial dependent and non-smooth kernelsXiche [PDF]

arXiv, 2012
In this paper we prove the optimal $L^p$-solvability of nonlocal parabolic equation with spatial dependent and non-smooth kernels.
arxiv  

Existence and Successive Approximations of Mild Solution for Integro-differential Equations in Banach Spaces

Annals of the West University of Timisoara: Mathematics and Computer Science
This paper discusses the global convergence of successive approximations methods for solving integro-differential equation via resolvent operators in Banach spaces.
Bensatal Kattar Enada, Salim Abdelkrim, Benchohra Mouffak   +2 more
doaj   +1 more source

Landau dispersion relationship in self-consistent field theory [PDF]

arXiv, 2019
The spectral problem is studied associated with Maxwell-Boltzmann equations describing collisionless plasma. Formula for instability index is obtained and effective conditions of two-stream instability are given.
arxiv  

Standing waves for Choquard equation with noncritical rotation

Advances in Nonlinear Analysis
We investigate the existence and stability of standing waves with prescribed mass c>0c\gt 0 for Choquard equation with noncritical rotation in Bose-Einstein condensation. Then, we consider the mass collapse behavior of standing waves, the ratio of energy
Mao Yicen, Yang Jie, Su Yu
doaj   +1 more source

Cordes-Nirenberg type estimates for nonlocal parabolic equations [PDF]

arXiv, 2012
In this paper, we obtain Cordes-Nirenberg type estimates for nonlocal parabolic equations on the more flexible solution space $L^{\iy}_T(L^1_{\om})$ than the classical solution space $\rB(\BR^n_T)$ consisting of all bounded functions on $\BR^n_T$.
arxiv  

On Inverse Spectral Problems for Second Order Integro-differential Operators [PDF]

arXiv, 2017
Inverse spectral problems are studied for the second order integro-differential operators on a finite interval. Properties of spectral characteristic are established, and the uniqueness theorem is proved for this class of inverse problems.
arxiv  

Stability of Heat Kernel Estimates for Diffusions with Jumps under Non-local Feynman-Kac Perturbations [PDF]

arXiv, 2017
In this paper we show that two-sided heat kernel estimates for a class of (not necessarily symmetric) diffusions with jumps are stable under non-local Feynman-Kac perturbations.
arxiv  

On the p-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity

Demonstratio Mathematica
In this article, we deal with the following pp-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity: M([u]s,Ap)(−Δ)p,Asu+V(x)∣u∣p−2u=λ∫RN∣u∣pμ,s*∣x−y∣μdy∣u∣pμ,s*−2u+k∣u∣q−2u,x∈RN,M({\left[u]}
Zhao Min, Song Yueqiang, Repovš Dušan D.   +2 more
doaj   +1 more source