Results 21 to 30 of about 2,475,365 (332)

ASYMMETRIC IMPURITY SEGREGATION IN MULTI-LAYERED FILMS [PDF]

Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2013
Peculiarities of segregation of impurities at the boundaries of a thin film separating two different solid materials are considered. Theoretical and numerical analysis of kinetics of impurity redistribution within the film and at the boundaries has been ...
I.M. Davydova, T.N. Melnik, V.M. Yurchenko   +2 more
doaj  

The asymptotic behavior of solutions to a class of inhomogeneous problems: an Orlicz–Sobolev space approach

Electronic Journal of Qualitative Theory of Differential Equations, 2021
The asymptotic behavior of the sequence $\{v_n\}$ of nonnegative solutions for a class of inhomogeneous problems settled in Orlicz–Sobolev spaces with prescribed Dirichlet data on the boundary of domain $\Omega$ is analysed.
Andrei Grecu, Denisa Stancu-Dumitru
doaj   +1 more source

Regularity of H\"older continuous solutions of the supercritical quasi-geostrophic equation

, 2007
We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical ($\alpha< 1/2$) dissipation $(-\Delta)^\alpha$ : If a Leray-Hopf weak solution is H\"{o}lder continuous $\theta\in C^\delta({\mathbb R}^2)$ with ...
Caffarelli, Chae, Chae, Chen, Constantin, Constantin, Constantin, Constantin, Córdoba, Held, Jiahong Wu, Ju, Ju, Kiselev, Marchand, Pedlosky, Peter Constantin, Schonbek, Schonbek, Wu, Wu, Wu, Wu, Wu   +23 more
core   +1 more source

Weak solutions for forward--backward SDEs--a martingale problem approach

, 2009
In this paper, we propose a new notion of Forward--Backward Martingale Problem (FBMP), and study its relationship with the weak solution to the forward--backward stochastic differential equations (FBSDEs).
Ma, Jin, Zhang, Jianfeng, Zheng, Ziyu
core   +1 more source

On Uniqueness and Continuous Dependence of the Weak Solutions of Neutral Stochastic Functional Differential Equations in Infinite Dimensional Spaces

Journal of Optimization, Differential Equations and Their Applications
In this paper we establish uniqueness of the weak solutions of nonlinear stochastic functional differential equations of neutral type in Hilbert spaces.
Z. P. Khaletska, M. N. Ospanov, Y. M. Perestyuk, O. A. Pravdyvyi   +3 more
doaj   +1 more source

A semigroups theory approach to a model of suspension bridges

Electronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper we study the existence and uniqueness of the weak solution of a mathematical model that describes the nonlinear oscillations of a suspension bridge. This model is given by a system of partial differential equations with damping terms.
Rodiak Figueroa-López, German Lozada-Cruz   +1 more
doaj   +1 more source

Weak-strong uniqueness of solutions to entropy-dissipating reaction-diffusion equations

, 2017
We establish a weak-strong uniqueness principle for solutions to entropy-dissipating reaction-diffusion equations: As long as a strong solution to the reaction-diffusion equation exists, any weak solution and even any renormalized solution must coincide ...
Alexandre, Alexandre, Bothe, Canizo, Caputo, Dal Maso, Desvillettes, Desvillettes, Desvillettes, Desvillettes, Desvillettes, DiPerna, DiPerna, DiPerna, Feinberg, Feireisl, Feireisl, Fiebach, Fischer, Gajewski, Gajewski, Glitzky, Goudon, Julian Fischer, Kräutle, Laamri, Liero, Liero, Mielke, Mielke, Mincheva, Murat, Pierre, Pierre, Pierre, Pierre, Schuster, Villani   +37 more
core   +1 more source

Weak transversality and partially invariant solutions [PDF]

Journal of Mathematical Physics, 2003
New exact solutions are obtained for several nonlinear physical equations, namely the Navier–Stokes and Euler systems, an isentropic compressible fluid system and a vector nonlinear Schrödinger equation. The solution method makes use of the symmetry group of the system in situations when the standard Lie method of symmetry reduction is not applicable.
Grundland, A. M., Tempesta, P., Winternitz, P.   +2 more
openaire   +3 more sources

Convergence in $C(\lbrack0,T\rbrack;L^2(\Omega))$ of weak solutions to perturbed doubly degenerate parabolic equations

, 2016
We study the behaviour of solutions to a class of nonlinear degenerate parabolic problems when the data are perturbed. The class includes the Richards equation, Stefan problem and the parabolic $p$-Laplace equation.
Droniou, Jérôme, Eymard, Robert, Talbot, Kyle S.   +2 more
core   +2 more sources

DELP Treatment on Vision and Retinal Microcirculation in Patients With Acute Ischemic Stroke: Report of Five Cases and Literature Review

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background The delipid extracorporeal lipoprotein filter from plasma (DELP) treatment can effectively reduce blood lipid, increase blood flow, and improve neurological deficits in patients with acute ischemic stroke (AIS). However, its effect on vision and retinal microcirculation in stroke patients has never been reported.
Ning Li, Ronghua Hong, Hua You, Feiping Xu, Qingjun Zhang, Yiwen Lin, Yuting Su, Danmei Lan, Lingjing Jin, Junhui She   +9 more
wiley   +1 more source