Results 101 to 110 of about 1,303,815 (271)

Boundary condition of the volume potential for an elliptic-parabolic equation with a scalar parameter

Electronic Journal of Differential Equations, 2018
Using the descent method for the fundamental solution of the heat equation with a scalar parameter, we find the fundamental solution of the multidimensional Helmholtz equation in an explicit form.
Tynysbek Sh. Kal'menov, Gaukhar D. Arepova, Dana D. Arepova   +2 more
doaj  

A Quasilinear Parabolic Equation with Quadratic Growth of the Gradient modeling Incomplete Financial Markets [PDF]

We consider a quasilinear parabolic equation with quadratic gradient terms. It arises in the modelling of an optimal portfolio which maximizes the expected utility from terminal wealth in incomplete markets consisting of risky assets and non-tradable ...
Ansgar Jüngel, Bertram Düring
core  

Enhancing Near‐Room‐Temperature Thermoelectric Performance of n‐Type Mg3(Sb, Bi)2‐Based Materials via ZrB2 Heterointerface Engineering

Advanced Science, EarlyView.
A conductive ZrB2 ceramic composite strategy was developed for Mg3(Sb, Bi)2 thermoelectrics to regulate carrier transport and phonon scattering through heterointerface engineering. The 1.0 wt.% ZrB2 composite achieved enhanced room‐temperature performance, with a power factor of 28.51 µW cm−1 K−2 and a peak ZT of 1.22 at 573 K.
Yangyang Xu, Li Zhang, Meng Li, Jie Zhang, Nan‐Hai Li, Yan‐Ling Yang, Xiao‐Lei Shi, Zhi‐Gang Chen   +7 more
wiley   +1 more source

The numerical solution of the nonlinear hyperbolic-parabolic heat equation

Discrete and Continuous Models and Applied Computational Science
The article discusses a mathematical model and a finite-difference scheme for the heating process of an infinite plate. The disadvantages of using the classical parabolic heat equation for this case and the rationale for using the hyperbolic heat ...
Vladislav N. Khankhasaev, Safron A. Bairov   +1 more
doaj   +1 more source

Disorder Driven Anisotropic Nonlinear Hall Effect in the Kagome Metal YbCo6Ge6 at Room Temperature

Advanced Science, EarlyView.
The intrinsic structural disorder and short‐range correlated motifs in the kagome metal YbCo6Ge6 constitute the primary mechanism for a robust and anisotropic nonlinear Hall effect (NLHE). This effect is sustained across a wide temperature range, achieving a nonlinear responsivity of up to ∼4.5 × 10−3 m/V at 70 K, higher than known disordered and ...
Qurat Ul Ain, Weiyao Zhao, Thanh Tung Huynh, Yuefeng Yin, Fang Tang, Yong Fang, Junlin Yan, Jacek Jasieniak, Timothy Petersen, Yang Liu, Nikhil V. Medhekar, Julie Karel   +11 more
wiley   +1 more source

Analysis of radio propagation over rough sea surface with parabolic equation

Tongxin xuebao, 2009
An improved impedance boundary method was presented and the initial field was calculated by Green function,which improved the stability and accurateness of the parabolic equation（PE）.Eventually,the forecast of propagation over rough sea surface had been ...
GUO Jian-yan1, WANG Jian-ying2, LONG Yun-liang2   +2 more
doaj   +2 more sources

A parabolic conjugation problem with general boundary condition and a conjugation condition of Wentzel type

Karpatsʹkì Matematičnì Publìkacìï, 2010
We consider the question of existence in Holder class of a solution of an initial-boundary problem for linear parabolic second-degree equation with discontinuous coefficients with a boundary condition and a conjugation condition which are defined by ...
Tsapovska Zh.Ya., Mylyo O.Ya., Kopytko B.I.   +2 more
doaj  

Atomistic Kinetics of Dislocation‐Mediated Grain Growth in Monolayer MoS2

Advanced Science, EarlyView.
Atomic‐resolution in‐situ heating microscopy directly visualizes dislocation‐mediated grain boundary migration and grain growth in monolayer MoS2. Mobile grain boundaries migrate through collective motion of Mo 5|7 dislocations, whereas S 5|7 defects remain largely immobile.
Chang‐Won Choi, Min‐Yeong Choi, Tao Du, Jinho Rhee, Seokho Moon, Yeon‐Seo Nam, Xiaoyan Lu, Jong Kyu Kim, Jungwon Park, Moon‐Ho Jo, Cheol‐Joo Kim, Si‐Young Choi   +11 more
wiley   +1 more source

Approximation of optimal control for functional-differential equations by optimal control of equations without delay in infinite-dimensional spaces

Researches in Mathematics
The problem of optimal control for a functional-differential equation of parabolic type in a Banach space is studied. An approximation procedure is proposed, which consists of replacing the original equation by the system of parabolic equations without ...
O.V. Perehuda, O.A. Kapustian, V.V. Mogylova   +2 more
doaj   +1 more source

Micro/Nanoscale Acoustic Manipulation: From Particle Control to Autonomous Microswimmers

Advanced Science, EarlyView.
This conceptual framework illustrates acoustic technology as a multifunctional platform enabling passive particle manipulation across scales and autonomous propulsion of microswimmers. ABSTRACT Acoustic manipulation and propulsion technologies have emerged as powerful platforms for micro/nanoscale control, enabled by their non‐contact operation, label ...
Jiahui Chu, Lemin Zhang, Xu Wang, Wenzong Li, Yahua Liu   +4 more
wiley   +1 more source