Results 71 to 80 of about 15,297,882 (275)

Mixed Problem for a Parabolic System on a Plane and Boundary Integral Equations

Современная математика: Фундаментальные направления, 2018
We consider the mixed problem for a one-dimensional (with respect to the spatial variable) second-order parabolic system with Dini-continuous coefficients in a domain with nonsmooth lateral boundaries.
E A Baderko, M F Cherepova
doaj   +1 more source

Parabolicity of second order differrential equations in hilbert space

Semigroup Forum, 1991
The differential equation \(u''+Bu'+Au=0\) in a Hilbert space \(X\) is considered. Conditions entailing that this equation generates a corresponding equation in a larger extrapolation space which is parabolic are studied. For example, if \(A\), \(B\) are two positive, selfadjoint operators in \(X\), and \(D(A)=D(B^{1/\alpha})\), where \(1 ...
openaire   +2 more sources

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

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

Stochastic Parabolic Equations of Full Second Order [PDF]

, 2008
A procedure is described for defining a generalized solution for stochastic differential equations using the Cameron-Martin version of the Wiener Chaos expansion. Existence and uniqueness of this Wiener Chaos solution is established for parabolic stochastic PDEs such that both the drift and the diffusion operators are of the second order.
Lototsky, S. V., Rozovskii, B. L.
openaire   +2 more sources

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

An existence theorem for second order parabolic equations [PDF]

Transactions of the American Mathematical Society, 1958
0. THE EXISTENCE THEOREM. Let aii, bz for 1
openaire   +2 more sources

Dual‐Functional Terahertz Manipulation of EuBa2Cu3O7 Superconductors via Cooper Pair Dynamics

Advanced Science, EarlyView.
We use a spintronic‐metasurface THz emitter to realize chiral THz generation. Using polarization‐tunable THz pulses, we investigate equilibrium and photoinduced THz responses in a 43 nm thick EuBa2Cu3O7 (EBCO) thin film. The EBCO film achieves 46.81 dB EMI shielding and 113% photoinduced THz modulation with 19.0 ps recovery, enabled by Cooper‐pair ...
Zhangshun Li, Meng Yang, Zuanming Jin, Junxue Li, Zhiqiang Lan, Chen Huang, Alexei V. Balakin, Alexander P. Shkurinov, Yan Peng, Yiming Zhu, Songlin Zhuang   +10 more
wiley   +1 more source

Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients

Electronic Journal of Differential Equations, 2005
We consider degenerate parabolic and elliptic equations of second order with $C^1$ and $C^2$ coefficients. Error bounds for certain types of finite-difference schemes are obtained.
Hongjie Dong, Nicolai V. Krylov
doaj  

A finite difference method for nonlinear parabolic-elliptic systems of second order partial differential equations [PDF]

Opuscula Mathematica, 2007
This paper deals with a finite difference method for a wide class of weakly coupled nonlinear second-order partial differential systems with initial condition and weakly coupled nonlinear implicit boundary conditions.
Marian Malec, Lucjan Sapa
doaj