Results 61 to 70 of about 11,243 (308)
Innovative approach to unbounded boundary value problems: IRPSM-Padé algorithm
Partial Differential Equations in Applied MathematicsIn this effort, a new method called the improved residual power series method with Padé approximants (IRPSM-Padé) has been introduced to solve the boundary value problems (BVPs) on an unbounded domain.
Abdullah Dawar
doaj +1 more source
Rellich type theorems for unbounded domains
Inverse Problems and Imaging, 2014 We give several generalizations of Rellich's classical uniqueness theorem to unbounded domains. We give a natural half-space generalization for super-exponentially decaying inhomogeneities using real variable techniques. We also prove under super-exponential decay a discrete generalization where the inhomogeneity only needs to vanish in a suitable cone.
openaire +3 more sources
Asymptotic Behavior of Neural Fields in an Unbounded Domain [PDF]
Differential Equations and Dynamical Systems, 2014 In this paper, we prove the existence of a compact global attractor for the flow generated by equation $$ \frac{\partial u}{\partial t}(x,t)+u(x,t)= \int_{\mathbb{R}^{N}}J(x-y)(f( u(y,t))dy+ h, \quad h > 0, \quad x\in \mathbb{R}^{N}, \quad t\in\mathbb{R}_{+} $$ in the weight space $L^{p}(\mathbb{R}^{N}, ρ)$.
da Silva, Severino Horácio +1 more
openaire +2 more sources
Advanced Functional Materials, EarlyView.Self‐assembled monolayers (SAMs) are promising hole‐transporting materials for organic photovoltaics (OPVs), but suffer from self‐aggregation and poor large‐area uniformity. We find that interfacial modification using nicotinic hydrazide can eliminate the residual SAM aggregates by forming energetically favorable complexes, yielding uniform SAM.
Seongwon Yoon +10 more
wiley +1 more source
Localization of dependence for solutions of hyperbolic differential equations
Electronic Journal of Differential Equations, 2000 We survey several results that localize the dependence of solutions to hyperbolic equations. These observations address questions that are central to numerical simulation of solutions on unbounded spatial domains. One result shows that in principle it is
Henry Warchall
doaj
Asymptotic behavior of solutions of a parabolic equations in a band domain
上海师范大学学报. 自然科学版We consider a quasilinear parabolic equation in a band domain with inhomogeneous and unbounded boundary conditions. We show that, under certain conditions, the solution u of the initialboundary value problem tends to infinite as t→∞.
DU Wenjing +4 more
doaj +1 more source
Multiplex Modular Nanorobotic Systems with Catalytic Activity under Magnetic Navigation
Advanced Functional Materials, EarlyView.We present modular nanorobots composed of a magnetic propulsion module and different extension modules carrying functional activities, assembled via DNA base pairing. The system integrates propulsion, optical tracking, enzymatic catalysis, and cell docking in a programmable manner.
Voichita Mihali +7 more
wiley +1 more source
Open PhysicsDue to the nonlocality of fractional derivatives, the numerical methods for solving nonlinear fractional Whitham–Broer–Kaup (WBK) equations are time-consuming and tedious.
Zhao Li-Fang, Zhang Wei
doaj +1 more source
Forced Burgers Equation in an Unbounded Domain
Journal of Statistical Physics, 2003 9 pages, 10 figures, revtex4, J. Stat.
Bec, Jérémie, Khanin, Konstantin
openaire +4 more sources
Chirality and Organization of Adsorbates Modify Surface Phonon Dynamics
Advanced Functional Materials, EarlyView.Chirality and molecular organization are shown to influence surface phonon dynamics in gold films. Time‐resolved Joule heating measurements reveal that ordered homochiral monolayers increase the Debye temperature and disordered layers reduce it, while ordered racemic controls have no effect.
Meital Ozeri +6 more
wiley +1 more source