Results 101 to 110 of about 1,356,954 (292)
Existence and continuity of global attractors for a degenerate semilinear parabolic equation
Electronic Journal of Differential Equations, 2009 In this article, we study the existence and the upper semicontinuity with respect to the nonlinearity and the shape of the domain of global attractors for a semilinear degenerate parabolic equation involving the Grushin operator.
Cung The Anh, Tran Dinh Ke
doaj
ON AN OPTIMAL STARTING CONTROL PROBLEM FOR DEGENERATE PARABOLIC EQUATION
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2013 An optimal control problem for degenerate parabolic equation with mixed boundary conditions are considered. Having applied the Hardy - Poincare inequality, it is shown that this problem has a unique optimal solution in the correspondence weighted Sobolev
I. G. Balanenko, P. I. Kogut
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On the parabolic potentials in degenerate‐type heat equation [PDF]
International Journal of Stochastic Analysis, 1991 Using distributions theory technique we introduce parabolic potentials for the heat equation with one time‐dependent coefficient (not everywhere positive and continuous) at the highest space‐derivative, discuss their properties, and apply obtained results to three illustrative problems.
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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 +11 more
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A Class of Degenerate Totally Nonlinear Parabolic Equations
Journal of Mathematical Analysis and Applications, 1996 The following initial-boundary value problem for a degenerate totally nonlinear parabolic equation is considered: \[ u_t=\beta (\phi (x,u_x)u_{xx} + f(x,u,u_x)),\quad (x,t)\in (0,1)\times (0,\infty ), \] \[ u_x(j,t)\in (-1)^j\beta_{j}(u(j,t)),\;j=0,1, \quad u(x,0)=u_0(x), \] as well as its higher space dimensional analogue.
Lin, Chin-Yuan, Fan, Li-Chang
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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 +11 more
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The Dirichlet Problem for a Certain Degenerate Parabolic Equation, II [PDF]
, 1997 We make an extension of the result obtained in our preceding paper [1] for the degenerate parabolic equation ut = [x(1-x)]αUxx(x, t) (α=1), studying the case of ...
KOBAYASHI Yasumaro +3 more
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Periodic doubly degenerate parabolic equation with nonlocal terms [PDF]
, 2010 This paper is a remark on Gao and Wang (2007) [4]. Under some weaker conditions than [4], we establish the existence of nontrivial nonnegative periodic solutions for a doubly degenerate parabolic equation with nonlocal terms.
Jiebao Sun +5 more
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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 +4 more
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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 +10 more
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