Results 71 to 80 of about 119,303 (372)
Admissible conditions for parabolic equations degenerating at infinity [PDF]
St. Petersburg Mathematical Journal, 2008 From the introduction: We investigate existence and uniqueness for bounded solutions of the parabolic Cauchy problem \[ \begin{aligned} \rho\partial_tu= \Delta u\quad &\text{in }\mathbb{R}^n\times \mathbb{R}_+:= S,\\ u= u_0\quad &\text{in }\mathbb{R}^n\times \{0\}\;(n\geq 3).\end{aligned}\tag{1.1} \] Concerning the coefficient \(\rho= \rho(x)\) and the
KAMIN S +2 more
openaire +2 more sources
Advanced Functional Materials, EarlyView.Flow through a nozzle is a common component of most fluid‐based polymer processing techniques such as spray drying, inkjet printing, extrusion. An ultrahigh molecular weight multi‐mechanophore system is used to probe the differences in the distribution of mechanical activation observed between nozzle flow and ultrasonication; the gold standard ...
Niamh Willis‐Fox +4 more
wiley +1 more source
Advanced Functional Materials, EarlyView.Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley +1 more source
Regularity of random attractors for stochastic semilinear degenerate parabolic equations
Electronic Journal of Differential Equations, 2012 We consider the stochastic semilinear degenerate parabolic equation $$ du+[- operatorname{div}(sigma(x)abla u) + f(u) + lambda u]dt = gdt+ sum_{j=1}^{m}h_j{domega_j} $$ in a bounded domain $mathcal{O}subset mathbb {R}^N$, with the nonlinearity ...
Cung The Anh +2 more
doaj
Increasing powers in a degenerate parabolic logistic equation [PDF]
, 2012 The purpose of this paper is to study the asymptotic behavior of the positive solutions of the problem $$ \partial_t u-\Delta u=a u-b(x) u^p \text{in} \Omega\times \R^+, u(0)=u_0, u(t)|_{\partial \Omega}=0 $$ as $p\to +\infty$, where $\Omega$ is a ...
Hugo Tavares, Jose Francisco, Rodrigues
core
, 2015 In this paper, we study a nonlocal degenerate parabolic equation of order {\alpha} + 2 for ...
Tarhini, Rana
core +2 more sources
Entropy formulation of degenerate parabolic equation with zero-flux boundary condition
, 2013 We consider the general degenerate hyperbolic-parabolic equation: $$u_t + {\rm div} f(u) - \Delta \phi(u) = 0\; {\rm in} Q = (0, T) \times \Omega, \quad T > 0, \quad \Omega \subset \mathbb{R}^N;$$with initial condition and the zero flux boundary ...
B. Andreianov, Mohamed Karimou Gazibo
semanticscholar +1 more source
A New Family of Ternary Intermetallic Compounds with Dualistic Atomic Ordering – The ZIP Phases
Advanced Materials, EarlyView.The ZIP phases are ternary intermetallic compounds with dualistic atomic ordering, i.e., they exhibit one face‐centered cubic (fcc; space group Fd3¯$\bar 3$m) variant and one hexagonal (space group P63/mmc) variant. The ZIP phases in the Nb‐Si‐Ni system are the Nb3SiNi2 (fcc) and Ni3SiNb2 (hexagonal) ternary IMCs, crystal structure schematics of which ...
Matheus A. Tunes +24 more
wiley +1 more source
Blowup rate of solutions of a degenerate nonlinear parabolic equation
, 2017 We study a nonlinear parabolic equation arising from heat combustion and plane curve evolution problems. Suppose that a solution satisfies a symmetry condition and blows up of type Ⅱ.
Chi-Cheung Poon
semanticscholar +1 more source
Directional Flow of Confined Polaritons in CrSBr
Advanced Materials, EarlyView.CrSBr, a layered magnetic semiconductor, naturally channels self‐hybridized excitonpolaritons into highly directional flow. Its intrinsic optical anisotropy, high refractive index, and strong lightmatter coupling enable long‐range guided modes along the a‐axis, with propagation lengths set by their excitonphoton admixture.
Pratap Chandra Adak +10 more
wiley +1 more source