Exclusion processes with degenerate rates: convergence to equilibrium and tagged particle
Stochastic lattice gases with degenerate rates, namely conservative particle systems where the exchange rates vanish for some configurations, have been introduced as simplified models for glassy dynamics.
A. Barrat+23 more
core +2 more sources
Difference schemes for degenerate parabolic equations [PDF]
Diagonal dominant implicit-difference schemes approximating a porous media type class of multidimensional nonlinear equations are shown to generate semigroups in an approximate L 1 {L^1} -space, and the rate of convergence to the semigroup solution in L 1
openaire +1 more source
Supercompliant Lattice Boosts n‐type AgSbTe2 Thermoelectrics
The supercompliant lattice design enables the first realization of n‐type electrical transport in AgSbTe2 by overcoming intrinsic electron‐killer defects and exceeding the doping limits imposed by the conventional Hume–Rothery rule. Accordingly, the best performance n‐type Ag0.8Na0.3Sb0.6Bi0.4Te2 sample achieves a low κ of 0.27 W·m−1·K−1 that ...
Ruoyan Li+15 more
wiley +1 more source
Parabolic Nonlinear Second Order Slip Reynolds Equation: Approximation and Existence
This work studies an initial boundary value problem for nonlinear degenerate parabolic equation issued from a lubrication slip model. Existence of solutions is established through a semi discrete scheme approximation combined with some a priori estimates.
K. Ait Hadi
doaj +1 more source
Coefficient inverse problem for the strongly degenerate parabolic equation
The coefficient inverse problem for the degenerate parabolic equation is investigated. The minor coefficient of this equation is the polynomial of the first power with respect to the space variable with two unknown time-dependent functions.
N.M. Huzyk, P.Y. Pukach, M.I. Vovk
doaj +1 more source
Wellposedness and regularity for a degenerate parabolic equation arising in a model of chemotaxis with nonlinear sensitivity [PDF]
We study a one-dimensional parabolic PDE with degenerate diffusion and non-Lipschitz nonlinearity involving the derivative. This evolution equation arises when searching radially symmetric solutions of a chemotaxis model of Patlak-Keller-Segel type.
Alexandre Montaru
semanticscholar +1 more source
Flatness for a strongly degenerate 1-D parabolic equation [PDF]
We consider the degenerate equation $$\begin{aligned} \partial _t f(t,x) - \partial _x \left( x^{\alpha } \partial _x f \right) (t,x) =0, \end{aligned}$$∂tf(t,x)-∂xxα∂xf(t,x)=0,on the unit interval $$x\in (0,1)$$x∈(0,1), in the strongly degenerate case $$
Iván Moyano
semanticscholar +1 more source
Omnidirectional Transmissive Acoustic Metasurfaces Based on Goldberg Polyhedra
This study introduces omnidirectional acoustic metasurfaces capable of manipulating wavefronts in multiple arbitrary directions simultaneously. A full‐stack pipeline for design, optimization, and fabrication is presented to construct near‐spherical holograms based on Goldberg polyhedra.
Andrea Achilleos+3 more
wiley +1 more source
Regularity of random attractors for stochastic semilinear degenerate parabolic equations
We consider the stochastic semilinear degenerate parabolic equation $$ 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
Emerging Opportunities of Colloidal Quantum Dots for Photocatalytic Organic Transformations
Colloidal quantum dots (QDs) have gained significant attention as photocatalysts in organic transformations in recent years. This review highlights QDs’ distinctive features, including the quantum size effect, compositional and structural diversity, tunable surface chemistry, and photophysics.
Qinxuan Cao+4 more
wiley +1 more source