Results 61 to 70 of about 1,545,883 (293)
, 2017 For a singularly perturbed parabolic problem with Dirichlet boundary conditions, the asymptotic decomposition of a solution periodic in time and with boundary layers near the ends of the segment where the degenerate equation has a double root is ...
K. R. Schneider +7 more
core +1 more source
A Singular Nondegenerate Parabolic Equation
, 2021 We consider non degenerate singular parabolic problems, giving some existence or non existence results, which depend on the value of the parameter of the singular term.
Mugnai, Dimitri +3 more
core +1 more source
Plasmon‐Enhanced Second‐Harmonic Generation in Atomically Thin Crystalline Silver Nanostructures
Advanced Materials, EarlyView.Atomically thin crystalline silver films combine vertical quantum confinement with lateral plasmonic field enhancement to boost second‐harmonic generation. Nanoribbon and nanotriangle arrays enable geometry‐tunable infrared plasmon resonances, producing strong SHG from deeply subwavelength metallic volumes compatible with silicon‐based nanophotonics ...
Saad Abdullah +10 more
wiley +1 more source
Liquid Crystal Elastomer Actuator Matrix for Large Area Applications
Advanced Materials Technologies, EarlyView.A scalable approach is used to manufacture a digitally‐controllable, 2D 5 × 5 actuator matrix. The elements of the matrix are produced by direct ink writing of a liquid crystal elastomer ‘artificial muscle’ on large‐area flexible thin‐film heaters. In optimizing the low‐power actuators, multiple heater designs and substrate materials are investigated ...
Giulia Spallanzani +5 more
wiley +1 more source
On a degenerate parabolic equation from double phase convection
Advances in Difference Equations, 2021 The initial-boundary value problem of a degenerate parabolic equation arising from double phase convection is considered. Let a ( x ) $a(x)$ and b ( x ) $b(x)$ be the diffusion coefficients corresponding to the double phase respectively.
Huashui Zhan
doaj +1 more source
Almost Periodicity and Degenerate Parabolic Equations
Rocky Mountain Journal of Mathematics, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Self‐Sealing Microneedles Improve Precision and Reduce Reflux in Subretinal Cell Transplantation
Advanced Materials Technologies, EarlyView.Ultrafine 49G microneedles enable subretinal delivery of induced pluripotent stem cell‐derived retinal pigment epithelial cells through a 50 µm outer diameter tip. Compared with conventional 38G microcannulas, these microneedles reduce cell suspension reflux in a rabbit model, highlighting the potential of microinvasive delivery instruments to improve ...
Jared Ching +9 more
wiley +1 more source
Quasiconformal mappings and degenerate elliptic and parabolic equations
Le Matematiche, 1987 In this paper two Harnak inequalities are proved concerning a degenerate elliptic and a degenerate parabolic equation. In both cases the weight giving the degeneracy is a power of the jacobian of a quasiconformal mapping.
Filippo Chiarenza +1 more
doaj
On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation [PDF]
Discrete Dynamics in Nature and Society, 2009 By Oleinik′s line method, we study the existence and the uniqueness of the classical solution of the Cauchy problem for the following equation in [0, T] × R2: ∂xxu + u∂yu − ∂tu = f(⋅, u), provided that T is suitable small. Results of numerical experiments are reported to demonstrate that the strong solutions of the above equation may blow up in ...
Zongqi Liang, Huashui Zhan
openaire +3 more sources
, 2016 In this paper we propose a definition of "parabolic NTA" for solutions to the degenerate p-parabolic equation. Given this definition we prove the Carleson estimate, originally proved for this equation in Avelin et al.
Avelin, Benny,
core +1 more source