Rigorous Derivation of the Degenerate Parabolic-Elliptic Keller-Segel System from a Moderately Interacting Stochastic Particle System. Part I Partial Differential Equation [PDF]
Li Chen, Veniamin Gvozdik, Yue Li
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The tripodal terpyridine‐1,3,5‐benzene tricarboxamide (BTA) ligand 1 is employed in the self‐assembly formation of novel luminescent materials using a range of lanthanide ions. In the polar protic solution, the results from the photophysical measurements are assessed using nonlinear regression analysis, while the functional material properties of the ...
Jason M. Delente +6 more
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Approximate general solution of degenerate parabolic equations related to population genetics
degenerate parabolic equation related to population genetics and implements a computational procedure. The result gives a theoretical foundation to the computer algebraic approach for degenerate partial differential equations and introduces a new ...
Kazuo Amano
doaj
A boundary value problem for the fourth-order degenerate equation of the mixed type
Many problems in mechanics, physics, and geophysics lead to solving partial differential equations that are not included in the known classes of elliptic, parabolic or hyperbolic equations.
J.A. Otarova
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Terahertz Volume Plasmon‐Polariton Modulation in All‐Dielectric Hyperbolic Metamaterials
THz volume plasmon‐polariton (VPP) propagation through plasmon‐based hyperbolic metamaterials, made of alternating layers of doped and undoped III‐V semiconductors. Abstract The development of plasmonics and related applications in the terahertz range faces limitations due to the intrinsic high electron density of the standard metals.
Stefano Campanaro +3 more
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Gradient bounds for solutions of nonlinear strictly elliptic equations, applications and extensions
In this short manuscript, we briefly recall some well-known methods for obtaining gradient bounds of viscosity solutions for elliptic and parabolic equations.
Duc Nguyen Vinh
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Studying behavior of the asymptotic solutions to P-Laplacian type diffusion-convection model [PDF]
The rescaling method is presented to allow us to establish nonnegative local solutions to the evolution of the Cauchy problem (CP) of the nonlinear degenerate parabolic p-Laplacian process with conservation laws that are posed in one-dimensional space ...
Habeeb Aal-Rkhais, Ruba Qasim
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Enhancing Triplet Excitons Lifetime Through Controlled Intermolecular Interactions
Singlet fission (SF) is investigated in pentacene embedded in a surface‐anchored metal–organic framework, enabling a molecular arrangement inaccessible in pure organic crystals. This architecture changes the singlet fission dynamics significantly and enhances the triplet lifetime by almost four orders of magnitude.
Martin Richter +9 more
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The efficiency of bulk perovskite‐sensitised upconversion is hindered by parasitic singlet back‐transfer. A 2D perovskite spacer layer is introduced to weaken this loss pathway by increasing the separation between the sensitiser and the emitter. The spacer layer enhances the upconversion efficiency at lower excitation powers and improves the stability ...
Nicholas P. Sloane +10 more
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Propagation of perturbations in the first boundary-value problem for a double-nonlinear degenerate parabolic equation [PDF]
A. S. Kalashnikov
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