Asymptotic behavior of solutions to wave equations with a memory condition at the boundary
In this paper, we study the stability of solutions for wave equations whose boundary condition includes a integral that represents the memory effect. We show that the dissipation is strong enough to produce exponential decay of the solution, provided the
Mauro de Lima Santos
doaj
Refined Regularity of the Blow-Up Set Linked to Refined Asymptotic Behavior for the Semilinear Heat Equation. [PDF]
Ghoul TE, Nguyen VT, Zaag H.
europepmc +1 more source
Perfluorocarbon‐based artificial oxygen carriers have long been of scientific interest for because they can be used as oxygen donors in medical applications. Lecithin‐modified nanoscale oxygen carriers (LENOX) are a newly designed nanoscaled emulsion based on perfluorodecalin, which is characterized by its compatibility with numerous clinically ...
Fabian Nocke +5 more
wiley +1 more source
Low‐Energy Atomic Scattering: S‐Wave Relation Between the Interaction Potential and the Phase Shift
The validity of the on‐shell approximation for s‐wave scattering is examined across one, two, and three dimensions using exactly solvable model interaction potentials. By comparing exact and approximate s‐wave components of the interaction potential, the analysis reveals that the approximation improves with increasing momentum and decreasing ...
Francesco Lorenzi, Luca Salasnich
wiley +1 more source
Existence and asymptotic behavior of solutions for nonlinear Schrödinger-Poisson systems with steep potential well. [PDF]
Du M, Tian L, Wang J, Zhang F.
europepmc +1 more source
Critical System Size for the Recovery of Topological Zero Modes in Finite Non‐Hermitian Systems
A generalized non‐Hermitian SSH model on a topolectrical circuit reveals size‐dependent topological zero modes. Non‐Hermiticity enables exact zero‐admittance edge states at a critical system size, tunable via asymmetric coupling and gain/loss. Large impedance peaks signal these modes, offering insights for designing robust topological devices with ...
S M Rafi‐Ul‐Islam +3 more
wiley +1 more source
Asymptotic behavior of Laplacian-energy-like invariant of the 3.6.24 lattice with various boundary conditions. [PDF]
Liu JB, Cao J, Hayat T, Alsaadi FE.
europepmc +1 more source
Quantum Jumps in Amplitude Bistability: Tracking a Coherent and Invertible State Localization
A notable asymmetry is shown to characterize the bistable switching between macroscopic metastable states of light in the strong‐coupling limit of radiation–matter interaction. Transitions from the vacuum to a highly excited state correlate with a highly bunched sequence of emitted photons, while a downward switch to the vacuum involves a coherent ...
Th. K. Mavrogordatos
wiley +1 more source
Asymptotic behavior of HIV-1 epidemic model with infinite distributed intracellular delays. [PDF]
Ali N, Zaman G.
europepmc +1 more source
The Stochastic‐Dissipative Störmer Problem‐Trajectories and Radiation Patterns
We consider charged particle motion and radiation in a dipole magnetic field, in the presence of friction and of stochastic forces. The numerical solutions of the Langevin equation reveal how these forces modify the complex dynamics of particles, and they offer some new insights into the nonlinear processes relevant to planetary radiation belts ...
Tiberiu Harko, Gabriela Raluca Mocanu
wiley +1 more source

