In this paper, we consider a problem with a free boundary for a diffusive predator-prey system in the onedimensional case.Nonlinear problems with free boundary are studied using a method based on constructing a priori estimates.Therefore, first, using a method based on constructing a priori estimates, we will determine the constraints on the parame
Multipole expansions are an essential analysis tool in the foundations of the descriptions of the electromagnetic fields radiated by electric Coat and magnetic sources.Nevertheless, practical antenna systems generally rely on them as an academic explanation, not as a fundamental building block.An overview of the recent surge in interest in multipol
The momentum flux-gradient relationships within the urban roughness sublayer deviate from the classical relationships proposed by the Monin-Obukhov similarity theory.Despite this discrepancy, prevailing atmospheric models persistently rely on these classical relationships, which were originally derived from natural, homogeneous surfaces.This practi
A 63-year-old man presented to our hospital with Dining Chairs 2 days history of right-sided earache and numbness followed by development of vesicular rash involving the right side of the face.No history of headache, tinnitus, giddiness or hearing impairment.Neurological examination revealed right-sided mild lower motor neuron type facial palsy (A)