In this article, we deal with an inhomogeneous fast diffusive polytropic filtration equation. By using the energy estimate approach, Hardy–Littlewood–Sobolev inequality, and a series of ordinary differential inequalities, prove global existence result obtain conditions on occurrence extinction phenomenon weak solution.

Abstract. Visibility data are fundamental meteorological observation widely used in many fields. When using visibility data, it is often necessary to calculate the average visibility, which be arithmetic of directly. In this study, we first analyze relationship between extinction coefficient, and atmospheric compositions. Then propose use harmonic as can better reflect changes coefficients aero...

Abstract Laboratory results of the optical properties vapor-deposited water ice, specifically refractive index and extinction coefficient, are available mainly for a selective set wavelengths limited number deposition temperatures. Experimental limitations main reason lack broadband data, which is unfortunate as these quantities needed to interpret predict astronomical planetary observations. T...

Reproduction is inherently risky, in part because genomic replication can introduce new mutations that are usually deleterious toward fitness. This risk is especially severe for organisms whose genomes replicate "semi-conservatively," e.g. viruses and bacteria, where no master copy of the genome is preserved. Lethal mutagenesis refers to extinction of populations due to an unbearably high mutat...