Self-similar asymptotic profile of the solution to a nonlinear evolution equation with critical dissipation
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4469
Abstract: In this paper, we obtain optimal decay estimates for the solutions to an evolution equation with critical, structural, dissipation, and absorbing power nonlinearity: utt+Δ2θu+2μ(−Δ)θut+|ut|p−1ut=0,t≥0,x∈Rn, with μ>0, θ is a positive integer, and p>1+4θ/n, in space dimension n∈(2θ,4θ). We… read more here.
Keywords: self similar; equation critical; similar asymptotic; asymptotic profile ... See more keywords
Construction of a Blow-Up Solution for the Complex Ginzburg–Landau Equation in a Critical Case
Sign Up to like & getrecommendations! Published in 2017 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-017-1211-3
Abstract: We construct a solution for the Complex Ginzburg–Landau equation in a critical case which blows up in finite time T only at one blow-up point. We also give a sharp description of its profile. The… read more here.
Keywords: solution complex; complex ginzburg; ginzburg landau; equation critical ... See more keywords
Ground state and nodal solutions for a Schrödinger-Poisson equation with critical growth
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5050856
Abstract: In this paper, we study a nonlinear Schrodinger-Poisson equation with critical growth in R3. Under some assumptions on potential functions, we prove that for p ∈ (3, 6), the Schrodinger-Poisson equation has ground state and… read more here.
Keywords: poisson equation; state nodal; critical growth; equation critical ... See more keywords
Revised NIOSH lifting equation: a critical evaluation
Sign Up to like & getrecommendations! Published in 2022 at "International Journal of Occupational Safety and Ergonomics"
DOI: 10.1080/10803548.2022.2049123
Abstract: The revised NIOSH lifting equation (RNLE) aims to manage lifting-related lower back pain (LBP), by determining safe load limits. Many researchers have studied the multiplier development criteria, the universal applicability of the equation and its… read more here.
Keywords: equation; equation critical; revised niosh; niosh lifting ... See more keywords