A note on Berestycki-Cazenave's classical instability result for nonlinear Schrödinger equations [PDF]
In this note we give an alternative, shorter proof of the classical result of Berestycki and Cazenave on the instability by blow-up for the standing waves of some nonlinear Schr\"odinger equations.
arxiv
Dynamic analysis of a delayed COVID-19 epidemic with home quarantine in temporal-spatial heterogeneous via global exponential attractor method. [PDF]
Zhu CC, Zhu J.
europepmc +1 more source
Low regularity for a quadratic Schrödinger equation on the circle [PDF]
In this paper we consider a Schrodinger equation on the circle with a quadratic nonlinearity. Thanks to an explicit computation of the first Picard iterate, we give a precision on the dynamic of the solution, whose existence was proved by C. E. Kenig, G. Ponce and L. Vega.
arxiv
Stability of mean convex cones under mean curvature flow [PDF]
We consider graphical solutions to mean curvature flow and obtain a stability result for homothetically expanding solutions coming out of cones of positive mean curvature: If another solution is initially close to the cone at infinity, then the difference to the homothetically expanding solution becomes small for large times.
arxiv
Stability of a two-dimensional biomorphoelastic model for post-burn contraction. [PDF]
Egberts G, Vermolen F, van Zuijlen P.
europepmc +1 more source
Arbitrary decays for a viscoelastic equation
In this paper, we consider the nonlinear viscoelastic equation ∣ u t ∣ ρ u t t - Δ u - Δ u t t + ∫ 0 t g ( t - s ) Δ u ( s ) d s + ∣ u ∣ p u = 0 , in a ...
Wu Shun-Tang
doaj
Dynamical analysis of a discrete-time COVID-19 epidemic model. [PDF]
Qadeer Khan A+3 more
europepmc +1 more source
Blow-up for an evolution
This paper investigates the blow-up properties of positive solutions to the following system of evolution p-Laplace equations with nonlocal sources and inner absorptions { u t − div ( | ∇ u | p − 2 ∇ u ) =
Liu Dengming+3 more
doaj
Stability of a one-dimensional morphoelastic model for post-burn contraction. [PDF]
Egberts G, Vermolen F, van Zuijlen P.
europepmc +1 more source
Global analysis of an environmental disease transmission model linking within-host and between-host dynamics. [PDF]
Cai L, Li Z, Yang C, Wang J.
europepmc +1 more source