Results 51 to 60 of about 942 (96)

On the principle of linearized stability in interpolation spaces for quasilinear evolution equations [PDF]

arXiv, 2018
We give a proof for the asymptotic exponential stability of equilibria of quasilinear parabolic evolution equations in admissible interpolation spaces.
arxiv  

Superlensing using complementary media and reflecting complementary media for electromagnetic waves

Advances in Nonlinear Analysis, 2018
In this paper, we present the proof of superlensing an arbitrary object using complementary media and we study reflecting complementary media for electromagnetic waves. The analysis is based on the reflecting technique and new results on the compactness,
Nguyen Hoai-Minh
doaj   +1 more source

Decay of the local energy for the solutions of the critical Klein-Gordon equation [PDF]

arXiv, 2019
In this paper, we prove the exponential decay of local energy for the Klein-Gordon equation with localized critical nonlinearity. The proof relies on generalized Strichartz estimates, and semi-group of Lax-Phillips.
arxiv  

A variety of soliton solutions for the fractional Wazwaz-Benjamin-Bona-Mahony equations

Results in Physics, 2019
In the present paper, the new three-dimensional modified Benjamin-Bona-Mahony equations recently introduced are analyzed with the introduction of the spatial and temporal fractional order derivatives using conformable fractional derivative.
Aly R. Seadawy, Khalid K. Ali, R.I. Nuruddeen   +2 more
doaj  

Asymptotic stability of local Helfrich minimizers [PDF]

arXiv, 2015
We show that local minimizers of the Canham-Helfrich energy are asymptotically stable with respect to a model for relaxational fluid vesicle dynamics that we already studied in previous papers ([12, 11]). The proof is based on a Lojasiewicz-Simon inequality.
arxiv  

Discrete-time COVID-19 epidemic model with chaos, stability and bifurcation. [PDF]

Results Phys, 2022
Al-Basyouni KS, Khan AQ.
europepmc   +1 more source

Boundedness and long-time behavior in a parabolic-elliptic system arising from biological transport networks

Advances in Nonlinear Analysis
The aim of this article is to consider a three-dimensional Cauchy problem for the parabolic-elliptic system arising from biological transport networks. For such problem, we first establish the global existence, uniqueness, and uniform boundedness of the ...
Li Bin
doaj   +1 more source

Interior Estimates for Generalized Forchheimer Flows of Slightly Compressible Fluids

Advanced Nonlinear Studies, 2017
The generalized Forchheimer flows are studied for slightly compressible fluids in porous media with time-dependent Dirichlet boundary data for the pressure. No restrictions are imposed on the degree of the Forchheimer polynomial. We derive, for all time,
Hoang Luan T., Kieu Thinh T.
doaj   +1 more source

Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities

Advances in Nonlinear Analysis
This article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities.
Liu Yuan-Hao, Bu Zhen-Hui, Zhang Suobing
doaj   +1 more source

Spatio-Temporal SIR Model with Robin Boundary Condition and Automatic Lockdown Policy. [PDF]

Int J Appl Comput Math, 2023
Elamraoui O, Essoufi EH, Zafrar A.
europepmc   +1 more source