Results 41 to 50 of about 136 (127)

Sharp Liouville Theorems

Advanced Nonlinear Studies, 2021
Consider the equation div⁡(φ2⁢∇⁡σ)=0{\operatorname{div}(\varphi^{2}\nabla\sigma)=0} in ℝN{\mathbb{R}^{N}}, where φ>0{\varphi>0}. Berestycki, Caffarelli and Nirenberg proved in [H. Berestycki, L. Caffarelli and L. Nirenberg, Further qualitative properties
Villegas Salvador
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Stability and Instability of Solitary Wave Solutions of a Nonlinear Dispersive System of Benjamin-Bona-Mahony Type [PDF]

, 2003
2000 Mathematics Subject Classification: 35B35, 35B40, 35Q35, 76B25, 76E30.This paper concerns the orbital stability and instability of solitary waves of the system of coupling equations of Benjamin-Bona-Mahony type.
Hakkaev, Sevdzhan
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HSC Research Report On ARMA(1,q) models with bounded and periodically correlated solutions On ARMA(1,q) models with bounded and periodically correlated solutions

, 2020
In this paper, motivated by [2], we derive necessary and sufficient conditions for bounded and periodically correlated solutions to the system of equations described by ARMA(1,q) model.
Agnieszka Wyłomańska, Hugo Steinhaus Center, ( Wroc, Aleksander Weron, A Weron, A Wy   +5 more
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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
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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
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Existence of extremals for stability of nonlocal Sobolev inequality

Advanced Nonlinear Studies
This paper is devoted to quantitative refinements of the nonlocal Sobolev inequality with explicit determination of stability constants. In the single-bubble regime, we rigorously prove that the optimal stability constantcHLS=infu∈D1,2(RN)\M‖∇u‖L2(RN)2 ...
Zhang Qian
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On the energy decay of a coupled nonlinear suspension bridge problem with nonlinear feedback

Open Mathematics
In this article, we study a mathematical model for a one-dimensional suspension bridge problem with nonlinear damping. The model takes into consideration the vibration of the bridge deck in the vertical plane and main cable from which the bridge deck is ...
Al-Gharabli Mohammad M.
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Convergence of Infintesimal Generators and Stability of Convex Montone Semigroups

, 2023
Blessing J, Kupper M, Nendel M. Convergence of Infintesimal Generators and Stability of Convex Montone Semigroups. Center for Mathematical Economics Working Papers. Vol 680.
Blessing, Jonas, Kupper, Michael, Nendel, Max   +2 more
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Averaging lemmas without time Fourier transform and application to discretized kinetic equations

, 1999
We prove classical averaging lemmas in the L 2 framework with the help of the Fourier transform in variables x and v, but not t. Then, this method is used in order to study discretized problems issued of the numerical analysis of kinetic equations ...
L. Desvillettes, F. Bouchut
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Boundedness and global stability in a predator-prey chemotaxis system with indirect pursuit-evasion interaction and nonlocal kinetics

Advances in Nonlinear Analysis
This article deals with a predator-prey chemotaxis system with indirect pursuit-evasion interaction and nonlocal kinetics ut=Δu−χ∇⋅(u∇w)+uλ1−μ1ur1−1+av+a1∫Ωudx+a2∫Ωvdx,x∈Ω,t>0,vt=Δv+ξ∇⋅(v∇z)+vλ2−μ2vr2−1−bu+b1∫Ωudx+b2∫Ωvdx,x∈Ω,t>0,τwt=Δw−w+v,x∈Ω,t>0,τzt ...
Jiao Zhan, Jadlovská Irena, Li Tongxing
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