Results 51 to 60 of about 1,137 (102)

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

Entropy functions for symmetric systems of conservation laws [PDF]

It is shown that symmetric systems of conservation laws are equipped with a one-parameter family of entropy functions.
Tadmor, E.
core   +1 more source

Global existence results for nonlinear Schrodinger equations with quadratic potentials [PDF]

, 2004
We prove that no finite time blow up can occur for nonlinear Schroedinger equations with quadratic potentials, provided that the potential has a sufficiently strong repulsive component.
Umr Cnrs, Universite ́ Bordeaux
core   +3 more sources

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
doaj   +1 more source

A memory-type thermoelastic laminated beam with structural damping and microtemperature effects: Well-posedness and general decay

Demonstratio Mathematica
In previous work, Fayssal considered a thermoelastic laminated beam with structural damping, where the heat conduction is given by the classical Fourier’s law and acting on both the rotation angle and the transverse displacements established an ...
Derguine Mustafa, Yazid Fares, Boulaaras Salah Mahmoud   +2 more
doaj   +1 more source

Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population. [PDF]

Heliyon, 2023
Akter S, Islam MS, Hossain T.
europepmc   +1 more source

Stability and attractivity for a class of dissipative phenomena

, 2001
We consider initial-boundary-value problems for a class of nonlinear third order equations having non-autonomous forcing terms and get new asymptotic stability results by means of the Liapunov second method.
D'Anna, Armando, Fiore, Gaetano
core  

A Note on the Stability and Instability of Travelling Wave of Korteweg-de Vries Type: The Periodic Case

Revista de Ciencias, 2010
In this paper we adapt the work of M. Grillakis, J. Shatah, and W. Strauss, or J. Bona, P. Souganidis and W. Strauss to the periodic case in spaces having the mean zero property in order to establish the orbital stability/instability of periodic ...
José R Quintero
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Orbital stability of the trains of peaked solitary waves for the modified Camassa-Holm-Novikov equation

Advances in Nonlinear Analysis
Consideration herein is the stability issue of peaked solitary wave solution for the modified Camassa-Holm-Novikov equation, which is derived from the shallow water theory.
Luo Ting
doaj   +1 more source

Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

Open Mathematics
In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela, Ciplea Sorina Anamaria, Lungu Nicolaie   +2 more
doaj   +1 more source