Results 51 to 60 of about 211 (111)

Pullback attractors for fractional lattice systems with delays in weighted space

Open Mathematics
This article deals with the asymptotic behavior of fractional lattice systems with time-varying delays in weighted space. First, we establish some sufficient conditions for the existence and uniqueness of solutions.
Li Xintao, Wang Shengwen
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Near Field Asymptotic Behavior for the Porous Medium Equation on the Half-Line

Advanced Nonlinear Studies, 2017
Kamin and Vázquez [11] proved in 1991 that solutions to the Cauchy–Dirichlet problem for the porous medium equation ut=(um)x⁢x${u_{t}=(u^{m})_{xx}}$, m>1${m>1}$, on the half-line with zero boundary data and nonnegative compactly supported integrable ...
Cortázar Carmen, Quirós Fernando, Wolanski Noemi   +2 more
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Well-posedness of Cauchy problem of fractional drift diffusion system in non-critical spaces with power-law nonlinearity

Advances in Nonlinear Analysis
In this article, we consider the global and local well-posedness of the mild solutions to the Cauchy problem of fractional drift diffusion system with higher-order nonlinearity. The main difficulty comes from the higher-order nonlinearity. Instead of the
Gu Caihong, Tang Yanbin
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Quantization of energy and weakly turbulent profiles of solutions to some damped second-order evolution equations

Advances in Nonlinear Analysis, 2017
We consider a second-order equation with a linear “elastic” part and a nonlinear damping term depending on a power of the norm of the velocity. We investigate the asymptotic behavior of solutions, after rescaling them suitably in order to take into ...
Ghisi Marina, Gobbino Massimo, Haraux Alain   +2 more
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Construction of type I blowup solutions for a higher order semilinear parabolic equation

Advances in Nonlinear Analysis, 2019
We consider the higher-order semilinear parabolic ...
Ghoul Tej-Eddine, Nguyen Van Tien, Zaag Hatem   +2 more
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Asymptotic study of a nonlinear elliptic boundary Steklov problem on a nanostructure

Demonstratio Mathematica
The present study is related to the existence and the asymptotic behavior of the solution of a nonlinear elliptic Steklov problem imposed on a nanostructure depending on the thickness parameter ε\varepsilon (nano-scale), distributed on the boundary of ...
Maadan Hicham, Messaho Jamal
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Dynamics and profiles of a degenerated reaction-diffusion host-pathogen model with apparent and inapparent infection period. [PDF]

Commun Nonlinear Sci Numer Simul, 2023
Wang J, Lu H.
europepmc   +1 more source

Limiting dynamics for stochastic complex Ginzburg-Landau systems with time-varying delays on unbounded thin domains

Demonstratio Mathematica
This study deals with the limiting dynamics for stochastic complex Ginzburg-Landau systems with time-varying delays and multiplicative noise on unbounded thin domains. We first prove the existence and uniqueness of pullback tempered random attractors for
Li Xintao, Pan Shiyao
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Existence and stability of impulsive coupled system of fractional integrodifferential equations

Demonstratio Mathematica, 2019
In this manuscript, we deal with a class and coupled system of implicit fractional differential equations, having some initial and impulsive conditions. Existence and uniqueness results are obtained by means of Banach’s contraction mapping principle and ...
Zada Akbar, Waheed Hira, Alzabut Jehad, Wang Xiaoming   +3 more
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Periodic measures of fractional stochastic discrete wave equations with nonlinear noise

Demonstratio Mathematica
The primary focus of this work lies in the exploration of the limiting dynamics governing fractional stochastic discrete wave equations with nonlinear noise.
Li Xintao, She Lianbing, Yao Jingjing
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