Results 91 to 100 of about 3,933 (187)

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
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

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
doaj   +1 more source

Intermittency on catalysts

, 2007
The present paper provides an overview of results obtained in four recent papers by the authors. These papers address the problem of intermittency for the Parabolic Anderson Model in a \emph{time-dependent random medium}, describing the evolution of a ...
Gaertner, J., Hollander, F. den, Maillard, G.   +2 more
core   +2 more sources

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
doaj   +1 more source

Existence and nonexistence results for a class of pseudo-parabolic equations with combined logarithmic nonlinearities

Advanced Nonlinear Studies
In this paper, we study the existence and nonexistence results for a class of pseudo-parabolic equations with combined logarithmic nonlinearities γ| u|p-2 u log   |u| + u log  |u|, where γ > 0 and p > 2 satisfy certain conditions.
Zhang Wei, Zhang Jialing
doaj   +1 more source

Asymptotic behavior for non-autonomous stochastic plate equation on unbounded domains

Open Mathematics, 2019
We study the asymptotic behavior of solutions to the non-autonomous stochastic plate equation driven by additive noise defined on unbounded domains.
Yao Xiaobin, Liu Xilan
doaj   +1 more source

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

Quasilinear elliptic systems in divergence form associated to general nonlinearities

Advances in Nonlinear Analysis, 2018
The paper is concerned with a priori estimates of positive solutions of quasilinear elliptic systems of equations or inequalities in an open set of Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} associated to general continuous nonlinearities satisfying a local ...
D’Ambrosio Lorenzo, Mitidieri Enzo
doaj   +1 more source

Small data global regularity for half-wave maps in n = 4 dimensions. [PDF]

Commun Partial Differ Equ, 2021
Kiesenhofer A, Krieger J.
europepmc   +1 more source