Results 81 to 90 of about 667 (175)

Reaction-Diffusion Equations with Transport Noise and Critical Superlinear Diffusion: Global Well-Posedness of Weakly Dissipative Systems

SIAM Journal on Mathematical Analysis
In this paper, we investigate the global well-posedness of reaction-diffusion systems with transport noise on the $d$-dimensional torus. We show new global well-posedness results for a large class of scalar equations (e.g. the Allen-Cahn equation), and dissipative systems (e.g. equations in coagulation dynamics).
Agresti, Antonio, Veraar, Mark
openaire   +2 more sources

Overlapping Schwarz waveform relaxation for advection reaction diffusion problems

, 2009
We analyze overlapping Schwarz waveform relaxation for linear advection reaction diffusion equations. We prove linear convergence of the algorithm on unbounded time intervals and superlinear convergence on bounded time intervals.
Daoud, Daoud S., Gander, Martin Jakob
core   +1 more source

Analysis of classes of superlinear semipositone problems with nonlinear boundary conditions [PDF]

, 2017
We study positive radial solutions for classes of steady state reaction diffusion problems on the exterior of a ball with both Dirichlet and nonlinear boundary conditions.
Morris, Quinn A., NC DOCKS at The University of North Carolina at Greensboro   +1 more
core  

Waveform relaxation for reaction–diffusion equations

, 2011
We report a new waveform relaxation (WR) algorithm for general semi-linear reaction–diffusion equations. The superlinear rate of convergence of the new WR algorithm is proved, and we also show the advantages of the new approach superior to the classical ...
Jiang, Yao-Lin, Jun Liu, Liu, Jun, Yao-Lin Jiang   +3 more
core   +1 more source

Asymmetric Robin boundary-value problems with p-Laplacian and indefinite potential

Electronic Journal of Differential Equations, 2018
Four nontrivial smooth solutions to a Robin boundary-value problem with p-Laplacian, indefinite potential, and asymmetric nonlinearity super-linear at infinity are obtained, all with sign information.
Salvatore A. Marano, Nikolaos S. Papageorgiou   +1 more
doaj  

Single-Molecule Spectroscopy Reveals the Plasmon-Assisted Nanozyme Catalysis on AuNR@TiO₂. [PDF]

Chem Biomed Imaging, 2023
Zuo L, King H, Hossain MA, Farhana F, Kist MM, Stratton RL, Chen J, Shen H.   +7 more
europepmc   +1 more source

The Plausibility of Sampling as an Algorithmic Theory of Sentence Processing. [PDF]

Open Mind (Camb), 2023
Hoover JL, Sonderegger M, Piantadosi ST, O'Donnell TJ.   +3 more
europepmc   +1 more source

Nonlinear nonhomogeneous Robin problems with almost critical and partially concave reaction

, 2020
We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator, with reaction which exhibits the competition of two Carathéodory terms. One is parametric, ▫$(p-1)$▫-sublinear with a partially concave nonlinearity near zero.
Papageorgiou, Nikolaos S., Repovš, Dušan, Vetro, Calogero   +2 more
core   +1 more source

Nonexistence of positive radial solutions for semipositone $ϕ$-Laplacian problems with superlinear reaction term

The aim of this paper is to prove the nonexistence of positive radial solutions to the problem $-Δ_ϕu=λf(u)$, $x\in B_1(0)$, $u(x)=0$ on $|x|=1$, for $λ>0$ sufficiently large. Here, $ϕ$ is a continuous function, $Δ_ϕ$ denotes the $ϕ$-Laplacian operator which is defined by $Δ_ϕ(u):=div (ϕ(|\nabla u|) \nabla u)$, and $B_1(0)$ is the unit ball in ...
Herrón, Sigifredo, Lopera, Emer, Sánchez, Diana   +2 more
openaire   +2 more sources

On the local well-posedness of randomly forced reaction-diffusion equations with $$\varvec{L^2}$$ initial data and a superlinear reaction term

Probability Theory and Related Fields
Abstract We consider a parabolic stochastic partial differential equation (SPDE) on [0, 1] that is forced with multiplicative space-time white noise with a bounded and Lipschitz diffusion coefficient and a drift coefficient that is locally Lipschitz and satisfies an
Mohammud Foondun, Davar Khoshnevisan, Eulalia Nualart   +2 more
openaire   +1 more source