Results 61 to 70 of about 65,920 (166)

The Global Existence and Boundedness of Solutions to a Chemotaxis–Haptotaxis Model with Nonlinear Diffusion and Signal Production

Mathematics
In this paper, we investigate the following chemotaxis–haptotaxis system (1) with nonlinear diffusion and signal production under homogenous Neumann boundary conditions in a bounded domain with smooth boundary.
Beibei Ai, Zhe Jia
doaj   +1 more source

Edge Contamination, Bulk Disorder, Flux Front Roughening, and Multiscaling in Type II Superconducting Thin Films

Condensed Matter, 2017
We have investigated the effect of different types of disorder on the propagation, roughness, and scaling properties of magnetic flux fronts in a type II superconductor.
Michel Geahel, Isabelle Jouanny, Dominique Gorse-Pomonti, Marie Poirier-Quinot, Javier Briatico, Cornelis Jacominus van der Beek   +5 more
doaj   +1 more source

A novel finite element method with adaptive mesh refinement for nonlinear fractional order differential equations [PDF]

Surveys in Mathematics and its Applications
Nonlinear fractional order differential equations (FODEs) model complex phenomena like anomalous diffusion and nonlinear advection, posing computational challenges due to fractional derivatives and nonlinearities.
Bhavyata Patel, Gargi Trivedi , Trupti Shah   +2 more
doaj  

Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework. [PDF]

Proc Math Phys Eng Sci, 2022
Li Y, Buenzli PR, Simpson MJ.
europepmc   +1 more source

Rényi Entropies and Nonlinear Diffusion Equations [PDF]

Acta Applicandae Mathematicae, 2014
Since their introduction in the early sixties, the R nyi entropies have been used in many contexts, ranging from information theory to astrophysics, turbulence phenomena and others. In this note, we enlighten the main connections between R nyi entropies and nonlinear diffusion equations.
openaire   +3 more sources

A Numerical Approach for the Simultaneous Identification of a Source Term and a Robin Boundary Coefficient in Time-Fractional Reaction–Diffusion Equations

Mathematics
In the present study, we develop numerical approaches for the simultaneous determination of a time-dependent right-hand side and a Robin boundary coefficient in linear and quasilinear Caputo time-fractional reaction–diffusion problems based on boundary ...
Miglena N. Koleva
doaj   +1 more source

An Algorithm to Develop Lumped Model for Gunn-Diode Dynamics

Active and Passive Electronic Components, 1998
A nonlinear lumped model can be developed for Gunn-Diodes to describe the diffusion effects as the domain travels from cathode to anode of a Gunn-Diode. The model describes the domain extinction and nucleation phenomena.
Umesh Kumar
doaj   +1 more source

Travelling wave solutions in a negative nonlinear diffusion-reaction model. [PDF]

J Math Biol, 2020
Li Y, Heijster PV, Marangell R, Simpson MJ.   +3 more
europepmc   +1 more source

Networks for Nonlinear Diffusion Problems in Imaging. [PDF]

J Math Imaging Vis, 2020
Arridge S, Hauptmann A.
europepmc   +1 more source

Global boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity

Advances in Nonlinear Analysis
In this study, we investigate the two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity: ut=∇⋅(uθ−1∇u)−χ∇⋅uv∇v,x∈Ω,t>0,vt=Δv−v+u+g(x,t),x∈Ω,t>0,(∗)\left\{\begin{array}{ll}{u}_{t}=\nabla \cdot \left({u}^{\theta -1}\nabla u ...
Ren Guoqiang, Zhou Xing
doaj   +1 more source