Results 81 to 90 of about 313,499 (335)
Pattern formation in a diffusion-ODE model with hysteresis [PDF]
, 2013 Coupling diffusion process of signaling molecules with nonlinear interactions of intracellular processes and cellular growth/transformation leads to a system of reaction-diffusion equations coupled with ordinary differential equations (diffusion-ODE ...
Marciniak-Czochra, Anna +2 more
core
, 2018 Computational costs of numerically solving multidimensional partial differential equations (PDEs) increase significantly when the spatial dimensions of the PDEs are high, due to large number of spatial grid points. For multidimensional reaction-diffusion
Chen, Shanqin +3 more
core +1 more source
Entropy of scalar reaction-diffusion equations [PDF]
Mathematica Bohemica, 2014 We consider scalar reaction-diffusion equations on bounded and extended domains, both with the autonomous and time-periodic nonlinear term. We discuss the meaning and implications of the ergodic Poincaré-Bendixson theorem to dynamics. In particular, we show that in the extended autonomous case, the space-time topological entropy is zero.
openaire +2 more sources
Zein‐Based Adhesives: Sustainable Extraction and Application in Bioadhesive Technologies
Advanced Engineering Materials, EarlyView.Zein is extracted from corn gluten meal using a simple and scalable process with high yield (~90%). The resulting protein is applied in bioadhesives modified with Ca2+ and Fe3+ ions, exhibiting substrate‐dependent adhesion. The findings demonstrate competitive bonding performance and highlight the role of ionic interactions in tuning adhesion ...
Paula Bertolino Sanvezzo +3 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.The thermal diffusivity of MgO‐C refractories is highly sensitive to sample preparation and processing procedures. In this article, the effects of coking sequence, machining conditions, structural inhomogeneity, and graphite coating application on measurements using laser flash apparatus are systematically investigated.
Luyao Pan +4 more
wiley +1 more source
Homogenization of reaction-diffusion equations in fractured porous media
Electronic Journal of Differential Equations, 2015 The article studies the homogenization of reaction-diffusion equations with large reaction terms in a multi-scale porous medium. We assume that the fractures and pores are equidistributed and that the coefficients of the equations are periodic.
Hermann Douanla, Jean Louis Woukeng
doaj
Fujita Exponent for a Nonlinear Degenerate Parabolic Equation with Localized Source
Advances in Mathematical Physics, 2014 This paper is devoted to understand the blow-up properties of reaction-diffusion equations which combine a localized reaction term with nonlinear diffusion. In particular, we study the critical exponent of a p-Laplacian equation with a localized reaction.
Yulan Wang, Xiaojun Song, Chao Ye
doaj +1 more source
Advanced Engineering Materials, EarlyView.It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti +11 more
wiley +1 more source
Reaction-diffusion systems with 1-homogeneous non-linearity
Electronic Journal of Differential Equations, 2002 We describe the dynamics of a system of two reaction-diffusion equations with 1-homogeneous non-linearity. We show that either an order-preserving property holds and can be used in order to determine the limiting behaviour in some (invariant) sets or the
Matthias Bueger
doaj
Partial Differential Equations in Applied MathematicsA theoretical study of the new autocatalytic mechanisms (EC″) for irreversible homogeneous reaction on diffusion layer for steady-state conditions is provided.
G. Yokeswari +3 more
doaj +1 more source