Results 91 to 100 of about 110,349 (310)
Velocity enhancement of reaction-diffusion fronts by a line of fast diffusion
, 2017 International audienceWe study the velocity of travelling waves of a reaction-diffusion system coupling a standard reaction-diffusion equation in a strip with a one-dimensional diffusion equation on a line.
Dietrich, Laurent
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
Karl Popper and the Mechanisms of Hydrogen Embrittlement
Advanced Engineering Materials, EarlyView.Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
wiley +1 more source
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
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
Multimodal Data‐Driven Microstructure Characterization
Advanced Engineering Materials, EarlyView.A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang +4 more
wiley +1 more source
Transition fronts for periodic bistable reaction-diffusion equations
, 2015 International audienceThis paper is concerned with the existence and qualitative properties of transition fronts for spatially periodic reaction-diffusion equations with bistable nonlinearities.
Ding, Weiwei +2 more
core
On the solutions of fractional reaction-diffusion equations
Le Matematiche, 2013 In this paper, we obtain the solution of a fractional reaction-diffusion equation associated with the generalized Riemann-Liouville fractional derivative as the time derivative and Riesz-Feller fractional derivative as the space-derivative.
Jagdev Singh +2 more
doaj
Analysis of Cauchy reaction-diffusion equations involving Atangana-Baleanu fractional operator
Partial Differential Equations in Applied MathematicsThis study investigates the Cauchy reaction-diffusion equation (CRDE) with the Atangana-Baleanu differential operator. The existence and uniqueness of solutions to fractional starting value issues are begun using the fixed-point theorem and contraction ...
Hassan Kamil Jassim, Ali Latif Arif
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Tailoring Functional Properties of Ti–Ni–Cu Shape Memory Alloy Thin Films for MEMS Actuators
Advanced Engineering Materials, EarlyView.A comprehensive study of critical parameters required to develop well‐performing Ti–Ni–Cu thin film shape memory alloy microactuators is provided. Materials science and device integration aspects are integrated by addressing structural and physical relationships using complementary characterization techniques as well as a practical fabrication solution
Elaheh Akbarnejad +6 more
wiley +1 more source