Results 101 to 110 of about 4,210,778 (298)
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.
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Fractional chemotaxis diffusion equations [PDF]
, 2010 We introduce mesoscopic and macroscopic model equations of chemotaxis with anomalous subdiffusion for modeling chemically directed transport of biological organisms in changing chemical environments with diffusion hindered by traps or macromolecular ...
Henry, B. I., Langlands, T. A. M.
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Adaptive Foam 3D Printing of Ultralight and Multifunctional Materials
Advanced Engineering Materials, EarlyView.Adaptive foam 3D printing, enabled by expandable microspheres, imparts cellular structures to thermoplastic and thermosetting polymers, manufactured through a variety of processes including fused filament fabrication, direct ink writing, digital light processing, and inkjet printing.
Nariman Rajabifar, Amir Ameli
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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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Advanced Engineering Materials, EarlyView.CT‐based finite element simulations combined with in situ X‐ray computed tomography are used to analyze insert pull‐out in nickel‐coated polymer foams. Despite variations in material parameters, deformation consistently concentrates within a narrow annular region around the insert.
Yannik Bautz +4 more
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Ratio MathematicaIn this paper, to develop monotone method for non-linear system of Riemann-Liouville (R-L) reaction-diffusion equations with initial and boundary conditions.
Pandurang D. Kundgar, Jagdish A. Nanware
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Application of operator splitting to solve reaction-diffusion equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Approximate solutions of systems of semilinear ordinary differential equations obtained by different splitting methods are investigated. The local error in the numerical solution of such semilinear problems is evaluated.
T. Ladics
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On the nonnegatibity of solutions of reaction diffusion equations
Rocky Mountain Journal of Mathematics, 1987 Consider the system of reaction diffusion equations \[ \partial u/\partial t=A\Delta u+f(u,\nabla_ xu,x,t)\quad (*) \] where A is a \(p\times p\) matrix, u(x,t) is a p-dimensional vector with components \(u^{(j)}(x,t)\), \(j=1,...,p\) and where \((x,t)\in {\mathbb{R}}^ n\times (0,\infty)\).
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Advanced Engineering Materials, EarlyView.Gallium microalloying redirects interfacial reactions in low‐temperature Bi–Sn solders from Cu–Sn toward Cu–Ga intermetallic formation. The resulting Cu–Ga layer suppresses intermetallic growth during thermal aging, alters fracture pathways, and improves interfacial stability.
Iva Králová +6 more
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Asymptotic structure of time-dependent global attractors for the nonclassical diffusion equations
四川大学学报. 自然科学版, 2016 Nonclassical reaction-diffusion equations mainly stem from non-Newtonian flows, solid mechanics, and heat conduction theories. The longtime behavior and asymptotic structure of solutions to these equations are important. We study the asymptotic structure
WANG Xiao-Ping, MA Qiao-Zhen
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