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Multikingdom diffusion barrier control
Science, 2021Plant microbiomes modulate selective nutrient uptake by regulating diffusion ...
Wolfgang, Busch, Joanne, Chory
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Applied Mathematics and Optimization, 2002
The paper considers time optimal or \(L_1\)-norm (with respect to the state) optimal control problems for a linear parabolic equation with right-hand side as a measure valued control which drives the initial state to a prescribed target state. Necessary and sufficient conditions for optimality in the form of the maximum principle are derived.
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The paper considers time optimal or \(L_1\)-norm (with respect to the state) optimal control problems for a linear parabolic equation with right-hand side as a measure valued control which drives the initial state to a prescribed target state. Necessary and sufficient conditions for optimality in the form of the maximum principle are derived.
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Multiperson Controlled Diffusions
SIAM Journal on Control, 1973A multiperson controlled diffusion process is formulated as both a zero sum, two-person game and a nonzero sum, N-person game. Necessary and sufficient conditions are provided for a control to be a solution of these games. The value of a game, if it exists, is shown to be the solution of a second order, nonlinear differential equation.
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On a Fractional Diffusion Equation with Moving Control
SIAM Journal on Control and Optimization, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sorin Micu, Constantin Nita
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The Diffusion-Control Limit Revisited
Physical Review Letters, 2002We consider nonequilibrium adsorption to a freshly formed surface. Owing to the initial lack of equilibrium, the common diffusion-control assumption is inconsistent at small times. A uniform small-time asymptotic approximation is constructed for a Langmuir-type system in terms of the small parameter epsilon representing the ratio of the respective ...
E, Yariv, I, Frankel
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Diffusion-Controlled Macromolecular Interactions
Annual Review of Biophysics and Biophysical Chemistry, 19853.
O G, Berg, P H, von Hippel
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Journal of Controlled Release, 1993
In this paper I first briefly look at diffusion in several controlled release devices. I have found that these exploit complicated diffusional mechanisms. These cannot be understood using the conventional description of diffusion. So, a general theory of multicomponent diffusion which can describe them is considered.
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In this paper I first briefly look at diffusion in several controlled release devices. I have found that these exploit complicated diffusional mechanisms. These cannot be understood using the conventional description of diffusion. So, a general theory of multicomponent diffusion which can describe them is considered.
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Diffusion controlled copolymerization kinetics
Macromolecular Theory and Simulations, 1993AbstractThe Smoluchowski equation is used to derive equations for predicting the values of diffusion controlled propagation and termination rate coefficients in copolymerization. None of the resulting expressions are any more complicated than the analogous homopolymerization results.
Maxwell, I.A., Russell, G.T.
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