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Showing 1 to 20 of 38 for “"kinetic equations"”.
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Stationary solutions of abstract kinetic equations
The abstract kinetic equation Tψ’=-Aψ is studied with partial range boundary conditions in two geometries, in the half space x≥0 and on a finite interval [0, r]. T and A are abstract self-adjoint operators in a complex Hilbert space. In the case of the half space problem it is assumed that T is a …
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Mathematical study of long-range interactions in kinetic equations
… derived by Lev Landau. A solution of these equations encodes the density of gas or charged particles, respectively, which at a given time are located at a certain point in space and travel at a certain velocity. Both equations are written with a transport operator on the left hand side, …
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On the Kinetic Equations for a Dilute, Short Range Gas
Made available in DSpace on 2014-12-09T18:12:27Z (GMT). No. of bitstreams: 1 7013312.pdf: 3526348 bytes, checksum: 8aaf20cf6e6c70d863ab8fce42f62f8c (MD5) Previous issue date: 1969
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Contributions to the Derivation and Well-posedness Theory of Kinetic Equations
… is concerned with certain partial differential equations, of kinetic type, that are involved in the modelling of many-particle systems. The Vlasov-Poisson system is a model for a dilute plasma in an electrostatic regime. The classical version describes the electrons in the plasma. The first part …
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Particles methods for kinetic equations in plasma physics, collective behaviors and optimization.
… numerical methods for the simulation of kinetic dynamics plays an important role. Besides deterministic methods, such as Lagrangian schemes, Galerkin schemes and finite volume schemes, an important attention is given to particles schemes. These methods are able to produce a good …
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Keller-Segel-Type Models and Kinetic Equations for Interacting Particles: Long-Time Asymptotic Analysis
… on long-time asymptotics of macroscopic and kinetic models respectively, while in the third part we connect these regimes using different scaling approaches. (1) Keller–Segel-type aggregation-diffusion equations: We study a Keller–Segel-type model with non-linear power-law diffusion and …
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Boundary value and Wiener-Hopf problems for abstract kinetic equations with nonregular collision operators
We study the linear abstract kinetic equation T𝜑(x)′=-A𝜑(x) in the half space {x≥0} with partial range boundary conditions. The function <i>ψ</i> takes values in a Hilbert space H, T is a self adjoint injective operator on H and A is an accretive operator. The first step in the analysis of this …
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Part I: The kinetics of thiophene hydrogenolysis. Part II: Effectiveness factors for porous catalysts: Langmuir-Hinshelwood kinetic equations.
Thesis: Sc. D., Massachusetts Institute of Technology, Department of Chemical Engineering, 1965
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Differential and Integral Invariance of the Relativistic Vlasov-Boltzmann Equation and the Associated Invariant Variational Problem
Relativistic Vlasov-Boltzmann kinetic equations are constructed from quantum field theory for scalar bosons and Dirac fermion fields. Lie's principle of differential invariance is extended to the case of non-linear integro-differential equations for both scalar and matrix distribution functions, …
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On the derivation of non-local diffusion equations in confined spaces
… thesis is the derivation of non-local diffusion equations from kinetic models with heavy-tailed equilibrium in velocity. We are particularly interested in confining the kinetic equations and developing methods that allow us, from the confined kinetic models, to derive confined versions of …
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CONTINUUM DISLOCATION DYNAMICS MODELING OF THE DEFORMATION OF FCC SINGLE CRYSTALS
… system, whose evolution is governed by curl-type kinetic equations describing the transport of dislocation lines. These kinetic equations are closed by specifying the velocity field in terms of a mobility law in which the driving force is obtained by solving the Cauchy¡¯s equilibrium equation for …
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Char Reaction Kinetics in a Transport Gasifier
… model for this process due to the lack of kinetic/equilibrium data of the coal char re-bum reaction and its effects on the gasification process.</p> <p>Char reaction data on carbon monoxide (CO) and carbon dioxide (CO2) production as well as kinetic equations were developed as a function of …
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Modeling the biodegradation kinetics of dissolved organic contaminants in a heterogeneous two-dimensional aquifer
… of incorporating various types of biodegradation kinetic sub-models, and to use the model to examine the interaction between transport and biodegradation processes in a two-dimensional heterogeneous aquifer. Operator splitting, which involves splitting the transport and kinetic equations and …
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Metabolic Control Analysis of Carbon Pathways
… in this dissertation incorporates complex kinetic equations and applies the theory of metabolic control analysis (MCA) to the system at steady state. The model allows to simulate not only the not fluxes of carbon through UDP-glucose during cellular growth but also calculates the control and …
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Contributions in fractional diffusive limit and wave turbulence in kinetic theory
… Firstly, we study anomalous transport from kinetic models. Secondly, we consider the equations coming from weak wave turbulence theory and we study them via mean-field limits of finite stochastic particle systems. $\textbf{Anomalous transport from kinetic models.}$ The goal is to understand …
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Cure Kinetics and Processing Parameters of Neat and Reinforced High Performance Epoxy Resins: Evaluation of Techniques
Kinetic equation parameters for the curing reaction of a commercial glass fiber reinforced high performance epoxy prepreg composed of the tetrafunctional epoxy tetraglycidyl 4,4-diaminodiphenyl methane (TGDDM), the tetrafunctional amine curing agent 4,4-diaminodiphenylsulfone (DDS) and an ionic …
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ΚΙΝΗΤΙΚΗ ΤΗΣ ΕΚΡΟΦΗΣΕΩΣ ΦΩΣΦΟΡΟΥ ΑΠΟ ΤΕΣΣΕΡΑ ΕΛΛΗΝΙΚΑ ΕΔΑΦΗ. Η ΔΙΑΧΥΣΗ ΣΑΝ ΚΑΘΟΡΙΣΤΙΚΟ ΣΤΑΔΙΟ ΤΗΣ ΤΑΧΥΤΗΤΟΣ
THE KINETICS OF PHOSPHATE DESORPTION FROM THE SOLID PHASE OF THE SOIL IS OF CONSIDERABLE IMPORTANCE FROM BOTH THE AGRONOMIC AND ENVIRONMENTAL POINTS OF VIEW BUT PAPERS PUBLISHED ON THIS SUBJECT ARE BY FAR LESS NUMEROUS THAN THOSE RELATING TO THE THERMODYNAMICS OF THE PROCESS. THE PRESENT …
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Adsorbents as mitigators in the Transport System of Nitrogen in Soil
… this thesis by employing Freundlich and Langmuir equations, pseudo-first and second-order kinetic equations, and thermodynamic analysis, both of which are focused on various studies performed in previous research work. Excess ammonium NH4+treatment and neutralization of various hotspots such as …
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Study of cell-cell communication using 3D living cell microarrays
… through the hydrogel, and simple mass-action kinetic equations to simulate the resulting protein expression over time.
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Continuum models for intergranular films in silicon nitride and comparison to atomistic simulations
… non-bulk equilibrium compositions is developed. Kinetic equations are derived to solve for the equilibrium fields. While the simulations do not reach equilibrium, some trends can be observed. Locally charged domains are kinetically stable near the film. Non-uniform calcium distributions in the …
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