Results 21 to 30 of about 6,511,507 (299)
A semiclassical approach to the Dirac equation [PDF]
, 1998 We derive a semiclassical time evolution kernel and a trace formula for the Dirac equation. The classical trajectories that enter the expressions are determined by the dynamics of relativistic point particles.
Aharonov +47 more
core +5 more sources
Frontiers in Applied Mathematics and Statistics, 2018 This paper considers the propagation of neurological shock-waves in the human head due to improvised explosive devices (IEDs). The models adopted here use various mathematical techniques, including adoption and application of the two most important ...
Stephen W. Mason
doaj +1 more source
Ultrasound Modulated Bioluminescence Tomography and Controllability of the Radiative Transport Equation [PDF]
SIAM Journal on Mathematical Analysis, 2015 We propose a method to reconstruct the density of an optical source in a highly scattering medium from ultrasound-modulated optical measurements. Our approach is based on the solution to a hybrid inverse source problem for the radiative transport ...
G. Bal, Francis J. Chung, J. Schotland
semanticscholar +1 more source
Solute Transport Control at Channel Junctions Using Adjoint Sensitivity
Mathematics, 2021 Water quality control and the control of contaminant spill in water in particular are becoming a primary need today. Gradient descent sensitivity methods based on the adjoint formulation have proved to be encouraging techniques in this context for river ...
Geovanny Gordillo +2 more
doaj +1 more source
A kinetic eikonal equation [PDF]
, 2012 We analyse the linear kinetic transport equation with a BGK relaxation operator. We study the large scale hyperbolic limit $(t,x)\to (t/\eps,x/\eps)$. We derive a new type of limiting Hamilton-Jacobi equation, which is analogous to the classical eikonal ...
Bouin, Emeric, Calvez, Vincent
core +6 more sources
Ab initio electronic transport model with explicit solution to the linearized Boltzmann transport equation [PDF]
, 2015 Author(s): Faghaninia, A; Ager, JW; Lo, CS | Abstract: © 2015 American Physical Society. Accurate models of carrier transport are essential for describing the electronic properties of semiconductor materials.
Alireza Faghaninia, J. Ager, C. Lo
semanticscholar +1 more source
Enskog-Landau kinetic equation for multicomponent mixture. Analytical calculation of transport coefficients [PDF]
, 2000 The Enskog-Landau kinetic equation is considered to describe non-equilibrium processes of a mixture of charged hard spheres. This equation has been obtained in our previous papers by means of the non-equilibrium statistical operator method.
Humenyuk, Y. A. +2 more
core +2 more sources
International Journal of Innovative Technology and Exploring Engineering, 2019 With an increasing number of privately own vehicles in Malaysia, the popularity of public transports is increasingly challenged by ride-hailing services such as Grab, MyCar, JomRides and MULA.
Y. Mah +3 more
semanticscholar +1 more source
A simple Boltzmann transport equation for ballistic to diffusive transient heat transport [PDF]
, 2015 Developing simplified, but accurate, theoretical approaches to treat heat transport on all length and time scales is needed to further enable scientific insight and technology innovation. Using a simplified form of the Boltzmann transport equation (BTE),
J. Maassen, M. Lundstrom
semanticscholar +1 more source
Rough linear transport equation with an irregular drift [PDF]
, 2015 We study the linear transport equation $$\begin{aligned} \frac{\partial }{\partial t} u ( t,x ) +b ( t,x ) \cdot \nabla u ( t,x ) + \nabla u ( t,x ) \cdot \frac{\partial }{\partial t} X ( t ) =0, \quad u ( 0,x ) =u_{0} (x) \end{aligned}$$∂∂tu(t,x)+b(t,x)·
R. Catellier
semanticscholar +1 more source