Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Finding discontinuities in the coefficients of the linear nonstationary transport equations. / Balakina, E. Yu.
в: Computational Mathematics and Mathematical Physics, Том 57, № 10, 01.10.2017, стр. 1650-1665.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
}
TY - JOUR
T1 - Finding discontinuities in the coefficients of the linear nonstationary transport equations
AU - Balakina, E. Yu
PY - 2017/10/1
Y1 - 2017/10/1
N2 - An X-ray tomography problem that is an inverse problem for the transport differential equation is set up and investigated. The absorption and single scattering of particles are taken into account. The transport equation is nonstationary (its coefficients and the unknown function depend on time), involves multiple energy levels, and its coefficients can undergo jump discontinuities with respect to the spatial variable (in other words, the medium in which the process proceeds is inhomogeneous). The sought object is the set on which the coefficients of the equation suffer a discontinuity, which corresponds to the search for the boundaries between the different substances composing the sensed medium.
AB - An X-ray tomography problem that is an inverse problem for the transport differential equation is set up and investigated. The absorption and single scattering of particles are taken into account. The transport equation is nonstationary (its coefficients and the unknown function depend on time), involves multiple energy levels, and its coefficients can undergo jump discontinuities with respect to the spatial variable (in other words, the medium in which the process proceeds is inhomogeneous). The sought object is the set on which the coefficients of the equation suffer a discontinuity, which corresponds to the search for the boundaries between the different substances composing the sensed medium.
KW - discontinuous coefficients
KW - inverse problems
KW - tomography
KW - transport equation
KW - unknown boundary
UR - http://www.scopus.com/inward/record.url?scp=85032750665&partnerID=8YFLogxK
U2 - 10.1134/S0965542517100049
DO - 10.1134/S0965542517100049
M3 - Article
AN - SCOPUS:85032750665
VL - 57
SP - 1650
EP - 1665
JO - Computational Mathematics and Mathematical Physics
JF - Computational Mathematics and Mathematical Physics
SN - 0965-5425
IS - 10
ER -
ID: 9743424