scholarly journals On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids

2007 ◽  
Vol 18 (02) ◽  
pp. 183-200 ◽  
Author(s):  
M. Bildhauer ◽  
M. Fuchs ◽  
X. Zhong
Keyword(s):  
Differential Equations ◽  
Steady Flow ◽  
Strong Solutions ◽  
Newtonian Fluids ◽  
Generalized Newtonian Fluids

scholarly journals Non-local Solvable Birth–Death Processes

2021 ◽  
Author(s):  
Giacomo Ascione ◽  
Nikolai Leonenko ◽  
Enrica Pirozzi
Keyword(s):  
Differential Equations ◽  
Orthogonal Polynomials ◽  
Limit Distribution ◽  
Spectral Decomposition ◽  
Strong Solutions ◽  
Stochastic Representation ◽  
Discrete Approximations ◽  
Local Difference ◽  
Non Local ◽  
Birth Death

AbstractIn this paper, we study strong solutions of some non-local difference–differential equations linked to a class of birth–death processes arising as discrete approximations of Pearson diffusions by means of a spectral decomposition in terms of orthogonal polynomials and eigenfunctions of some non-local derivatives. Moreover, we give a stochastic representation of such solutions in terms of time-changed birth–death processes and study their invariant and their limit distribution. Finally, we describe the correlation structure of the aforementioned time-changed birth–death processes.

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