WELL-POSEDNESS AND NUMERICAL SOLUTION OF A NONLINEAR VOLTERRA PARTIAL INTEGRO-DIFFERENTIAL EQUATION MODELING A SWELLING POROUS MATERIAL

2014 ◽  
Vol 17 (9) ◽  
pp. 763-784 ◽  
Author(s):  
Keith J. Wojciechowski ◽  
Jinhai Chen ◽  
Lynn Schreyer-Bennethum ◽  
Kristian Sandberg
Keyword(s):  
Differential Equation ◽  
Porous Material ◽  
Numerical Solution ◽  
Equation Modeling ◽  
Well Posedness ◽  
Integro Differential Equation ◽  
Differential Equation Modeling

scholarly journals The reconstruction of an equation of visco-elasticity

2018 ◽  
Vol 5 (1) ◽  
pp. 152-154 ◽  
Author(s):  
Amin Boumenir
Keyword(s):  
Differential Equation ◽  
Diffusion Constant ◽  
Equation Modeling ◽  
Source Terms ◽  
Integro Differential Equation ◽  
Differential Equation Modeling

AbstractWe are concerned with the reconstruction of two coefficients of an integro-differential equation modeling the deformation of materials with memory.We show that we can explicitly reconstruct the memory, the source terms and the diffusion constant from two observations only.

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