Solution of Differential Equations in Mechanics of Granular Materials

Solution of Differential Equations in Mechanics of Granular Materials

Mathematical Methods and Applications

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Analytical solutions of the nonlinear PDEs are presented to illustrate the wave propagation in granular materials. Theoretical investigations carried out for different values of the dispersion and microstructure parameters seem to show that the solutions of the models exhibit interesting features. Also, theoretical study of the two phase system of flow is presented to describe the fluid flow through porous granular matrix, and the various solutions of the magma equation are discussed to illustrate the evolution of porosity waves in the earth s interior. In addition, we consider the fluidizatio...