The initial-boundary value problem of thermodiffusion in solid body with mixed boundary condition for displacement and stresses
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The Faedo-Galerkin method in thermal stresses theory
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Local existence of the solution to the initial-boundary value problem in nonlinear thermodiffusion in micropolar medium.
Blow-up of the solution to the initial-value problem in nonlinear three-dimensional hyperelasticity
We consider the initial value problem for the nonlinear partial differential equations describing the motion of an inhomogeneous and anisotropic hyperelastic medium. We assume that the stored energy function of the hyperelastic material is a function of the point x and the nonlinear Green-St. Venant strain tensor . Moreover, we assume that the stored energy function is with respect to x and . In our description we assume that Piola-Kirchhoff’s stress tensor depends on the tensor . This means...
Initial-boundary value problem for some coupled nonlinear parabolic system of partial differential equations appearing in thermodiffusion in solid body.
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