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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 $e_{j k}$ . Moreover, we assume that the stored energy function is $C^{\infty}$ with respect to x and $e_{j k}$ . In our description we assume that Piola-Kirchhoff’s stress tensor $p_{j k}$ depends on the tensor $e_{j k}$ . This means...

Blow-up Solutions of Quasilinear Hyperbolic Equations With Critical Sobolev Exponent

S. Ibrahim, A. Lyaghfouri (2012)

Mathematical Modelling of Natural Phenomena

In this paper, we show finite time blow-up of solutions of the p−wave equation in ℝN, with critical Sobolev exponent. Our work extends a result by Galaktionov and Pohozaev [4]

Displaying 1 – 6 of 6

Blow up of solutions for Klein-Gordon equations in the Reissner-Nordstrom metric.

Blow up of solutions to semilinear wave equations.

Blow up of the solutions of nonlinear wave equation.

Blow-up of solutions to a nonlinear wave equation.

Blow-up of the solution to the initial-value problem in nonlinear three-dimensional hyperelasticity

Blow-up Solutions of Quasilinear Hyperbolic Equations With Critical Sobolev Exponent

Currently displaying 1 – 6 of 6