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Talk · AIP conference proceedings · January 1, 2017

Shock waves as generalized solutions of thermoelastodynamics equations. On the uniqueness of boundary value problems solutions

Bakhyt N. Alipova, Lyudmila Alexeyevna Alexeyeva, A.N. Dadayeva

Bakhyt Alipova
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Abstract

Generalized solutions of coupled thermoelastodynamics equations are considered. By use of generalized functions theory, the conditions on jumps of stresses, velocities, temperature gradients and energy density on their fronts are received. The statements of four non-stationary boundary value problems of coupled thermoelasticity are given, for which uniqueness of decisions are proved by influence of shock thermoelastic waves.

Thermoelastic and Magnetoelastic PhenomenaDifferential Equations and Boundary ProblemsStability and Controllability of Differential Equationsshock wavesweak solutionsuniqueness of solutions

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