Mathematica Moravica · 2018 · 12 citations · 12 references
Natural SciencesMathematicsPhysicsApplied MechanicsDifferential EquationsFluid DynamicsBoundary ConditionsDissipative SystemsExistence TheoryStability TheoryWeak FormulationDirichlet Boundary ConditionsDirichlet ConditionsDissipativityHyperbolic Boundary-value ProblemsHyperbolic Partial Differential EquationsParabolic Boundary-value ProblemsParabolic Partial Differential EquationsStrong Solutions
In this paper, we consider the following Timoshenko equation utt + ( 2u ( M ((( ( u (( 2( ( u + ut = (u( q-1 u associated with initial and Dirichlet boundary conditions. We prove the non-existence of solutions with positive and negative initial energy.
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