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Mixed and Crack-Type Boundary Value Problems in Mindlin's Theory of Piezoelectricity
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Published/Copyright:
March 10, 2010
Abstract
We consider mixed boundary value problems for a piezoelectric medium with a crack. The study is based on Mindlin's model of piezoelectricity which takes into account the influence of the polarization gradient. Using the potential methods and the theory of pseudodifferential equations on manifolds with boundary we prove the existence and uniqueness of solutions and establish their regularity properties.
Key words and phrases:: Piezoelasticity; polarization gradient; cracks; mixed boundary value problems; potential method; pseudodifferential equations; existence of solutions; regularity of solutions
Received: 2008-06-20
Published Online: 2010-03-10
Published in Print: 2008-September
© Heldermann Verlag
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Keywords for this article
Piezoelasticity;
polarization gradient;
cracks;
mixed boundary value problems;
potential method;
pseudodifferential equations;
existence of solutions;
regularity of solutions
Articles in the same Issue
- Higher Regularity of a Coupled Parabolic-Hyperbolic Fluid-Structure Interactive System
- Impulse Control in Discrete Time
- Mixed and Crack-Type Boundary Value Problems in Mindlin's Theory of Piezoelectricity
- Estimates of the Location of a Free Boundary for the Obstacle and Stefan Problems Obtained by Means of Some Energy Methods
- Extended Normal Vector Field and the Weingarten Map on Hypersurfaces
- Capacity Induced by a Nonlinear Operator and Applications
- Boundary Layers for the Navier–Stokes Equations. The Case of a Characteristic Boundary
- Large Time Behavior of Solutions to One Nonlinear Integro-Differential Equation
- On One Boundary Value Problem for a Nonlinear Equation with the Iterated Wave Operator in the Principal Part
- On Solvability and Well-Posedness of Boundary Value Problems for Nonlinear Hyperbolic Equations of the Fourth Order
- A Note on the One-Side Exact Boundary Observability for Quasilinear Hyperbolic Systems
- Principle of Exchange of Stabilities and Dynamic Transitions
