Title
Decay of Solution of a Viscoelastic Problem: Viscoelastic Problems,Used
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The aim of this thesis is to investigate the asymptotic behavior of solutions of some viscoelastic problems in bounded domains. In this regard, we study several problems and establish exponential, polynomial and general decay rate results. The decay results are established in the absence, as well as in the presence of a source term. This thesis contains five chapters. In Chapter 1, we discuss the properties and significance of viscoelastic materials and we end the chapter by reviewing some literatures related to our problems. In Chapter 2, we present some principal concepts, some theorems on Sobolev embeddings and some lemmas which are of essential use in the proofs of our results. In Chapter 3, we study the asymptotic behaviors of solution of a viscoelastic problem when the relaxation function is decaying exponentially in the presence of a source term. In this regard, we establish a decay result which depends on the behavior of the external force. The case when the relaxation function is decaying polynomially in the absence of a source term is treated in Chapter 4. A general decay result for the finite history case is studied in the last chapter.
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Shipping & Returns
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We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
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Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
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