Hölder stability in Type III thermoelastodynamics

Stabilization of a Type III Thermoelastic Bresse System with Distributed Delay-time

In this paper, we investigate a Bresse-type system of thermoelasticity of type III in the presence of a distributed delay. We prove the well-posedness of the problem. Furthermore, an exponential stability result will be shown without the usual assumption on the wave speeds. To achieve our goals, we make use of the semigroup method and the energy method.

The Best Option in Treatment of Modified Mason Type III Radial Head Fractures: Open Reduction and Internal Fixation Versus Radial Head Excision

Background: Radial head fractures commonly occur during elbow traumas. Among those, treatment of Mason type IIIfractures is still under controversy. Common treatment methods for these fractures include open reduction and internalfixation (ORIF) as well as radial head excision. In this study, we compared long-term outcomes of both methods intreatment of patients with Mason type III fractures of ...

Uniqueness and Hölder Type Stability of Continuation for the Linear Thermoelasticity System with Residual Stress

By introducing some auxiliary functions, an elasticity system with thermal effects becomes a coupled hyperbolic-parabolic system. Using this reduced system, we obtain a Carleman estimate with two large parameters for the linear thermoelasticity system with residual stress which is the basic tool for showing stability estimates in the lateral Cauchy problem.

Nonlinear Transient Thermoelastodynamics of Functionally Graded Panels Subjected to Strong Acoustic Excitations

Uniqueness and Hölder stability of discontinuous diffusion coefficients in three related inverse problems for the heat equation

We consider the heat equation ∂ty − div(c∇y) = H with a discontinuous coefficient in three connected situations. We give uniqueness and stability results for the diffusion coefficient c(·) in the main case from measurements of the solution on an arbitrary part of the boundary and at a fixed time in the whole spatial domain. The diffusion coefficient is assumed to be discontinuous across an unkn...