“The monograph describes the physical meaning of the problems under consideration, which confirms their relevance and undoubtedly arouses interest among people involved in applied research. For each problem, the results presented are given with references on used methods and ideas, as well as for previously known results. This makes it possible to get a more complete picture of the development of the theory of stability of systems with Kelvin-Voigt damping.” (Mikhail Turbin, zbMATH 1512.35001, 2023)

• Preface.- Chapter 1. Preliminaries.- Chapter 2. Stability of elastic transmission systems with a local Kelvin-Voigt damping.- Chapter 3. Stabilization for the wave equation with singular Kelvin-Voigt damping.- Chapter 4. Logarithmic stabilization of the Euler-Bernoulli transmission plate equation with locally distributed Kelvin-Voigt damping.- Chapter 5. Energy decay estimates of elastic transmission wave/beam systems with a local Kelvin-Voigt damping.- Chapter 6. Asymptotic behavior of the transmission Euler-Bernoulli plate and wave equation with a localized Kelvin-Voigt damping.- Chapter 7. Conclusion and perspectives.- Bibliography.

“The monograph describes the physical meaning of the problems under consideration, which confirms their relevance and undoubtedly arouses interest among people involved in applied research. For each problem, the results presented are given with references on used methods and ideas, as well as for previously known results. This makes it possible to get a more complete picture of the development of the theory of stability of systems with Kelvin-Voigt damping.” (Mikhail Turbin, zbMATH 1512.35001, 2023)

• Preface.- Chapter 1. Preliminaries.- Chapter 2. Stability of elastic transmission systems with a local Kelvin-Voigt damping.- Chapter 3. Stabilization for the wave equation with singular Kelvin-Voigt damping.- Chapter 4. Logarithmic stabilization of the Euler-Bernoulli transmission plate equation with locally distributed Kelvin-Voigt damping.- Chapter 5. Energy decay estimates of elastic transmission wave/beam systems with a local Kelvin-Voigt damping.- Chapter 6. Asymptotic behavior of the transmission Euler-Bernoulli plate and wave equation with a localized Kelvin-Voigt damping.- Chapter 7. Conclusion and perspectives.- Bibliography.

“The monograph describes the physical meaning of the problems under consideration, which confirms their relevance and undoubtedly arouses interest among people involved in applied research. For each problem, the results presented are given with references on used methods and ideas, as well as for previously known results. This makes it possible to get a more complete picture of the development of the theory of stability of systems with Kelvin-Voigt damping.” (Mikhail Turbin, zbMATH 1512.35001, 2023)

• Preface.- Chapter 1. Preliminaries.- Chapter 2. Stability of elastic transmission systems with a local Kelvin-Voigt damping.- Chapter 3. Stabilization for the wave equation with singular Kelvin-Voigt damping.- Chapter 4. Logarithmic stabilization of the Euler-Bernoulli transmission plate equation with locally distributed Kelvin-Voigt damping.- Chapter 5. Energy decay estimates of elastic transmission wave/beam systems with a local Kelvin-Voigt damping.- Chapter 6. Asymptotic behavior of the transmission Euler-Bernoulli plate and wave equation with a localized Kelvin-Voigt damping.- Chapter 7. Conclusion and perspectives.- Bibliography.