Exponential stabilization of a semi linear third order in time equation with memory
DOI10.1007/S00245-024-10144-3zbMATH Open1542.35051MaRDI QIDQ6564716
Valéria N. Domingos Cavalcanti, Author name not available (Why is that?), Eduardo Henrique Gomes Tavares, Author name not available (Why is that?)
Publication date: 1 July 2024
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Higher-order semilinear hyperbolic equations (35L76)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Mathematics of nonlinear acoustics
- Global attractors for a third order in time nonlinear dynamics
- Moore-Gibson-Thompson equation with memory. I: Exponential decay of energy
- The Moore-Gibson-Thompson equation with memory in the critical case
- On long time behavior of Moore-Gibson-Thompson equation with molecular relaxation
- Second-sound phenomena in inviscid, thermally relaxing gases
- Moore-Gibson-Thompson equation with memory. II: General decay of energy.
- On the Moore-Gibson-Thompson equation and its relation to linear viscoelasticity
- A new approach to equations with memory
- The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation
- The MGT-Fourier model in the supercritical case
- Attractors for semi-linear equations of viscoelasticity with very low dissipation
- Semigroups of linear operators and applications to partial differential equations
- Moore-Gibson-Thompson equation with memory in a history framework: a semigroup approach
- A note on the Moore-Gibson-Thompson equation with memory of type II
- On long-time behavior of Moore-Gibson-Thompson equation with localized and degenerate memory effect
- General decay of the Cauchy problem for a Moore-Gibson-Thompson equation with memory
- On the well-posedness and general decay results of Moore-Gibson-Thompson equation with memory
- General decay of the Moore-Gibson-Thompson equation with viscoelastic memory of type II
- Global existence for the Jordan-Moore-Gibson-Thompson equation in Besov spaces
- Global well-posedness of the Cauchy problem for the Jordan-Moore-Gibson-Thompson equation with arbitrarily large higher-order Sobolev norms
- General decay rate for a Moore-Gibson-Thompson equation with infinite history
- On the regularity of solutions to the Moore-Gibson-Thompson equation: a perspective via wave equations with memory
- Mathematical analysis of memory effects and thermal relaxation in nonlinear sound waves on unbounded domains
- Decay rates for the Moore-Gibson-Thompson equation with memory
- A general stability result for a viscoelastic Moore-Gibson-Thompson equation in the whole space
- Global solvability of Moore-Gibson-Thompson equation with memory arising in nonlinear acoustics
- Asymptotic stability in viscoelasticity
- Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation
- Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory
- An abstract semigroup approach to the third‐order Moore–Gibson–Thompson partial differential equation arising in high‐intensity ultrasound: structural decomposition, spectral analysis, exponential stability
- WELL-POSEDNESS AND EXPONENTIAL DECAY OF THE ENERGY IN THE NONLINEAR JORDAN–MOORE–GIBSON–THOMPSON EQUATION ARISING IN HIGH INTENSITY ULTRASOUND
- The Jordan–Moore–Gibson–Thompson Equation: Well-posedness with quadratic gradient nonlinearity and singular limit for vanishing relaxation time
- The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations
- New general decay results for a Moore–Gibson–Thompson equation with memory
- Global well-posedness of the Cauchy problem for the 3D Jordan–Moore–Gibson–Thompson equation
- Feedback control of the acoustic pressure in ultrasonic wave propagation
- On the Moore-Gibson-Thompson equation with memory with nonconvex kernels
- Solvability of the Moore-Gibson-Thompson equation with viscoelastic memory type II and integral condition
- Well‐posedness and exponential decay for the Moore–Gibson–Thompson equation with time‐dependent memory kernel
This page was built for publication: Exponential stabilization of a semi linear third order in time equation with memory
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6564716)