Manuel Milla Miranda, Aldo T. Louredo, Marcondes R. Clark, Giovana Siracusa
Abstract:
This article concerns the existence and decay of solutions of a nonstationary Lame system.
This system has a nonlinear perturbation that produces an energy without definite sign.
We consider displacement and traction conditions at the boundary and a general nonlinear
boundary damping. We also obtain exponential decay of the energy.
Submitted March 29, 2021. Published March 18, 2022.
Math Subject Classifications: 35L15, 35L20, 35K55, 35L60, 35L70.
Key Words: Nonlinear elasticity; mixed boundary conditions; existence of solutions.
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Manuel Millla Miranda Departamento de Matemática Universidade Estadual da Paraíba, DM, PB, Brazil email: mmillamiranda@gmail.com |
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Aldo Trajano Louredo Departamento de Matemática Universidade Estadual da Paraíba, DM, PB, Brazil email: aldolouredo@gmail.com |
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Marcondes Rodrigues Clark Departamento de Matemática Universidade Federal do Piauí, DM, PI, Brazil email: marcondesclark@gmail.com |
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Giovana Siracusa Gouveia Departamento de Matemática Universidade Federal de Sergipe, DM, SE, Brazil email: gisiracusa@gmail.com |
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