Stability in Kelvin-Voigt poroelasticity. (English) Zbl 1469.74059
Summary: Hölder continuous dependence of solutions upon the initial data is established for the linear theory of Kelvin-Voigt poroelasticity requiring only symmetry conditions upon the elastic coefficients. A novel functional is introduced to which a logarithmic convexity technique is employed.
MSC:
| 74H55 | Stability of dynamical problems in solid mechanics |
| 74H25 | Uniqueness of solutions of dynamical problems in solid mechanics |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
| 74D05 | Linear constitutive equations for materials with memory |
| 35Q74 | PDEs in connection with mechanics of deformable solids |
Keywords:
stability estimate; Hoelder continuous dependence; improperly posed problem; symmetry condition; logarithmic convexity; uniquenessReferences:
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