Slow decay for one-dimensional porous dissipation elasticity

Applied Mathematics Letters

Volumn 16, Issue 4, 2003, Pages 487-491

  Quintanilla, R ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Porous elasticity; Slow decay; Stability

Indexed keywords

EID: 84867969086     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(03)00025-9     Document Type: Article

References (13)

1. S. Jiang, and R. Racke Evolution Equations in Thermoelasticity 2000 Chapmann and Hall/CRC Boca Raton, FL
2. M. Slemrod Global existence, uniqueness and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity Arch. Rational Mech. Anal. 76 1981 97 133
3. M. Aassila Strong asymptotic stability of a compactly coupled system of wave equations Appl. Math. Lett. 14 3 2001 285 290
4. R. Quintanilla, Exponential stability for the one-dimensional problem of swelling porous elastic soils with fluid saturation, Journal Computational and Applied Mathematics (to appear).
5. S.C. Cowin, and J.W. Nunziato Linear elastic materials with voids J. Elasticity 13 1983 125 147
6. W. Nunziato, and S.C. Cowin A nonlinear theory of elastic materials with voids Arch. Rational Mech. Anal. 72 1979 175 201
7. S.C. Cowin The viscoelastic behavior of linear elastic materials with voids J. Elasticity 15 1985 125 191
8. W. Ciarletta, and D. Iesan Non-classical elastic solids Pitman Research Notes in Mathematics Series 293 1993 New York
9. D. Iesan, and R. Quintanilla Decay estimates and energy bounds for porous elastic cylinders Jour. Appl. Math. Phys. (ZAMP) 46 1995 268 281
10. F. Martinez, and R. Quintanilla Existence and uniqueness of solutions to the equations of the incremental thermoelasticity with voids M.M. Marques, J.F. Rodrigues, Trends in Applications of Mathematics to Mechanics Pitman Monographs and Surveys in Pure and Applied Mathematics 1995 45 56
11. R. Quintanilla Uniqueness in nonlinear theory of porous elastic materials Archives of Mechanics 49 1997 67 75
12. R. Quintanilla On uniqueness and continuous dependence in the nonlinear theory of mixtures of elastic solids with voids Mathematics and Mechanics of Solids 6 2001 281 298
13. M.J. Dieudonné La Theorie Analytique des Polynomes d'une Variable A Coefficients Quelconques 1938 Gauthier-Villars