Existence and uniform rates of decay of contant problems in viscoelasticity

References

• Copetti , MIM and Elliot , C.M. 1993 . A one dimensional quasi-static contant problem in linear thermoelasticity . Eur. J. appl. math , 4 : 151
   Google Scholar
• Dacorogna , B. 1982 . weak continuity and weak lower semicontinuity of nonlinear functionals . Lec. Notes in Math , 992
   Google Scholar
• Duvaut , G. and Lions , J.L. 1972 . Les inéquations en mécanique et an physique .
   Google Scholar
• Dafermos , C.M. 1970 . Asymptotic Stability in Viscoelasticity . Arch. Rat Mech. Anal , 37 : 297 – 308 .
   Web of Science ®Google Scholar
• Dafermos , C.M. 1970 . An abstract Volterra equation with applications to linear viscoelasticity . Journal of Diff.equations , 7 : 554 – 569 .
   Web of Science ®Google Scholar
• C.M , Elloit and T , Qi . 1994 . A dynamic contant problem in thermoelasticity . Nonlinear Analysis , 23 ( 7 ) : 883 – 898 . TMA
   Web of Science ®Google Scholar
• Evans L. C. Weak convergence methods for nonlznear partial differential equations Regional Conference Series in Mathematics No 74 (AMS)
   Google Scholar
• Gilbert , R.P. , Shi , P. and Shillor , M. 1990 . A quasistatic contant problem in linear thermoelasticity . Rendiconti di mat , 10 : 785 – 808 .
   Google Scholar
• Kawashima , S. 1993 . Global solutions to the equation of Viscoelasticity with Fading Memory . J. of Diff. Equations , 101 ( 2 ) : 388 – 420 .
   Web of Science ®Google Scholar
• Shi , P. and Shillor , M. 1992 . Existence of a solution to the n dimensional problem of thermoelastic contact . Commun. in Partial Diff. Equations , 17 ( 9&10 ) : 1597 – 1618 .
   Web of Science ®Google Scholar
• J.U , Kim . 1989 . A boundary thin obstacle problem for a wave equation . Comm. Partial Diff. Equations , 14 ( 8&9 ) : 1011 – 1026 .
   Web of Science ®Google Scholar
• Muñoz Rivera , J.E. 1994 . Asymptotic behaviour in linear viscoelasticity . Quartely of Appl. Math , 3 ( 4 ) : 629 – 648 .
   Google Scholar
• Renardy , M. , Hrusa , W.J. and Nohel , J.A. 1987 . Mathematical problem in Viscoelasticity Pitman monograph in Pure andApplied Mathematics . 35
   Google Scholar
• Shillor , M. 1990 . Uniqueness and stability of the solution to a thermoelastic contact problem . Euro. J. Appl. Math , 1 : 371 – 387 .
   Google Scholar
• Shi P. Shillor M. A quasistatic contact problem in thermoelasticitywith a radiation condition for the temperature Berli to appear in J. Math. Anal. Appl
   Google Scholar
• Shi , P. , Shillor , M. and X.L. 1991 . Numerical solution to the one dimensional problem of thermoelastic contact . Comput. Math. Appl , 22 ( 10 ) : 65 – 78 .
   Web of Science ®Google Scholar