1 |
C. O. Horgan and L. E. Payne, On inequalities of Korn, Friedrichs and Bobuska-Aziz, Arch. Rational Mech. Anal. 82 (1983), no. 2, 165-179.
|
2 |
Y. Liu and C. Lin, Phragmen-Lindelof alternative and continuous dependence-type results for the thermoelasticity of type III, Appl. Anal. 87 (2008), no. 4, 431-449.
DOI
ScienceOn
|
3 |
C. Lin and L. E. Payne, Structural stability for a Brinkman fluid, Math. Methods Appl. Sci. 30 (2007), no. 5, 567-578.
DOI
ScienceOn
|
4 |
B. Straughan, Stability and Wave Motion in Porous Media, Springer, Appl. Math. Sci. Ser., vol. 165, 2008.
|
5 |
B. Straughan, Explosive Instabilities in Mechanics, Springer, Berlin-heidelberg, 1998.
|
6 |
L. E. Payne and B. Straughan, Convergence of the equations for a Maxwell fluid, Stud. Appl.Math. 103 (1999), no. 3, 267-278.
DOI
|
7 |
L. E. Payne and J. C. Song, Phragmen-Lindelof and continuous dependence type results in generalized heat conduction, Z. Angew. Math. Phys. 47 (1996), no. 4, 527-538.
DOI
|
8 |
L. E. Payne, J. C. Song, and B. Straughan, Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 455 (1999), no. 1986, 2173-2190.
DOI
ScienceOn
|
9 |
L. E. Payne and B. Straughan, Stability in the initial-time geometry problem for the Brinkman and Darcy equations of flow in porous media, J. Math. Pures Appl. 75 (1996), no. 3, 255-271.
|
10 |
L. E. Payne and B. Straughan, Structural stability for the Darcy equations of flow in porous media, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 454 (1998), no. 1974, 1691-1698.
DOI
ScienceOn
|
11 |
R. Quintanilla, Logarithmic convexity in thermoelasticity of type III, Mathematical and Numerical Aspects of Wave Propagation, pp. 192-196, SIAM, Philadelphia, PA, 2000.
|
12 |
R. Quintanilla, Damping of end effects in a thermoelastic theory, Appl. Math. Lett. 14 (2001), no. 2, 137-141.
DOI
ScienceOn
|
13 |
R. Quintanilla, Convergence and structural stability in thermoelasticity, Appl. Math. Comput. 135 (2003), no. 2-3, 287-300.
DOI
ScienceOn
|
14 |
R. Quintanilla, On the spatial behavior of constrained motion in type III thermoelasticity, J. Thermal Stresses 33 (2010), no. 7, 694-705.
DOI
ScienceOn
|
15 |
A. O. Celebi, V. K. Kalantarov, and D. Ugurlu, On continuous dependence on coefficients of the Brinkman-Forchheimer equations, Appl. Math. Lett. 19 (2006), no. 8, 801-807.
DOI
ScienceOn
|
16 |
J. C. Song, Phragmen-Lindelof and continuous dependence type results in a stokes flow, Appl. Math. Mech. (English Ed.) 31 (2010), no. 7, 875-882.
DOI
ScienceOn
|
17 |
B. Straughan, The Energy Method, Stability and Nonlinear Convection, Second Edition, Springer, Appl. Math. Sci. Ser., vol. 91, 2004.
|
18 |
K. A. Ames and B. Straughan, Non-Standard and Improperly Posed Problems, Mathe-matics in Science and Engineering Series, Vol. 194, Academic, Press, San Diego, 1997.
|
19 |
A. O. Celebi, V. K. Kalantarov, and D. Ugurlu, Continuous dependence for the convective Brinkman-Forchheimer equations, Appl. Anal. 84 (2005), no. 9, 877-888.
DOI
ScienceOn
|
20 |
S. Chirita and R. Quintanilla, Spatial decay estimates of Saint-Venant's type in generalized thermoelasticity, Internat. J. Engng. Sci. 34 (1996), no. 3, 299-311.
DOI
ScienceOn
|
21 |
F. Franchi and B. Straughan, Continuous dependence and decay for the Forchheimer equations, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. 459 (2003), no. 2040, 3195-3202.
DOI
ScienceOn
|
22 |
A. E. Green and P. M. Naghdi, Thermoelasticity without energy dissipation, J. Elasticity 31 (1993), no. 3, 189-208.
DOI
ScienceOn
|
23 |
A. E. Green and P. M. Naghdi, A re-examination of the basic postulates of thermomechanics , Proc. Roy. Soc. London Ser. A 432 (1991), no. 1885, 171-194.
DOI
ScienceOn
|