TY  - JOUR
TT  - Wave-Plate Tipi denklem sisteminin sürekli bağımlılığı
AU  - Başcı, Yasemin
AU  - Gür, Şevket
PY  - 2017
DA  - December
Y2  - 2017
DO  - 10.16984/saufenbilder.319522
JF  - Sakarya University Journal of Science
JO  - SAUJS
PB  - Sakarya University
WT  - DergiPark
SN  - 2147-835X
SP  - 1389
EP  - 1393
VL  - 21
IS  - 6
KW  - wave-plate type
KW  - continuous dependence
N2  - Bu çalışmada, wave-plate tipi denklem sisteminin çözümlerininkatsayılara sürekli bağımlılığı ispatlanmıştır.
CR  - [1] K.A. Ames, L.E. Payne, “Continuous dependence results for solutions of the Navier-Stokes equations backward in time,” Nonlinear Anal. Theor. Math. Appl., 23, 103-113, 1994.
CR  - [2]  A.O. Çelebi, V.K. Kalantarov, D. Ugurlu, “On continuous dependence on coefficients of the Brinkman-Forchheimer equations,” Appl. Math.
Lett., 19, 801-807, 2006
CR  - [3]  A.O. Çelebi, V.K. Kalantarov, D. Ugurlu, “Continuous dependence for the convective Brinkman-Forchheimer equations,” Appl. Anal. 84 (9), 877-888, 2005.
CR  - [4] Changhao Lin, L.E. Payne, “Continuous dependence of heatux on spatial geometry for the generalized Maxwell-Cattaneosystem,” Z. Angew. Math. Phys. 55, 575-591, 2004.
CR  - [5] F. Franchi, B. Straughan, “A continuous dependence on the body force for solutions to the Navier- Stokes equations and on the heat supply
in a model for double-diffusive porous convection,” J. Math. Anal. Appl. 172, 117-129, 1993.
CR  - [6] F. Franchi, B. Straughan, “Continuous dependence on the relaxation time and modelling, and unbounded growth,”J. Math. Anal. Appl. 185, 726-746, 1994.
CR  - [7]  F. Franchi, B. Straughan, “Spatial decay estimates and continuous dependence on modelling for an equation from dynamo theory,” Proc. R. Soc. Lond. A 445, 437-451, 1994.
CR  - [8] F. Franchi, B. Straughan, “Continuous dependence and decay for the Forchheimer equations,” Proc. R. Soc. Lond. Ser. A 459,3195-3202, 2003.
CR  - [9]    Yan Li, C. Lin, “Continuous dependence for the nonhomogeneous Brinkman-Forchheimer equations in a semi-infnite pipe,” Appl. Mathematics and Computation 244, 201-208, 2014.
CR  - [10]  C. Lin, L.E. Payne, “Continuous dependence on the Soret coefficient for double diffusive convection in Darcy ow,” J. Math. Anal. Appl. 342 , 311-325, 2008.
CR  - [11]	Y. Liu, “Convergence and continuous dependence for the Brinkman-Forchheimer equations,” Math. Comput. Model. 49, 1401-1415, 2009.
CR  - [12]	Y. Liu, Y. Du, C.H. Lin, “Convergence and continuous dependence results for the Brinkman equations,” Appl. Math. Comput. 215 , 4443-4455, 2010.
CR  - [13]	L.E. Payne, J.C. Song and B. Straughan,“Continuous dependence and convergence results for Brinkman and Forchheimer models with variable viscosity,” Proc. R. Soc. Lond. A 45S , 2173-2190, 1999.
CR  - [14] L.E. Payne, B. Straughan, “Convergence and continuous dependence for the Brinkman-Forchheimer equations,” Stud. Appl. Math. 102, 419-439, 1999.
CR  - [15]	M.L. Santos, J.E. Munoz Rivera, “Analytic property of a coupled system of wave-plate type with thermal effect,” Differential Integral Equations 24(9-10), 965-972, 2011.
CR  - [16]	N.L. Scott, “Continuous dependence on boundary reaction terms in a porous medium of Darcy type,” J. Math. Anal. Appl. 399,  667-675, 2013.
CR  - [17]	N.L. Scott, B. Straughan, “Continuous dependence on the reaction terms in porous convection with surface reactions,” Quart. Appl. Math. (in press).
CR  - [18]	B. Straughan, “The Energy Method, Stability and Nonlinear Convection,”Appl. Math. Sci. Ser., second ed., vol. 91, Springer, 2004.
CR  - [19]	B. Straughan, “Stability and Wave Motion in Porous Media,” Appl. Math. Sci. Ser., vol. 165, Springer, 2008.
CR  - [20]	B. Straughan, “Continuous dependence on the heat source in resonant porous penetrative convection,” Stud. Appl. Math. 127 , 302-314, 2011.
CR  - [21]	M. Yaman, Ş. Gür, “Continuous dependence for the pseudoparabolic equation,” Bound. Value Probl. , Art. ID 872572, 6 pp., 2010.
CR  - [22]	M. Yaman, Ş. Gür, “Continuous dependence for the damped nonlinear hyperbolic equation,” Math. Comput. Appl. 16 (2), 437-442, 2011.
CR  - [23]	G. Tang, Y. Liu, W. Liao, “Spatial behavior of a coupled systemof wave-plate type,” Abstract and Applied Analysisv volume 2014, Article ID 853693, 13 pages.
CR  - [24]	H. Tu, C. Lin,” Continuous dependence for the Brinkman equations of ow in double-diffusive convection,” Electron. J. Diff. Eq. 92 , 1-9, 2007.
UR  - https://doi.org/10.16984/saufenbilder.319522
L1  - https://dergipark.org.tr/en/download/article-file/344082
ER  -