caa a22 4500 445812206 CHVBK 20180317145215.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00419-010-0423-x doi (NATIONALLICENCE)springer-10.1007/s00419-010-0423-x Stability analysis of fluid flow over a nonlinearly stretching sheet [Elektronische Daten] [T. Mahapatra, S. Nandy, K. Vajravelu, Robert Van Gorder] We discuss the stability of solutions to a class of nonlinear third-order ordinary differential equations arising in the viscous flow over a nonlinearly stretching sheet. In particular, we consider solutions over the semi-infinite interval [0, ∞). These results complement the available existence and uniqueness results in the literature. We find that, in general, there is one stable solution branch and one unstable solution branch. Furthermore, it is observed that the stable solution becomes more stable with an increase in the nonlinearity due to the stretching sheet, while the unstable solution branch becomes more unstable given such an increase in the nonlinearity. The stable solution is the physically meaningful solution. Springer-Verlag, 2010 Boundary layer flow nationallicence Stretching sheet nationallicence Stability analysis nationallicence Mahapatra T. Department of Mathematics, Visva-Bharati, 731 235, Santiniketan, India aut Nandy S. Department of Mathematics, A.K.P.C Mahavidyalaya, 712 611, Bengai, India aut Vajravelu K. Department of Mathematics, University of Central Florida, 32816, Orlando, FL, USA aut Van Gorder Robert Department of Mathematics, University of Central Florida, 32816, Orlando, FL, USA aut Archive of Applied Mechanics Springer-Verlag 81/8(2011-08-01), 1087-1091 0939-1533 81:8<1087 2011 81 419 https://doi.org/10.1007/s00419-010-0423-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-010-0423-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mahapatra T. Department of Mathematics, Visva-Bharati, 731 235, Santiniketan, India aut NATIONALLICENCE 700 1- Nandy S. Department of Mathematics, A.K.P.C Mahavidyalaya, 712 611, Bengai, India aut NATIONALLICENCE 700 1- Vajravelu K. Department of Mathematics, University of Central Florida, 32816, Orlando, FL, USA aut NATIONALLICENCE 700 1- Van Gorder Robert Department of Mathematics, University of Central Florida, 32816, Orlando, FL, USA aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/8(2011-08-01), 1087-1091 0939-1533 81:8<1087 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer