000 01547 a2200253 4500
008 220703b |||||||| |||| 00| 0 eng d
020 _a9780387004532
082 _a621
_bSTR
100 _aStraughan, Brian
245 _aEnergy method, stability, and nonlinear convection
250 _a2nd
260 _bSpringer Verlag,
_c2004.
_aNew York:
300 _axii, 447p.;
_bhbk;
_c25cm.
440 _aApplied Mathematical Sciences; no. 91
504 _aIncludes reference and index
520 _aThis book describes the energy method, a powerful technique for deriving nonlinear stability estimates in thermal convection contexts. It includes a very readable introduction to the subject (Chapters 2-4), which begins at an elementary level and explains the energy method in great detail, and also covers the current topic of convection in porous media, introducing simple models and then showing how useful stability results can be derived. In addition to the basic explanation, many examples from diverse areas of fluid mechanics are described. The book also mentions new areas where the methods are being used, for example, mathematical biology and finance. Several of the results given are published here for the first time. https://link.springer.com/book/10.1007/978-0-387-21740-6#about-this-book
650 _aHeat--Convection
650 _aMathematical models
650 _aFluid dynamics
650 _aDifferential equations
650 _aNonlinear--Numerical solutions
650 _aNavier-Stokes equation
942 _2ddc
_cTD
999 _c56799
_d56799