SIAM Journal on Applied Mathematics, Vol. 55, No. 1 (Feb., 1995), pp. 192-204 (13 pages) Solutions of the thermal boundary layer equations are obtained for a model problem in which the flow field ...

The simplest problem with boundary layers, $\epsilon ^{2}u_{xx}-u=-f(x)$, is used to illustrate (i) why the perturbation series in powers of ε is asymptotic but divergent, (ii) why the optimally ...

The mathematical modelling of free and moving boundary problems are an important topic in engineering, industry, technology and theoretical sciences. These models allow us to make calculations ...

Illustration of daytime-warm-season boundary layer circulations and Cumulus cloud formation over complex terrain. Current research efforts in mesoscale and boundary-layer dynamics utilize novel ...

The planetary boundary layer (PBL) is also known as the atmospheric boundary layer (ABL). It is the lowest part of the atmosphere and its behavior is directly influenced by its contact with the ground ...

The National Academies of Sciences, Engineering, and Medicine are private, nonprofit institutions that provide expert advice on some of the most pressing challenges facing the nation and world. Our ...

The field of ultrafast magnetism explores how flashes of light can manipulate a material's magnetization in trillionths of a ...