Comments:

32 pages, year 2008, university programs and labs

Abstract:

Physical Applied Mathematics can be outlined based on two major goals: 1. To develop new mathematical methods and logical-mathematical models with very broad spplications to science and engineering; and 2. To make and further develop fundamental advances in the mathematics related to theoretical and practical applications in the physical sciences and engineering. Several examples of such Physical Mathematics applications are in: mathematical theory of transport phenomena, digital microfluidics and nanotechnology, nanophotonics, biomimetics, mathematical theory of super-hydrophobic surfaces, applied mathematics of collective dynamics far from equilibrium, and mathematical theories of dynamics of galaxies. (http://math.mit.edu/research/applied/appliedmath.html). Other examples are: Geophysical and Environmental Fluid Dynamics, Surface Tension-Driven Phenomena, and Biofluidynamics (http://www-math.mit.edu/~bush/research.html); specific topics are, for example" Hydrothermal Plumes; Thermohaline Convection in the Arctic Ocean Stratified Spin-up; Sedimentation in Stratified Fluids; Particle clouds in homogeneous and stratified ambients; The Boycott effect in a stratified fluid ; Tumbling metal droplets: the dynamics of tektites; Mixing by Bubbles Drop Motion in Rotating Fluids Bubble Motion in a Thin Gap Drainage of Soap Films The dynamics of wine Fluid sheets and bells Fluid pipes; Colliding jets: chains and fishbones; Viscous hydraulic jumps; beating hearts: spontaneous oscillations of a sessile lens; dynamics of viscous sheets; impact of small hydrophobic bodies on a water surface;the fluid trampoline: a droplet bouncing on a soap film; motion of fluid slugs in a tapered tube;the propulsion mechanism of aquatic snails;biomimetics: the design and construction of robotic creatures; capillary feeding in shorebirds; underwater breathing: the mechanics of plastron respiration; dynamics of spider capture silk, and so on. (http://www-math.mit.edu/~bush/publications.html} 34 online PDF downloads, such as: http://www-math.mit.edu/~bush/Dynamic_topography.pdf References: Bush, J.W.M., Stone, H.A., and Bloxham, J., 1995. Axial Drop Motion in Rotating Fluids, J. Fluid Mech, 282, 247-278. pdf Stone, H.A. and Bush, J.W.M., 1996. Time-dependent drop deformation in a rotating high viscosity fluid, Quart. J.Appl. Math., 5 (3), 551-556. pdf Bush, J.W.M., 1997. The anomalous wake accompanying bubbles rising in a thin gap: a mechanically forced Marangoni flow. J. Fluid Mech., 352, 283-303. pdf Bush, J.W.M. and Woods, A.W., 1998. Experiments on buoyant plumes in a rotating channel, Geophys. Astrophys. Fluid Dyn., 89, 1-22. pdf Bush, J.W.M. and Eames, I., 1998. Fluid displacement by high Reynolds number bubble motion in a thin gap, Int. J. Mult. Flow, 24, 411-430. pdf Bush, J.W.M. and Woods, A.W., 1999. Vortex generation by line plumes in a rotating stratified fluid, J. Fluid Mech. , 388, 289-313. pdf Woods, A.W. and Bush, J.W.M., 1999. The dimensions and dynamics of megaplumes, J. Geophys. Res. , 104, 20495-20507.Abstract Eames, I. and Bush, J.W.M., 1999. Longitudinal dispersion by bodies fixed in a potential flow, Proc. Roy. Soc. A, 455, 3665-3686. pdf Bush, J.W.M. and Woods, A.W., 2000. An investigation of the link between lead-induced thermohaline convention and arctic eddies, Geophys. Res. Lett. , 27, 1179-1182. pdf Skotheim, J.M, and Bush, J.W.M., 2000. Evaporatively-driven convection in a draining soap film, Gallery of Fluid Motion, Physics of Fluids , 12 (9). pdf Hosoi, A.E. and Bush, J.W.M., 2000. Evaporative instabilities in climbing films, J. Fluid Mech. , 442, 217-229. pdf Buckingham, R. and Bush, J.W.M., Fluid Polygons, 2001. Gallery of Fluid Motion, Physics of Fluids ,13 (9). pdf Parsons, J.D., Bush, J.W.M. and Syvitski, J.P.M., 2001. Hyperpycnal plume formation from riverine outflows with small sediment concentration, Sedimentology, 48, 465-478. pdf Hancock, M.J. and Bush, J.W.M., Fluid Pipes, 2002. J. Fluid Mech. , 466, 285-304. pdf Hasha, A. E. and Bush, J.W.M., 2002. Fluid fishbones, Gallery of Fluid Motion, Physics of Fluids ,14 (9). pdf Flor, J.-B., Ungarish, M. and Bush, J.W.M., 2002. Spin-up from rest in a stratified fluid. Part I. Boundary flows, J. Fluid Mech. , 472, 51-82. pdf Bush, J.W.M., Thurber, B. and Blanchette, F., 2003. Particle clouds in homogeneous and stratified ambients, J. Fluid Mech. , 489, 29-54. pdf Bush, J.W.M. and Aristoff, J., 2003. The influence of surface tension on the circular hydraulic jump, J. Fluid Mech. , 489, 229-238. pdf Hu, D. L., Chan, B. and Bush, J.W.M., 2003. The hydrodynamics of water strider locomotion, Nature , 424, 663-666. pdf Hu, D., Chan, B. and Bush, J.W.M., 2003. Water-walking, Gallery of Fluid Motion, Physics of Fluids ,15 (9). pdf Elkins, L., Ausillous, P., Bico, J., Quere, D. and Bush, J.W.M., 2003. A laboratory model of splash-form tektites, Meteoritics and Planetary Science. , 38, 1331-1340. pdf Blanchette, F., Peacock, T. Bush, J.W.M. 2004. The Boycott effect in magma chambers, Geophys. Res. Lett. , 31, L05611 (p. 1-4). pdf Flor, J.-B., Bush, J.W.M. and Ungarish, M., 2004. An experimental investigation of spin-up from rest of a stratified fluid, Geophys. Astrophys. Fluid Dyn. , 98, 277-296. pdf Aristoff, J., Leblanc, J., Hosoi, A.E. and Bush, J.W.M., 2004. Viscous hydraulic jumps, Gallery of Fluid Motion, Physics of Fluids ,16 (9). pdf Bush, J.W.M. and Hasha, A.E., 2004. On the collision of laminar jets: fluids chains and fishbones, J. Fluid. Mech., 511, 285-310. pdf Peacock, T., Blanchette, F. and Bush, J.W.M., 2005. The stratified Boycott effect, J. Fluid Mech. 529, 33-49. pdf Clark, M.K., Bush, J.W.M. and Royden, L.H., 2005. Dynamic topography produced by lower crustal flow against rheologic structure heterogeneities bordering the Tibetan Plateau, Geophys. J. Int. , 162, 575-590. pdf Blanchette, F. and Bush, J.W.M., 2005. Particle concentration evolution and sedimentation-induced instabilities in a stably stratified environment, Physics of Fluids , 17, 073302:1-11. pdf Balmforth, N.J., Bush, J.W.M. and Craster, R.V., 2005. Roll waves on flowing cornstarch suspensions, Physics Letters A , 338, 479-484. pdf Hu, D.L. and Bush, J.W.M., 2005. Meniscus-climbing insects, Nature, 437, 733-736. pdf Hu, D., Mendel, L., Goreau, T., B. Chan and Bush, J.W.M., 2005. Visualization of a fish with Tobacco Mosaic Virus, Gallery of Fluid Motion, Physics of Fluids , 17, 091103-1. pdf Bush, J.W.M., Hosoi, A.E. and Aristoff, J., 2006. An experimental investigation of the circular hydraulic jump, J. Fluid Mech., 558, 33-52. pdf Bush, J.W.M. and Hu, D.L., 2006. Walking on Water: Biolocomotion at the Interface, Annu. Rev. Fluid Mech., 38, 339-369. pdf Aristoff, J., Lieberman, C., Chan, E. and Bush, J.W.M., 2006. Water bell and sheet instabilities, Physics of Fluids, 18, (9), 091109. pdf Stocker, R. and Bush, J.W.M., 2007. Spontaneous oscillations of a sessile lens, J. Fluid Mech., 000, 1-11. pdf Balmforth, N.J., Bush, J.W.M., Vener, D. and Young, W.R., 2007. Dissipative descent: rocking and rolling down an incline,J. Fluid Mech., 590, 295-318. pdf Hu, D.L., Prakash, M., Chan, B. and Bush, J.W.M., 2007. Water-walking devices, Exp. Fluids, DOI 10.1007, 1-10. pdf Prakash, M., Quere, D. and Bush, J.W.M., 2008. Surface Tension Transport of Prey by Feeding Shorebirds: The Capillary Ratchet, Science AAAS, 320, 931-934. pdf Bush, J.W.M., Hu, D.L. and Prakash, M., 2008. The Integument of Water-walking Arthropods: Form and Function, Advances in Insect Physiology, 34, 117-192. pdf Flynn, M.R. and Bush, J. W. M., 2008. Underwater breathing: the mechanics of plastron respiration, J. Fluid Mech, 608, 278-296. pdf Sungyon, L., Bush, J. W. M., Hosoi, A. and Lauga, E., 2008. Crawling beneath the free surface: Water snail locomotion, Physics of Fluids, 20, 082106-1 - 082106-10. pdf Flynn, M.R. and Bush, J.W.M., 2008. Underwater breathing: the mechanics of plastron respiration, J. Fluid Mech. 608, 275-296. pdf Physical Mathematics, on the other hand, is often understood as primarily addressing the second goal even though the two areas do overlap. Some of the fields strongly developed by mathematicians are related to theoretical physics, especially quantum field theories and quantum gravity, such as: TQFT and non-commutative geometry models applied to quantum physics.

Rights:

Open: http://math.mit.edu/research/applied/appliedmath.html

Download:

ADyntpog.pdf

Links:

No messages.