Interdisciplinary Applied Mathematics

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model, 159 number, 2, 16, 61 paradox, 24


Krylov subspace method, 693


lab-on-a-chip, 268, 278, 334, 737 Lamb vector, 344 Lanczos method, 693 Langevin dynamics, 477, 479, 650 Laplace-Young equation, 312 Lattice-Boltzmann method, 607 lattice-Boltzmann method, 539 layering phenomenon, 9 LB-BGK equation of motion, 611 LBM


entropic form, 187, 617 Lees-Edwards boundary conditions, 614


Lennard-Jones potential, 9, 10, 365, 626


van der Waals forces, 317 LIGA, 1


linearization of Euler equations, 515


linearized Boltzmann equation, 591


Liouville equation, 14


lipid bilayers, 491


Lippmann equation, 327


liquid flows, 30


liquids


granular, 9 layering, 32


monolayer spreading, 32 Poiseuille law, 24


local average density method, 374 long-range potentials, 630 Lord Rayleigh, 311 lubrication, 539, 552, 554


theory hydrophobic surfaces, 399 lumped parameter modeling, 677 Lyapunov exponent, 345, 355 finite-time, 355


Mach number, 61 macromodeling, 39, 673 magnetorheological fluids (MR), 473 Marangoni traction, 337 Marshak condition, 569 Maxwell demon, 649 Maxwell’s scattering kernel, 586 Maxwellian distribution, 57, 585, 587, 592


MD, see molecular dynamics method error estimation, 641 practical guidelines, 642 MD coupling, 644


flux-exchange method, 645 hybrid method, 645 Maxwell demon method, 645 relaxation method, 644 mean free path, 13, 14 air, 18


mean molecular spacing, 14 mean thermal speed, 68, 152 mean-square molecular speed, 15 mechanical admittance, 210 MEDUSA, 41 MEMS, 2, 38


classical papers, 24 electrostatics, 56 Feynman, 24 flow regimes, 1 pioneers, 24 meshless method, 527


boundary-only, 528, 533 interior, 528


method of moments, 589 micro-PIV, 255 microbellow mechanisms, 269 microcomb drive, 197 microfilters, 227, 571, 574 drag force, 232 DSMC modeling, 234


effect of channel length, 236 effects of accommodation coefficients, 238


flowrate comparisons, 237 scaling laws, 228, 229, 232 viscous heating, 234 micromirrors, 196 micromotor, 2, 3, 197 micronozzles, 239

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