Zobrazeno 1 - 10 of 18 pro vyhledávání: '"SAMUEL M. RANKIN"'
3
Numerical and Asymptotic Solutions for Peristaltic Motion of Nonlinear Viscous Flows with Elastic Free Boundaries
Autor: Samuel M Rankin, Dalin Tang
Publikováno v: SIAM Journal on Scientific Computing. 14:1300-1319
A mathematical model for peristaltic motion of nonlinear viscous flows with elastic free boundaries is introduced. An iterative numerical method is used to solve the free boundary problem. Long wave asymptotic expansion is developed and the zeroth or
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::83ab33b37c90cf71ad866fb6e95f83ea
https://doi.org/10.1137/0914077
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4
Peristaltic Transport of a heat-conducting viscous fluid as an application of abstract differential equations and semigroup of operators
Autor: Samuel M Rankin, Dalin Tang
Publikováno v: Journal of Mathematical Analysis and Applications. 169(2):391-407
A recent abstract result of Rankin ( Trans. Amer. Math. Soc. , to appear) is applied to the peristaltic transport of a heat-conducting fluid in a flexible tube. The Oberbeck-Boussinesq equations are used as the governing equations, a pressure drop ov
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c5e86ec751c9388e8124ebedb4b6924
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8
Semilinear Evolution Equations in Banach Spaces with Application to Parabolic Partial Differential Equations
Autor: Samuel M. Rankin
Publikováno v: Transactions of the American Mathematical Society. 336:523
A theory for a class of semilinear evolution equations in Banach spaces is developed which when applied to certain parabolic partial differential equations with nonlinear terms in divergence form gives strong solutions even for nondifferentiable data
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e77d2447b532ed3e19b2d5dcc6d85e3
https://doi.org/10.2307/2154361
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9
A semilinear parabolic Volterra integrodifferential equation
Autor: Samuel M Rankin, Melvin L Heard
Publikováno v: Journal of Differential Equations. 71:201-233
We consider the semilinear Volterra integrodifferential equation u′ (t) + A(t)u(t) = ∫ t 0 t a(t,s) g(s, u(s))ds + ƒ(t, u(t)), t ⩾ t 0 u(t 0 = u 0 We assume that for each t ⩾ 0, the linear operator A(t) is the negative generator of an analyt
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00469a9d6b8ea39eb7a5b4bd19792b85
https://doi.org/10.1016/0022-0396(88)90023-x
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