Title
Viscous Fingering in Mathematical Fluid Dynamics via Bifurcation: A Functional Analytic Approach,Used
Sold by Ergodebooks, an authorized reseller.
Returns accepted within 30 days | support@ergodebooks.com
Shipping Information
- Free Standard Shipping — United States only
- Processing Time: 1–3 business days
- Estimated Delivery: 3–5 business days after dispatch
- Double-boxed, fully insured & discreetly packaged
- Tracking number sent via email once dispatched
- Orders over $250 require signature upon delivery. Taxes calculated at checkout.
Returns & Refund
Returns accepted within 30 days of delivery.
Damaged or Defective Item
Free return shipping + replacement or full refund
Wrong Item Received
Free return shipping + replacement or full refund
Change of Mind
Return shipping at customer's expense · 25% restocking fee applies
Payment Option
Fingering patterns are complex phenomena which arise at the interface between two fluids or between fluid and air. We consider in the present work two different situations which arise in the mathematical fluids dynamics and which are related to fingering. We analyse first the onephase flow of a ferrofluid in a HeleShaw cell which rotates with constant angular velocity in the horizontal plane. The dynamic of the nonNewtonian liquid is stabilised by a radial magnetic field, which counteracts the action of the centrifugal force. In the second part of this work we consider as a new feature the Muskat problem in periodic setting. This problem describes the evolution of two fluids in a porous medium this time with impermeable bottom. We have to handle in both cases moving boundary problems since the interface separating the fluids or the fluid from air is a priori unknown. We prove existence and uniqueness of classical solutions by using the theory of abstract parabolic equations and Newton's iteration method, respectively, and, as a further common characteristic, we show using bifurcation theory, the existence of finger shaped steadystate solutions for both problems.
⚠️ WARNING (California Proposition 65):
This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.
For more information, please visit www.P65Warnings.ca.gov.