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Advances in Mathematical Sciences - AWM Research Symposium, Houston, TX, April 2019 (Hardcover, 1st ed. 2020)
Bahar Acu, Donatella Danielli, Marta Lewicka, Arati Pati, Saraswathy RV, …
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R1,657
Discovery Miles 16 570
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Ships in 12 - 17 working days
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This volume highlights the mathematical research presented at the
2019 Association for Women in Mathematics (AWM) Research Symposium
held at Rice University, April 6-7, 2019. The symposium showcased
research from women across the mathematical sciences working in
academia, government, and industry, as well as featured women
across the career spectrum: undergraduates, graduate students,
postdocs, and professionals. The book is divided into eight parts,
opening with a plenary talk and followed by a combination of
research paper contributions and survey papers in the different
areas of mathematics represented at the symposium: algebraic
combinatorics and graph theory algebraic biology commutative
algebra analysis, probability, and PDEs topology applied
mathematics mathematics education
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Advances in Mathematical Sciences - AWM Research Symposium, Houston, TX, April 2019 (Paperback, 1st ed. 2020)
Bahar Acu, Donatella Danielli, Marta Lewicka, Arati Pati, Saraswathy RV, …
|
R1,523
Discovery Miles 15 230
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Out of stock
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This volume highlights the mathematical research presented at the
2019 Association for Women in Mathematics (AWM) Research Symposium
held at Rice University, April 6-7, 2019. The symposium showcased
research from women across the mathematical sciences working in
academia, government, and industry, as well as featured women
across the career spectrum: undergraduates, graduate students,
postdocs, and professionals. The book is divided into eight parts,
opening with a plenary talk and followed by a combination of
research paper contributions and survey papers in the different
areas of mathematics represented at the symposium: algebraic
combinatorics and graph theory algebraic biology commutative
algebra analysis, probability, and PDEs topology applied
mathematics mathematics education
Despite the improved design of biological and Mechanical Heart
Valves (MHV), thrombus formation remains a challenge in clinical
practice. Abnormal blood flow through the foreign valve components
is recognized as the greatest limitation. An important aspect of
MHV selection and design lies in the understanding of the
fundamental principles that govern the complex dynamical
interactions between blood and valve. Therefore, a novel approach
has been adopted to predict the valve movement by utilizing the
fluid-structure interaction model which is innovative and
fundamentally distinct from the prevailing methods of simulation
that assume valve movement a priori. Based on a fictitious domain
method and an operator splitting scheme, a mathematical formulation
has been outlined for a fluid-structure model. Numerical
simulations are performed for non-moving and moving rigid bodies to
visualize the flow field. Simulations have also extended to rigid
rectangular flaps following a rotational movement about fixed
points in an unsteady flow as an initial attempt to model a 2D MHV.
The study should be helpful to educators and professionals in the
field of industrial and biological applications.
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