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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
This volume contains the proceedings of the Summer Program on
Nonlinear Conservation Laws and Applications held at the IMA on
July 13--31, 2009. Hyperbolic conservation laws is a classical
subject, which has experienced vigorous growth in recent years. The
present collection provides a timely survey of the state of the art
in this exciting field, and a comprehensive outlook on open
problems. Contributions of more theoretical nature cover the
following topics: global existence and uniqueness theory of
one-dimensional systems, multidimensional conservation laws in
several space variables and approximations of their solutions,
mathematical analysis of fluid motion, stability and dynamics of
viscous shock waves, singular limits for viscous systems, basic
principles in the modeling of turbulent mixing, transonic flows
past an obstacle and a fluid dynamic approach for isometric
embedding in geometry, models of nonlinear elasticity, the Monge
problem, and transport equations with rough coefficients. In
addition, there are a number of papers devoted to applications.
These include: models of blood flow, self-gravitating compressible
fluids, granular flow, charge transport in fluids, and the modeling
and control of traffic flow on networks.
This monograph considers the analytical and geometrical questions
emerging from the study of thin elastic films that exhibit residual
stress at free equilibria. It provides the comprehensive
account, the details and background on the most recent results in
the combined research perspective on the classical themes: in
Differential Geometry – that of isometrically embedding a shape
with a given metric in an ambient space of possibly different
dimension, and in Calculus of Variations – that of minimizing
non-convex energy functionals parametrized by a quantity in whose
limit the functionals become degenerate. Prestressed thin films are
present in many contexts and applications, such as: growing
tissues, plastically strained sheets, engineered swelling or
shrinking gels, petals and leaves of flowers, or atomically thin
graphene layers. While the related questions about the
physical basis for shape formation lie at the intersection of
biology, chemistry and physics, fundamentally they are of the
analytical and geometrical character, and can be tackled using the
techniques of the dimension reduction, laid out in this book. The
text will appeal to mathematicians and graduate students working in
the fields of Analysis, Calculus of Variations, Partial
Differential Equations, and Applied Math. It will also be of
interest to researchers and graduate students in Engineering
(especially fields related to Solid Mechanics and Materials
Science), who would like to gain the modern mathematical insight
and learn the necessary tools.
This volume highlights contributions of women mathematicians in the
study of complex materials and includes both original research
papers and reviews. The featured topics and methods draw on the
fields of Calculus of Variations, Partial Differential Equations,
Functional Analysis, Differential Geometry and Topology, as well as
Numerical Analysis and Mathematical Modelling. Areas of
applications include foams, fluid-solid interactions, liquid
crystals, shape-memory alloys, magnetic suspensions, failure in
solids, plasticity, viscoelasticity, homogenization,
crystallization, grain growth, and phase-field models.
This volume contains the proceedings of the Summer Program on
Nonlinear Conservation Laws and Applications held at the IMA on
July 13--31, 2009. Hyperbolic conservation laws is a classical
subject, which has experienced vigorous growth in recent years. The
present collection provides a timely survey of the state of the art
in this exciting field, and a comprehensive outlook on open
problems. Contributions of more theoretical nature cover the
following topics: global existence and uniqueness theory of
one-dimensional systems, multidimensional conservation laws in
several space variables and approximations of their solutions,
mathematical analysis of fluid motion, stability and dynamics of
viscous shock waves, singular limits for viscous systems, basic
principles in the modeling of turbulent mixing, transonic flows
past an obstacle and a fluid dynamic approach for isometric
embedding in geometry, models of nonlinear elasticity, the Monge
problem, and transport equations with rough coefficients. In
addition, there are a number of papers devoted to applications.
These include: models of blood flow, self-gravitating compressible
fluids, granular flow, charge transport in fluids, and the modeling
and control of traffic flow on networks.
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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
This graduate textbook provides a detailed introduction to the
probabilistic interpretation of nonlinear potential theory, relying
on the recently introduced notion of tug-of-war games with
noise.The book explores both basic and more advanced constructions,
carefully explaining the parallel between linear and nonlinear
cases. The presentation is self-contained with many exercises,
making the book suitable as a textbook for a graduate course, as
well as for self-study. Extensive background and auxiliary material
allow the tailoring of courses to individual student levels.
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