Mixed-dimensional models for real-world applications

Snapshots of modern mathematics from Oberwolfach

Mixed-dimensional models for real-world applications

We explore mathematical models for physical problems in which it is necessary to simultaneously consider equations in different dimensions; these are called mixed-dimensional models. We first give several examples, and then an overview of recent progress made towards finding a general method of solution of such problems.

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Mathematical subjects

Numerics and Scientific Computing

Connections to other fields

Chemistry and Earth Science
Engineering and Technology

Author(s)

Jan Martin Nordbotten

License

DOI (Digital Object Identifier)

10.14760/SNAP-2019-014-EN

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snapshots-2019-014.pdf

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snapshots: overview

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The periodic tables of algebraic geometry
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Patterns and waves in theory, experiment, and application
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Closed geodesics on surfaces
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Characterizations of intrinsic volumes on convex bodies and convex functions
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Reflections on hyperbolic space
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Molecular quantum dynamics
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Closed geodesics on surfaces and Riemannian manifolds
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Aperiodic Order and Spectral Properties
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Towards a Mathematical Theory of Turbulence in Fluids
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Prime Tuples in Function Fields
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Quantum diffusion
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The ternary Goldbach Problem
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Matrixfaktorisierungen
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Dirichlet Series

Mathematical subjects

Algebra and Number Theory
Analysis
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

Connections to other fields

Chemistry and Earth Science
Computer Science
Engineering and Technology
Finance
Humanities and Social Sciences
Life Science
Physics
Reflections on Mathematics

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