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Developments in Partial Differential Equations and Applications to Mathematical Physics.

**Table of contents**

- Recommended for you
- Developments In Partial Differential Equations and Applications to Mathematical Physics
- Recent trends in Differential Equations (RTDE2016)

The Dirichlet problem in unbounded domains. Method of electrostatic images. Cauchy problem. Energy method and uniqueness.

Domain of dependence and range of influence. Conservation of energy. One-dimensional wave equation. Characteristic parallelogram. Multi-dimensional wave equation. Well posed problems. Kirchhoff formula. Method of descent. Wave propagation in regions with boundaries.

Uniqueness of solution of the initial-boundary value problem. Reflection of waves.

Heat conduction in a finite rod. Maximum principle and applications. Solution of the initial-boundary value problem for the one dimensional heat equation. Method of separation of variables.

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The initial value problem for the one dimensional heat equation. Fundamental solution.

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Heat conduction in more than one space dimension. Assessment Methods and Criteria Written and oral. Bellomo, et al. Biroli, U. D'Ancona, S. De Giorgi. Ninomiya, T. Flows Between Rotating Plates; K. Systems theory, Control and Automation. The idea of the meeting is to get together researchers from two different areas of mathematics, namely Particle Systems and Partial Differential Equations, and to present recent scientific results in both areas.

The primary goal of this conference is to bring together scientists and mathematicians working in partial differential equations and related fields. Contemporary challenges raised by recent advances in engineering, industry, and bio-technology, will be confronted with state-of-the-art mathematical and computational tools in PDE. Some of the topics covered in this meeting can be found in the list of themes below.

Advanced graduate students and young researchers are encouraged to participate. Limited funding is available for graduate students and recent PhDs. Analysis of inverse problems through partial differential equations and related topics.

## Developments In Partial Differential Equations and Applications to Mathematical Physics

Workshop — An approach of ordinary differential equation methods for nonlinear problems. Applications that involve HJ PDEs in a high-dimensional and possibly infinite-dimensional setting lead to challenging computational problems. Although a large literature is available on HJ PDEs, many challenges remain both from a mathematical and computational point of view.

The program will open with one week of tutorials, presented by some of the main organizers. These tutorials will provide an introduction to the major themes of the entire program and connect the themes of the four workshops. The goal is to introduce a common language and build a foundation for the participants of this program who have diverse scientific backgrounds.

During the weeks between workshops, participants in residence will develop collaborations; we expect fruitful discussions especially between domain scientists, algorithm developers and pure and applied mathematicians.

## Recent trends in Differential Equations (RTDE2016)

The SouthEastern Analysis Meeting has been established as one of the principal annual events bringing together seasoned scholars and junior researchers to discuss various areas of analysis, including functional analysis, operator theory, complex analysis, harmonic analysis, and their applications. Event listing ID:. Numerical Analysis and Computational Mathematics. Ideas to be explored in the workshop include different computational methodologies for efficient real-time solution of nonlinear HJ equations in reachability, optimal control, and differential games.

Ideas such as efficient reduced-complexity computation of optimal control solutions, exploiting structure to decompose the solution space to scalable computations and reduced-complexity feedback structures for efficient implementation of optimal controllers based on available data will be considered.

Periods, Motives and Differential equations: between Arithmetic and Geometry. This workshop will bring together researchers with background in PDEs, Inverse Problems, and Scientific Computing who are already working in machine learning, along with researchers who are interested in these approaches.

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We propose to organize a week-long workshop on Mean Field Games MFG and Applications for which we have a number of goals: i to gather together leading researchers in MFG and certain cognate areas economics, optimal transportation, finite dimensional Hamilton-Jacobi equations, Stochastic equations, applied control, numerics. This week-long workshop on Mean Field Games MFG and Applications for has a number of goals: i to gather together leading researchers in MFG and certain cognate areas economics, optimal transportation, finite dimensional Hamilton-Jacobi equations, Stochastic equations, applied control, numerics.

In spite of its flexibility, computing nonlinear problems in random media is very expensive.