# Research Seminar Series

### Applied Mathematics Seminars

## Applied Mathematics Seminars: Homogenisation and continuous dependence of solutions of pdes on the coefficients

13 October 2017 14:00 in *CM219*

In the setting of so-called evolutionary equations invented by Rainer Picard in 2009 we identify homogenisation problems as being equivalent to a certain type of a continuity property of solution operators. Indeed, it can be shown that $G$-convergence of matrix-coefficients is equivalent to convergence of certain inverses in the weak operator topology. With this, one can show various homogenisation results for a wide class of standard linear equations in mathematical physics. Furthermore, the genericity of memory effects to arise due to the homogenisation process in the context Maxwell's equations can be explained by operator-theoretic means.

Contact david.bourne@durham.ac.uk for more information

This seminar series is the continuation of the Numerical Analysis Seminar series that ran until August 2016. This change of name reflects the broader interests of the Applied Mathematics group (note that the Mathematical and Theoretical Particle Physics group also has a seminar series).

### Arithmetic Study Group

## Applied Mathematics Seminars: Homogenisation and continuous dependence of solutions of pdes on the coefficients

13 October 2017 14:00 in *CM219*

In the setting of so-called evolutionary equations invented by Rainer Picard in 2009 we identify homogenisation problems as being equivalent to a certain type of a continuity property of solution operators. Indeed, it can be shown that $G$-convergence of matrix-coefficients is equivalent to convergence of certain inverses in the weak operator topology. With this, one can show various homogenisation results for a wide class of standard linear equations in mathematical physics. Furthermore, the genericity of memory effects to arise due to the homogenisation process in the context Maxwell's equations can be explained by operator-theoretic means.

Contact david.bourne@durham.ac.uk for more information

This seminar series is the continuation of the Numerical Analysis Seminar series that ran until August 2016. This change of name reflects the broader interests of the Applied Mathematics group (note that the Mathematical and Theoretical Particle Physics group also has a seminar series).

### Centre for Particle Theory Colloquia

## Applied Mathematics Seminars: Homogenisation and continuous dependence of solutions of pdes on the coefficients

13 October 2017 14:00 in *CM219*

In the setting of so-called evolutionary equations invented by Rainer Picard in 2009 we identify homogenisation problems as being equivalent to a certain type of a continuity property of solution operators. Indeed, it can be shown that $G$-convergence of matrix-coefficients is equivalent to convergence of certain inverses in the weak operator topology. With this, one can show various homogenisation results for a wide class of standard linear equations in mathematical physics. Furthermore, the genericity of memory effects to arise due to the homogenisation process in the context Maxwell's equations can be explained by operator-theoretic means.

Contact david.bourne@durham.ac.uk for more information

This seminar series is the continuation of the Numerical Analysis Seminar series that ran until August 2016. This change of name reflects the broader interests of the Applied Mathematics group (note that the Mathematical and Theoretical Particle Physics group also has a seminar series).

### Computing Seminars/Talks

13 October 2017 14:00 in *CM219*

Contact david.bourne@durham.ac.uk for more information

### CPT Student Seminar

13 October 2017 14:00 in *CM219*

Contact david.bourne@durham.ac.uk for more information

### Departmental Research Colloquium

13 October 2017 14:00 in *CM219*

Contact david.bourne@durham.ac.uk for more information

### Distinguished Lectures and Public Lectures

13 October 2017 14:00 in *CM219*

Contact david.bourne@durham.ac.uk for more information

### Geometry and Topology Seminar

13 October 2017 14:00 in *CM219*

Contact david.bourne@durham.ac.uk for more information

### Informal HEP Journal club

13 October 2017 14:00 in *CM219*

Contact david.bourne@durham.ac.uk for more information

### Maths HEP Lunchtime Seminars

13 October 2017 14:00 in *CM219*

Contact david.bourne@durham.ac.uk for more information

### Pure Maths Colloquium

13 October 2017 14:00 in *CM219*

Contact david.bourne@durham.ac.uk for more information

### Statistics Seminars

13 October 2017 14:00 in *CM219*

Contact david.bourne@durham.ac.uk for more information

### Stats4Grads

13 October 2017 14:00 in *CM219*

Contact david.bourne@durham.ac.uk for more information

Information about seminars for the current academic year. For information on previous years' seminars please see the seminar archives pages.