# 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

### 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

### 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

### Computing Seminars/Talks

13 October 2017 14:00 in *CM219*

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### CPT Student Seminar

13 October 2017 14:00 in *CM219*

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### Departmental Research Colloquium

13 October 2017 14:00 in *CM219*

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### Distinguished Lectures and Public Lectures

13 October 2017 14:00 in *CM219*

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### Geometry and Topology Seminar

13 October 2017 14:00 in *CM219*

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### Informal HEP Journal club

13 October 2017 14:00 in *CM219*

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### Maths HEP Lunchtime Seminars

13 October 2017 14:00 in *CM219*

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### Pure Maths Colloquium

13 October 2017 14:00 in *CM219*

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### Statistics Seminars

13 October 2017 14:00 in *CM219*

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### Stats4Grads

13 October 2017 14:00 in *CM219*

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