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Blow-up problems in nonlinear Volterra equations

The department of Mathematics and Statistics at the University of Limerick invites you to a seminar by Denis Patterson (Dublin City University):

Title:  Blow-up problems in nonlinear Volterra equations

Abstract: Blow-up problems in nonlinear Volterra equations Nonlinear Volterra equations arise in a wide variety of contexts in applied mathematics and their connections to parabolic PDEs led to the development of a rich literature regarding the finite-time blow-up of solutions. Research on such blow--up problems has sought to answer three central questions: when do solutions explode, at what time do solutions explode, and what is the asymptotic behaviour of solutions at blow-up? This talk will focus on answering the final question; in particular, I will discuss the estimation of growth rates of explosive and unbounded solutions for general nonlinearities and non-singular kernels.

This is joint work with John Appleby (DCU) and is supported by the Irish Research Council under the grant GOIPG/2013/402.

This seminar will take place on Friday , March 31st  , at 4pm, in  Room A2-002.

If you have any questions regarding this seminar, please direct them to Iain Moyles (061 233726, iain.moyles@ul.ie).

A full list of upcoming seminars can be found at https://ulsites.ul.ie/macsi/node/48011

Supported by Science Foundation Ireland funding, MACSI - the Mathematics Applications Consortium for Science and Industry (www.macsi.ul.ie), centred at the University of Limerick, is dedicated to the mathematical modelling and solution of problems which arise in science, engineering and industry in Ireland.

 

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