partial differential equation
https://plus.maths.org/content/taxonomy/term/522
enKelvin's bubble burst again
https://plus.maths.org/content/kelvins-bubble-burst-again
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A new foam with medical potential </div>
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<div class="pub_date">24/09/2009</div>
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<div style="position: relative; left: 50%; width: 70%"><font size="2"><i>Back to the <a href="https://plus.maths.org/content/do-you-know-whats-good-you-maths-next-microscope">Next microscope package </a><br>Back to the <a href="https://plus.maths.org/content/do-you-know-whats-good-you-0">Do you know what's good for you package</a>
<p><a href="https://plus.maths.org/content/kelvins-bubble-burst-again" target="_blank">read more</a></p>https://plus.maths.org/content/kelvins-bubble-burst-again#commentsbubbledifferential equationkelvin's problemmedicine and healthminimal surfacepacking problemspartial differential equationWed, 23 Sep 2009 23:00:00 +0000plusadmin2820 at https://plus.maths.org/contentRestoring profanity
https://plus.maths.org/content/restoring-profanity
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Carola Schönlieb </div>
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In 1979 decorating work in a house in Vienna revealed a set of medieval frescoes depicting a cycle of songs by a 13th century poet, who was particularly fond of satirising the erotic relationships between knights and peasant maidens. The frescoes are of great historical significance, but they are badly damaged. In this article <b>Carola Schönlieb</b> explores how mathematicians use the heat
equation to fill in the gaps. </div>
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<div class="pub_date">March 2009</div>
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<p>In the late 14th century Michel Menschein, a wealthy Viennese cloth merchant, commissioned local artists to paint a series of frescoes on the walls of his banqueting hall. The paintings depicted a cycle of songs by <a href="http://en.wikipedia.org/wiki/Neidhart_von_Reuental">Neidhart von Reuental</a>, a 13th century <i>minnesinger</i>, who was particularly fond of satirising the erotic
relationships between knights and peasant maidens.<p><a href="https://plus.maths.org/content/restoring-profanity" target="_blank">read more</a></p>https://plus.maths.org/content/restoring-profanity#comments50CMSdifferential equationdigital photographyImage analysismathematics and artpartial differential equationSun, 01 Mar 2009 00:00:00 +0000plusadmin2355 at https://plus.maths.org/contentUniversal pictures
https://plus.maths.org/content/universal-pictures
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Marianne Freiberger </div>
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<b>Peter Markowich</b> is a mathematician who likes to take pictures. At first his two interests seemed completely separate to him, but then he realised that behind every picture there is a mathematical story to tell. <i>Plus</i> went to see him to find out more, and ended up with a pictorial introduction to partial differential equations. </div>
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<div class="pub_date">September 2008</div>
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<p><i>Beautiful photography is not what you usually find on a mathematician's website, but this is just what Plus recently came across while idly browsing the Web. Intrigued, we went to see the website's owner, and ended up with an introduction to some high-powered mathematics through the means of pictures.</i></p>
<p><i>Parts of this interview are also available as a <a href="/podcasts/PlusPodcastSept08.mp3">podcast</a>.</i></p><p><a href="https://plus.maths.org/content/universal-pictures" target="_blank">read more</a></p>https://plus.maths.org/content/universal-pictures#comments48Alan Turinganimal patterningBoltzmann equationCMSdifferential equationmathematics and artnavier-stokes equationsoptimal transportationpartial differential equationreaction-diffusion equationsSun, 31 Aug 2008 23:00:00 +0000plusadmin2343 at https://plus.maths.org/contentCareer interview: Systems engineer
https://plus.maths.org/content/career-interview-systems-engineer
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Marianne Freiberger </div>
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<div class="pub_date">September 2008</div>
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<div style="position: relative; left: 50%; width: 70%"><font size="2"><i>Back to the <a href="https://plus.maths.org/content/ingenious-constructing-our-lives">Constructing our lives package</a></i></font></div><br clear="all">
<p><i>A version of this interview is also available as a <a href="/podcasts/PlusCareersPodcastSep08.mp3">podcast</a>.</i></p><p><a href="https://plus.maths.org/content/career-interview-systems-engineer" target="_blank">read more</a></p>https://plus.maths.org/content/career-interview-systems-engineer#comments48aerodynamicscareer interviewdifferential equationellipseengineeringheat diffusion equationKepler's three laws of planetary motionmathematical modellingpartial differential equationphysicssatelliteScience & Engineeringspace explorationstatisticsuncertaintySun, 31 Aug 2008 23:00:00 +0000plusadmin2437 at https://plus.maths.org/contentCareer interview: Financial Engineer
https://plus.maths.org/content/career-interview-financial-engineer
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Marc West </div>
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<div class="pub_date">March 2008</div>
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<p>"I was one of the lucky people," said Rupa Patel, reflecting on her childhood. "I knew I liked maths from a very early age."</p>
<p>For Rupa, maths was never hard work — indeed, it was something that she always enjoyed doing.</p>
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<p>Rupa Patel</p><p><a href="https://plus.maths.org/content/career-interview-financial-engineer" target="_blank">read more</a></p>https://plus.maths.org/content/career-interview-financial-engineer#comments46Business & Moneycareer interviewconfidence intervaldifferential equationfinancial mathematicsfinancial modellingmathematical modellingpartial differential equationrisk analysisuncertaintySat, 01 Mar 2008 00:00:00 +0000plusadmin2435 at https://plus.maths.org/contentCareer interview: Project finance consultant
https://plus.maths.org/content/career-interview-project-finance-consultant
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Helen Joyce </div>
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<div class="pub_date">March 2005</div>
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<p><i>With a degree in astrophysics from University College London and a Masters in Applied Finance from Macquarie University, Sydney, as well as experience in consultancy and banking on both sides of the world, Nick Crawley has recently set up his own financial consultancy in Sydney, Australia.<p><a href="https://plus.maths.org/content/career-interview-project-finance-consultant" target="_blank">read more</a></p>https://plus.maths.org/content/career-interview-project-finance-consultant#comments34Black-Scholes equationBusiness & Moneycareer interviewheat diffusion equationpartial differential equationproject financeTue, 01 Mar 2005 00:00:00 +0000plusadmin2421 at https://plus.maths.org/contentHow the leopard got its spots
https://plus.maths.org/content/how-leopard-got-its-spots
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Lewis Dartnell </div>
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<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/issue30/features/dartnell/icon.jpg?1083366000" /> </div>
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How does the uniform ball of cells that make up an embryo differentiate to create the dramatic patterns of a zebra or leopard? How come there are spotty animals with stripy tails, but no stripy animals with spotty tails? <b>Lewis Dartnell</b> solves these, and other, puzzles of animal patterning. </div>
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<div class="pub_date">May 2004</div>
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<h2>Some Just So stories of animal patterning</h2>
<p><i>Alan Turing is considered to be one of the most brilliant mathematicians of the last century. He helped crack the German Enigma code during the Second World War and laid the foundations for the digital computer. His only foray into mathematical biology produced a paper so insightful that it is still regularly cited today, over 50 years since it was published.</i></p>
<p align="center"></p><p><a href="https://plus.maths.org/content/how-leopard-got-its-spots" target="_blank">read more</a></p>https://plus.maths.org/content/how-leopard-got-its-spots#comments30Alan Turinganimal patterningdifferential equationdiffusionmorphogenesispartial differential equationpartial differentiationperturbationreaction-diffusion equationssaturationthresholdFri, 30 Apr 2004 23:00:00 +0000plusadmin2246 at https://plus.maths.org/contentCareer interview: Fluid mechanics researcher
https://plus.maths.org/content/career-interview-fluid-mechanics-researcher
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Helen Joyce </div>
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<img class="imagefield imagefield-field_abs_img" width="100" height="100" alt="" src="https://plus.maths.org/content/sites/plus.maths.org/files/issue30/interview/icon.jpg?1083366000" /> </div>
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<div class="pub_date">May 2004</div>
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<div style="position: relative; left: 50%; width: 70%"><font size="2"><i>Back to the <a href="https://plus.maths.org/content/ingenious-constructing-our-lives">Constructing our lives package</a></i></font></div><br clear="all">
<p><i>André Léger is currently finishing an industrial PhD, part-funded by Unilever, on the fluid dynamics of the human intestine at the University of Bath. He tells Plus about the joys of working in an interdisciplinary field.</i></p>
<h2>Healthy eating: a healthy business</h2>
<p><!-- FILE: include/rightfig.html --></p><p><a href="https://plus.maths.org/content/career-interview-fluid-mechanics-researcher" target="_blank">read more</a></p>https://plus.maths.org/content/career-interview-fluid-mechanics-researcher#comments30career interviewchemical engineeringdifferential equationHealth & SocietyIndustrial mathematicsmathematical modellingpartial differential equationScience & EngineeringFri, 30 Apr 2004 23:00:00 +0000plusadmin2417 at https://plus.maths.org/contentGoing with the flow
https://plus.maths.org/content/going-flow
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Herbert Huppert </div>
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Fluid mechanics is the study of flows in both liquids and gases, and is therefore enormously important in understanding many natural phenomena, as well as in industrial applications. Geophysicist <b>Herbert Huppert</b> tells us what happens when two fluids of different densities meet, for example when volcanos erupt and hot ash-laden air is poured out into the atmosphere. </div>
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<div class="pub_date">May 2002</div>
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<h2>What is fluid mechanics?</h2>
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<p>St Helens erupting in 1980. Picture from <a href="http://www.usgs.gov/">US Geological Survey</a></p><p><a href="https://plus.maths.org/content/going-flow" target="_blank">read more</a></p>https://plus.maths.org/content/going-flow#comments20accelerationdifferential equationgranular flowgravitycurrentpartial differential equationparticle-laden gravity currentpyroclastic flowturbidity flowvolcanic eruptionTue, 30 Apr 2002 23:00:00 +0000plusadmin2206 at https://plus.maths.org/content