Phys.org news tagged with:partial differential equations
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en-usPhys.org internet news portal provides the latest news on science including: Physics, Nanotechnology, Life Sciences, Space Science, Earth Science, Environment, Health and Medicine.New mathematical model to explain the correlation between migration and living standardsScientists from the Peoples' Friendship University of Russia (RUDN), Centre National de la Recherche Scientific (France) and the University of Leicester (United Kingdom) have shown how the wealth of a country relates to its migration rates. A new mathematical model forms the basis for future research in this field. The study was published in Nonlinear Analysis. The results were presented at the VIII International Conference on Differential and Functional Differential Equations DFDE-2017 held on August 13-20 in the PFUR.
https://phys.org/news/2017-09-mathematical-migration-standards.html
Mathematics Tue, 26 Sep 2017 05:34:33 ESTnews425622862The extraordinary return of sea otters to Glacier BayHuman beings have a long history of persecuting apex predators such as wolves, tigers and leopards. The loss of these predators – animals at the top of the food chain – has resulted in ecological, economic and social impacts around the globe. Rarely do the predators fully recover from human oppression, and, when they do, we often lack data or tools to assess their recovery.
https://phys.org/news/2017-04-extraordinary-sea-otters-glacier-bay.html
Environment Thu, 20 Apr 2017 08:40:03 ESTnews411893129Differential equations and the role of coincidenceIn a project funded by the Austrian Science Fund FWF, a team directed by mathematician Erika Hausenblas is investigating how the pressure of flowing liquids can be described when taking into account random perturbations.
https://phys.org/news/2017-03-differential-equations-role-coincidence.html
Mathematics Mon, 13 Mar 2017 07:50:01 ESTnews408609187Mathematicians bring ocean to life for Disney's 'Moana'UCLA mathematics professor Joseph Teran, a Walt Disney consultant on animated movies since 2007, is under no illusion that artists want lengthy mathematics lessons, but many of them realize that the success of animated movies often depends on advanced mathematics.
https://phys.org/news/2017-01-mathematicians-ocean-life-disney-moana.html
Mathematics Wed, 04 Jan 2017 07:17:19 ESTnews402736607Investigating how droplets move around on a surface shows us why it is important to set boundary conditionsNot everyone ponders sets of partial differential equations when watching droplets slide down a window on a rainy day, but, thanks to new research from A*STAR, those who are so inclined now have what they need to construct a robust physical and mathematical explanation of what they see.
https://phys.org/news/2015-11-droplets-surface-important-boundary-conditions.html
Condensed Matter Wed, 18 Nov 2015 07:24:05 ESTnews367053836Princeton honors memory of 'Mind' mathematician John NashPrinceton University said farewell to late mathematician and faculty member John Nash, whose life and battle with schizophrenia were chronicled in the Russell Crowe movie "A Beautiful Mind," with a day of remembrance events and a panel discussion about him on Saturday.
https://phys.org/news/2015-10-princeton-honors-memory-mind-mathematician.html
Mathematics Sun, 25 Oct 2015 05:10:22 ESTnews364968607Princeton honoring memory of mathematician John NashFive months after his remarkable life ended in a crash on a New Jersey highway, Princeton University is paying tribute to John Nash, the Nobel Prize-winning mathematician remembered by colleagues for his brilliance and by millions for the Hollywood movie about him.
https://phys.org/news/2015-10-princeton-honoring-memory-mathematician-john.html
Mathematics Sun, 18 Oct 2015 15:54:06 ESTnews364402439Crunching numbers: Math equations help build optimal bird wingIf you had to design a bird or dolphin drone from scratch, how would you build the wings?
https://phys.org/news/2015-09-crunching-math-equations-optimal-bird.html
General Physics Mon, 28 Sep 2015 16:26:59 ESTnews362676411Mathematicians formulate equations, bend light and figure out how to hide thingsThe idea of cloaking and rendering something invisible hit the small screen in 1966 when a Romulan Bird of Prey made an unseen, surprise attack on the Starship Enterprise on Star Trek. Not only did it make for a good storyline, it likely inspired budding scientists, offering a window of technology's potential.
https://phys.org/news/2015-06-mathematicians-equations-figure.html
Mathematics Mon, 22 Jun 2015 06:48:39 ESTnews354174504Ants' movements hide mathematical patternsWhen ants go exploring in search of food they end up choosing collective routes that fit statistical distributions of probability. This has been demonstrated by a team of mathematicians after analysing the trails of a species of Argentine ant. Studies like this could be applied to coordinate the movement of micro-robots in cleaning contaminated areas for example.
https://phys.org/news/2015-05-ants-movements-mathematical-patterns.html
Mathematics Tue, 12 May 2015 10:32:27 ESTnews350645539Engineers develop new methods to speed up simulations in computational grand challengeEngineers at the University of California, San Diego, have developed a new family of methods to significantly increase the speed of time-resolved numerical simulations in computational grand challenge problems. Such problems often arise from the high-resolution approximation of the partial differential equations governing complex flows of fluids or plasmas. The breakthrough could be applied to simulations that include millions or billions of variables, including turbulence simulations.
https://phys.org/news/2015-03-methods-simulations-grand.html
General Physics Thu, 26 Mar 2015 14:50:02 ESTnews346599456American mathematicians Nash, Nirenberg win Abel math prizeAmerican mathematicians John F. Nash Jr. and Louis Nirenberg have won this year's Abel Prize in mathematics.
https://phys.org/news/2015-03-american-mathematicians-nash-nirenberg-abel.html
Mathematics Wed, 25 Mar 2015 08:39:14 ESTnews346491547Optimized application of high intensity focused ultrasoundThe field of nonlinear acoustics is currently receiving a lot of attention, thanks to applications focused on the improvement of ultrasonic cleaning, ultrasonic welding, sonochemistry, or thermotherapy. Lithotripsy – the demolition of kidney stones based on the use of high intensity focused ultrasound – represents a further medical field of application.
https://phys.org/news/2015-02-optimized-application-high-intensity-focused.html
Mathematics Tue, 10 Feb 2015 09:30:06 ESTnews342782154Heat distributions help researchers to understand curved spaceThe heat equation is one of the most important partial differential equations. The behavior of the solution to the equation reflects the geometry of the underlying space very well. Therefore, this equation has been investigated very extensively in both analysis and geometry. The solution evolves over time so that the Dirichlet's energy functional decreases most efficiently. Recently, F. Otto introduced another characterization: the solution evolves so that the Boltzmann entropy increases most efficiently from the viewpoint of optimal transportation. Both of these characterizations enable us to study the heat equation on spaces admitting singularities, where usual differential calculus does not work. However, their identification in such spaces is unknown.
https://phys.org/news/2014-08-space.html
Mathematics Tue, 26 Aug 2014 07:50:06 ESTnews328255083The brain could be key to a better computerYour brain is incredibly well-suited to handling whatever comes along, plus it's tough and operates on little energy. Those attributes—dealing with real-world situations, resiliency and energy efficiency—are precisely what might be possible with neuro-inspired computing.
https://phys.org/news/2014-05-brain-key.html
Computer Sciences Thu, 15 May 2014 08:40:01 ESTnews319361126Light knots: Physicists use Maxwell's equations to describe field lines that encode torus knots and links(Phys.org) —A team of physicists, two from the U.S., and one each from Poland and Spain has used Maxwell's equations to describe field lines that encode all torus knots and links. As they describe in their paper published in the journal Physical Review Letters, the result of using the equations could lead to a method of creating light in the real world that can be tied into knots.
https://phys.org/news/2013-10-physicists-maxwell-equations-field-lines.html
General Physics Fri, 18 Oct 2013 08:15:37 ESTnews301302916The secret lives of bubbles: Mathematicians describe evolution, dissolution of clusters of bubbles (w/ video)Bubble baths and soapy dishwater, the refreshing head on a beer and the luscious froth on a cappuccino. All are foams, beautiful yet ephemeral as the bubbles pop one by one.
https://phys.org/news/2013-05-secret-mathematicians-evolution-dissolution-clusters.html
Mathematics Thu, 09 May 2013 14:00:08 ESTnews287313104Biophysicists model the behavior of a protein critical to cell motion(Phys.org) -- Physicists at Lehigh have created a mathematical model that could benefit researchers who study cell motion, including cancerous cell motion, tissue healing processes and human embryonic development.
https://phys.org/news/2012-07-biophysicists-behavior-protein-critical-cell.html
General Physics Mon, 16 Jul 2012 04:55:14 ESTnews261633305Mathematics: First-ever image of a flat torus in 3DJust as a terrestrial globe cannot be flattened without distorting the distances, it seemed impossible to visualize abstract mathematical objects called flat tori in ordinary three-dimensional space. However, a French team of mathematicians and computer scientists has succeeded in constructing and visually representing an image of a flat torus in three-dimensional space. This is a smooth fractal, halfway between fractals and ordinary surfaces. The results are published in PNAS.
https://phys.org/news/2012-04-mathematics-first-ever-image-flat-torus.html
Mathematics Thu, 26 Apr 2012 06:35:24 ESTnews254640881