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"EXACT SOLUTIONS OF HYPERBOLIC REACTION-DIFFUSION EQUATIONS IN TWO DIME" by P. Broadbridge and J. Goard

Exact solutions are constructed for a class of nonlinear hyperbolic reaction-diffusion equations in two-space dimensions. Reduction of variables and subsequent solutions follow from a special nonclassical symmetry that uncovers a conditionally integrable system, equivalent to the linear Helmholtz equation. The hyperbolicity is commonly associated with a speed limit due to a delay, τ, between gradients and fluxes. With lethal boundary conditions on a circular domain wherein a species population exhibits logistic growth of Fisher-KPP type with equal time lag, the critical domain size for avoidance of extinction does not depend on τ. A diminishing exact solution within a circular domain is also constructed, when the reaction represents a weak Allee effect of Huxley type. For a combustion reaction of Arrhenius type, the only known exact solution that is finite but unbounded is extended to allow for a positive τ. ....

Yperbolic Diffusion , Population Dynamics , Reaction Diffusion ,

Hannah Peel review – elegiac synths weave a dreamy electronic spell

Paying tribute to her hero Delia Derbyshire, the electronica artist took us through her album Fir Wave and beyond in a triumphant show ....

Brian Hodgson , Paul Weller , Delia Derbyshire , John Foxx , Don Harper , Hannah Peel , Erland Cooper , Fir Wave , Patterned Formation , Reaction Diffusion , Carbon Cycle , Cocteau Twins , New Order , Blue Monday , Sound Unwrapped ,

Use.GPU Goes Trad

Old is new again ....

Felix Woitzel , Space Engine Style , Reaction Diffusion , Dark Engine , System Shock ,

Mercury Prize: Sault and Arlo Parks among favourites to win album award

Mercury Prize: Sault and Arlo Parks among favourites to win album award
bbc.com - get the latest breaking news, showbiz & celebrity photos, sport news & rumours, viral videos and top stories from bbc.com Daily Mail and Mail on Sunday newspapers.

United Kingdom , New York , United States , Brighton And Hove , Black Country , City Of , Annie Mac , Wolf Alice , Laura Mvula , Michael Kiwanuka , Ed Sheeran , Nubya Garcia , Sufjan Stevens , Little Simz , Theo Ellis , Inflo Michael Kiwanuka , Demotape Vega , Delia Derbyshire , Cleo Sol , Ellie Rowsell , Kanye West , David Friddman , Kid Sister , Pharoah Sanders , John Hughes , Marilyn Monroe ,

Mercury Prize nominations: Wolf Alice, Arlo Parks and Celeste make the shortlist

Mercury Prize nominations: Wolf Alice, Arlo Parks and Celeste make the shortlist
bbc.co.uk - get the latest breaking news, showbiz & celebrity photos, sport news & rumours, viral videos and top stories from bbc.co.uk Daily Mail and Mail on Sunday newspapers.

New York , United States , Brighton And Hove , United Kingdom , Black Country , City Of , Stuart Braithwaite , Annie Mac , Wolf Alice , Laura Mvula , Michael Kiwanuka , Ed Sheeran , Nubya Garcia , Sufjan Stevens , Wolf Alice Theo Ellis , Little Simz , Theo Ellis , Inflo Michael Kiwanuka , Demotape Vega , Cleo Sol , Delia Derbyshire , Tshepo Mokoena , Berwyn Dubois , Ellie Rowsell , Kanye West , David Friddman ,