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These surfaces may be seen as a...
The nonlocal s-fractional minimal surface equation for Σ = ∂E where E is an open set in R N is given by H Σ s (p):= RN χE(x) − χEc(x ) dx = 0 for all p ∈ Σ. |x...
We construct finite time blow-up solutions to the 3-dimensional harmonic map flow into the sphere S2, ut = ∆u + |∇u|2u in Ω × (0, T) u = ub on ∂Ω × (0, T) u(·, 0) = u0 in Ω, with u(x, t)...
Improving the energy efficiency of buildings is a key climate change mitigation strategy. The application of which will require substantial improvements in the pre-existing stock; a subset of which are buildings of historic...
The nonlocal s-fractional minimal surface equation for Σ = ∂E where E is an open set in R N is given by H Σ s (p):= RN χE(x) − χEc(x ) dx = 0 for all p ∈ Σ. |x...
We consider a family of evolution equations that generalize the Peierls-Nabarro model for crystal dislocations. They can be seen as semilinear parabolic reaction-diffusion equations in which the diffusion is regulated by a...
These surfaces may be seen as a...
We consider a family of evolution equations that generalize the Peierls-Nabarro model for crystal dislocations. They can be seen as semilinear parabolic reaction-diffusion equations in which the diffusion is regulated by a...
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