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4 papers · 2 filters
Global bifurcation of rotating vortex patches
Zineb Hassainia, Nader Masmoudi, Miles H. Wheeler
We rigorously construct continuous curves of rotating vortex patch solutions to the two-dimensional Euler equations. The curves are large in that, as the parameter tends to infinit…
Reconstruction of a piecewise constant conductivity on a polygonal partition via shape optimization in EIT
Elena Beretta, Stefano Micheletti, Simona Perotto +1
In this paper, we develop a shape optimization-based algorithm for the electrical impedance tomography (EIT) problem of determining a piecewise constant conductivity on a polygonal…
The vortex method for 2D ideal flows in exterior domains
Diogo Arsénio, Emmanuel Dormy, Christophe Lacave
The vortex method is a common numerical and theoretical approach used to implement the motion of an ideal flow, in which the vorticity is approximated by a sum of point vortices, s…
Construction of a stable blowup solution with a prescribed behavior for a non-scaling invariant semilinear heat equation
G. K. Duong, V. T. Nguyen, H. Zaag
We consider the semilinear heat equation \begin{eqnarray*} \partial_t u = Δu + |u|^{p-1} u \ln ^α( u^2 +2), \end{eqnarray*} in the whole space , where and $ α…