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A Liouville theorem for ancient solutions to a semilinear heat equation and its elliptic counterpart

open access: yes, 2020
We establish the nonexistence of nontrivial ancient solutions to the nonlinear heat equation $u_t=\Delta u+|u|^{p-1}u$ which are smaller in absolute value than the self-similar radial singular steady state, provided that the exponent $p$ is strictly ...
Sourdis, Christos
core  

Active Ising Models of flocking: a field-theoretic approach. [PDF]

open access: yesEur Phys J E Soft Matter, 2023
Scandolo M, Pausch J, Cates ME.
europepmc   +1 more source

Variational analysis of landscape elevation and drainage networks. [PDF]

open access: yesProc Math Phys Eng Sci, 2020
Hooshyar M, Anand S, Porporato A.
europepmc   +1 more source

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