Results 181 to 190 of about 220,587 (227)

The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli   +3 more
wiley   +1 more source

Self‐Similar Blowup for the Cubic Schrödinger Equation

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley   +1 more source

Inference of weak-form partial differential equations describing migration and proliferation mechanisms in wound healing experiments on cancer cells. [PDF]

open access: yesPLoS Comput Biol
Srivastava S   +9 more
europepmc   +1 more source

Optimal metrics for the first curl eigenvalue on 3-manifolds. [PDF]

open access: yesCalc Var Partial Differ Equ
Enciso A, Gerner W, Peralta-Salas D.
europepmc   +1 more source

Chirality-driven all-optical image differentiation. [PDF]

open access: yesNanophotonics
Koufidis SF   +4 more
europepmc   +1 more source

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