Results 181 to 190 of about 241,711 (290)
The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound
Communications 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
Communications 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
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The Variance-Gamma Product Distribution. [PDF]
Results MathGaunt RE, Li S, Sutcliffe HL.
europepmc +1 more source
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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Poroelasticity derived from the microstructure for intrinsically incompressible constituents. [PDF]
Z Angew Math PhysPenta R +3 more
europepmc +1 more source
Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
wiley +1 more source
ChemPhysChem, Volume 26, Issue 6, March 15, 2025.Linear infrared spectroscopy combined with isotope labeling and density functional theory unravels the origin of a Fermi triad in a multifunctional vibrational chromophore. Ultrafast 2DIR‐spectroscopy reports directly on the dynamics and the intramolecular vibrational energy flow pathways in the isotopically deperturbed system. Abstract Infrared probes
Claudia Gräve +4 more
wiley +1 more source
Hazard-based distributional regression via ordinary differential equations. [PDF]
Stat Methods Med ResA Christen J, J Rubio F.
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ChemPhysChem, Volume 26, Issue 6, March 15, 2025.What happens, if in the synthesis of flat silver platelets, the slow deposition of silver along twinning faults is disturbed by the addition of a nobler metal? We have looked into it and found a way to fine‐tune the metal deposition in lateral and vertical direction.
Jonas Kluitmann +3 more
wiley +1 more source
Asymptotic quantification of entanglement with a single copy. [PDF]
Nat PhysLami L, Berta M, Regula B.
europepmc +1 more source