H. Yau

activity

19992009

most citedRigorous Derivation of the Gross-Pitaevskii Equation

173 citations · 594 across the 14 of their papers we have counts for

collaborators

Showing 2002 · math-phShow all

3 papers · 2 filters

math-ph2002★ 3 cited

Derivation of the Euler equations from many-body quantum mechanics

Bruno Nachtergaele, Horng-Tzer Yau

The Heisenberg dynamics of the energy, momentum, and particle densities for fermions with short-range pair interactions is shown to converge to the compressible Euler equations in…

math-ph2002★ 4 cited

Classification of Asymptotic Profiles for Nonlinear Schrödinger Equations with Small Initial Data

Tai-Peng Tsai, Horng-Tzer Yau

We consider a nonlinear Schrödinger equation with a bounded local potential in $R^{3}$ . The linear Hamiltonian is assumed to have two bound states with the eigenvalues satisfying som…

math-ph2002

$(lo g t)^{2/3}$ law of the two dimensional asymmetric simple exclusion process

Horng-Tzer Yau

We prove that the diffusion coefficient for the two dimensional asymmetric simple exclusion process diverges as $(lo g t)^{2/3}$ to the leading order. The method applies to nearest…

Derivation of the Euler equations from many-body quantum mechanics

Classification of Asymptotic Profiles for Nonlinear Schrödinger Equations with Small Initial Data

(logt)2/3 law of the two dimensional asymmetric simple exclusion process

$(lo g t)^{2/3}$ law of the two dimensional asymmetric simple exclusion process