38 citations · 70 across the 10 of their papers we have counts for
10 papers
Existence, regularity, and symmetry of periodic traveling waves for Gardner-Ostrovsky type equations
Gabriele Bruell, Long Pei
We study the existence, regularity, and symmetry of periodic traveling solutions to a class of Gardner-Ostrovsky type equations, including the classical Gardner-Ostrovsky equation,…
Symmetry of periodic traveling waves for nonlocal dispersive equations
Gabriele Bruell, Long Pei
Of concern is the a priori symmetry of traveling wave solutions for a general class of nonlocal dispersive equations \[ u_t +(u^2 +Lu)_x =0, \] where is a Fourier multiplier op…
Exponential decay and symmetry of solitary waves to the Degasperis-Procesi equation
Long Pei
We improve the decay argument by [Bona and Li, J. Math. Pures Appl., 1997] for solitary waves of general dispersive equations and illustrate it in the proof for the exponential dec…
Exact solution of a Neumann boundary value problem for the stationary axisymmetric Einstein equations
Jonatan Lenells, Long Pei
For a stationary and axisymmetric spacetime, the vacuum Einstein field equations reduce to a single nonlinear PDE in two dimensions called the Ernst equation. By solving this equat…
Classical well-posedness in dispersive equations with nonlinearities of mild regularity, and a composition theorem in Besov spaces
Mats Ehrnström, Long Pei
For both localized and periodic initial data, we prove local existence in classical energy space , for a class of dispersive equations $u_{t}+(n(u))_{x}+Lu_{x}=…
A conditional well-posedness result for the bidirectional Whitham equation
Mats Ehrnström, Long Pei, Yuexun Wang
We consider the initial-value problem for the bidirectional Whitham equation, a system which combines the full two-way dispersion relation from the incompressible Euler equations w…
Symmetric solutions of evolutionary partial differential equations
Gabriele Bruell, Mats Ehrnstrom, Anna Geyer +1
We show that for a large class of evolutionary nonlinear and nonlocal partial differential equations, symmetry of solutions implies very restrictive properties of the solutions and…
Symmetry and decay of traveling wave solutions to the Whitham equation
Gabriele Bruell, Mats Ehrnström, Long Pei
This paper is concerned with decay and symmetry properties of solitary wave solutions to a nonlocal shallow water wave model. It is shown that all supercritical solitary wave solut…
On classical global solutions of nonlinear wave equations with large data
Shuang Miao, Long Pei, Pin Yu
This paper studies the Cauchy problem for systems of semi-linear wave equations on with nonlinear terms satisfying the null conditions. We construct future globa…
Existence and uniqueness of generalized monopoles in six-dimensional non-Abelian gauge theory
Shouxin Chen, Long Pei
In this paper, we established the existence and uniqueness of the spherically symmetric monopole solutions in SO(5) gauge theory with Higgs scalar fields in the vector representati…