Blar i NTNU Open på forfatter "Pei, Long"
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A note on the local well-posedness for the whitham equation
Ehrnstrom, Mats; Escher, Joachim; Pei, Long (Journal article; Peer reviewed, 2015)We prove local well-posedness for the Whitham equation in Hs, s>32s>32, for both solitary and periodic initial data. -
A NOTE ON WELL-POSEDNESS OF BIDIRECTIONAL WHITHAM EQUATION
Pei, Long; Wang, Yuexun (Journal article; Peer reviewed, 2019)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 with a canonical shallow-water nonlinearity. ... -
Classical well-posedness in dispersive equations with nonlinearities of mild regularity, and a composition theorem in Besov spaces
Ehrnstrom, Mats; Pei, Long (Journal article; Peer reviewed, 2018)For both localized and periodic initial data, we prove local existence in classical energy space Hs,s > 3 2 , for a class of dispersive equations ut +(n(u))x +Lux = 0 with nonlinearities of mild regularity. Our results are ... -
Exponential decay of solitary waves to Degasperis-Procesi equation
Pei, Long (Peer reviewed; Journal article, 2020)We improve the decay argument by Bona and Li (1997) [5] for solitary waves of general dispersive equations and illustrate it in the proof for the exponential decay of solitary waves to steady Degasperis-Procesi equation ... -
Nonlocal Dispersive Models for Water Waves Existence, Symmetry and Related A Priori Properties
Pei, Long (Doctoral theses at NTNU;2017:6, Doctoral thesis, 2016) -
Symmetric solutions of evolutionary partial differential equations
Ehrnstrom, Mats; Bruell, Gabriele; Pei, Long; Geier, Anna (Journal article; Peer reviewed, 2017)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 axes. These restrictions are ... -
Symmetry and decay of traveling wave solutions to the Whitham equation
Ehrnstrom, Mats; Brüll, Gabriele; Pei, Long (Journal article, 2017)This paper is concerned with decay and symmetry properties of solitary-wave solutions to a nonlocal shallow-water wave model. An exponential decay result for supercritical solitary-wave solutions is given. Moreover, it is ...