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Rossby-Haurwitz waves are an important class of explicit solutions to the incompressible Euler equation on a rotating 2-sphere. We will introduce our recent work on the nonlinear stability of degree-2...
In this talk, we discuss the global stability of the Minkowski spacetime in the wave coordinates system for the massive Einstein-Vlasov system. In particular, compared with previous results by Lindbla...
We consider the existence, uniqueness and nonlinear stability of the travelling wave solution of the Navier-Stokes-Poisson system with density-dependent viscosity for ions. Firstly, we derive a system...
In his pioneering work in 1860, Riemann proposed the Riemann problem and solved it for isentropic gas in terms of shocks and rarefaction waves. It eventually became the foundation of the theory of one...
In this talk, we consider a class of exponential time differencing (ETD) schemes for solving the nonlocal Cahn-Hilliard equation. We first use the Fourier collocation method to discretize the space do...
In this talk, the combined quasi-neutral and zero-viscosity limits of the two-fluid Navier-Stokes-Poisson systems (one for ion and another for electron) with boundary are rigorously proved by investig...
Multi-soliton solutions of the Korteweg-de Vries equation (KdV)are shown to be globally L2-stable, and asymptotically stable in the sense of Martel-Merle [23]. The proof is surprisingly simple and com...
In the study of solutions to the relativistic Boltzmann equation,their regularity with respect to the momentum variables has been an outstanding question, even local in time, due to the initially unex...
We show that if p is an odd prime then p−1 X k=0 EkEp−1−k  1 (mod p) and p−3 X k=0 EkEp−3−k  (−1)(p−1)/22Ep−3 (mod p),where E0,E1,E2, . . . are ...
In this article we develop a new approach to the problem of the stability of locally conformally K¨ahler structures (l.c.k structures) under small deformations of complex structures and deformations o...
Large time behavior of solutions to abstract differential equations is studied.
In the present work, we numerically explore the existence and stability properties of di erent types of con gurations of dark-bright solitons, dark-bright soliton pairs and pairs of dark-bright and d...
We prove the asymptotic stability of 1:1 spin orbit resonance for a stiff viscoelastic rotationally invariant satellite. The main point is that we do not assume any dissipation on the orbital degrees ...
We consider a spectral stability estimate by Burenkov and Lamberti concerning the variation of the eigenvalues of second order uniformly elliptic operators on variable open sets in the N-dimensional e...
In [Ma09] S. Ma established a bijection between Fourier–Mukai partners of a K3 surface and cusps of the K¨ahler moduli space.The K¨ahler moduli space can be described as a quotient of Bridgeland’s sta...

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