https://www.aimsciences.org/DCDS/article/2023/43/2
 
Global Well-posedness of the free boundary problem for the compressible Euler equations with damping and gravity
Jiali Lian and Huoxiong Wu
 
Linear stability of the elliptic relative equilibrium with (1+7)-gon central configuration in planar $N$-body problem
Yuwei Ou and Jiexin Sun  
 
Global well-posedness of the viscous Camassa–Holm equation with gradient noise
Helge Holden, Kenneth H. Karlsen and Peter H. C. Pang
 
A 3D-Schrödinger operator under magnetic steps with semiclassical applications
Wafaa Assaad and Emanuela L. Giacomelli
 
Multispike Solutions for a slightly subcritical elliptic problem with non-power nonlinearity
Mohamed Ben Ayed, Habib Fourti and Rabeh Ghoudi
 
Homogeneous spectrum of quasi-periodic Gevrey Schrödinger operators with Diophantine frequency
Yan Yang and Kai Tao
 
Local $\varepsilon$-regularity criteria for the five dimensional stationary Navier-Stokes equations
Xiufang Cui
 
Locally unipotent invariant measures and limit distribution of a sequence of polynomial trajectories on homogeneous spaces
Han Zhang
 
Topological structures on saturated sets, optimal orbits and equilibrium states
Xiaobo Hou, Xueting Tian and Yiwei Zhang
 
Dressing for generalised linear Hamiltonian systems depending rationally on the spectral parameter and some applications
Alexander Sakhnovich
 
The existence and asymptotic behaviours of normalized solutions for critical fractional Schrödinger equation with Choquard term
Meng Li, Jinchun He, Haoyuan Xu and Meihua Yang
 
Moving spheres for semilinear spectral fractional Laplacian equations in the half space
Jing Li and Li Ma
 
Global conservative solutions of the nonlocal NLS equation beyond blow-up
Yan Rybalko and Dmitry Shepelsky
 
Poisson stable motions of monotone and strongly sub-linear non-autonomous dynamical systems
David Cheban
 
Small data finite-time blow-up solutions for the nonlinear Schrödinger equation in general dimensions
Shota Kawakami
 
Multiplicity results for ground state solutions of a semilinear equation via abrupt changes in magnitude of the nonlinearity
Carmen Cortázar, Marta García-Huidobro and Pilar Herreros