funding from the Medical Research Council (MR/S006990/1, MR/Y010949/1);the Rosetrees Trust (M806);the UCL Neurogenetic Therapies Programme funded by The Sigrid Rausing Trust and the UCL Therapeutic Acceleration Support scheme supported by funding from MRC IAA 2021 UCL MR/X502984/1 (to JNS)。
Charcot-Marie-Tooth disease(CMT) is a heterogeneous group of inherited peripheral neuro pathies;it is characterized by muscle weakness and wasting,as well as sensory dysfunction,that typically begins during adolescenc...
In this paper,C1,1 regularity for solutions to the degenerate dual Orlicz-Minkowski problem is considered.The dual Orlicz-Minkowski problem is a generalization of the Lp dual Minkowski problem in convex geometry.The p...
supported by the NSFC(12271178,12171166);the Guangzhou Basic and Applied Basic Research Foundation(2024A04J2022);the TCL Young Scholar(2024-2027).
In this paper,we study the self-similar solutions of the degenerate diffusion equation ut-div(|▽u^(m)|^(p-2)▽u^(m))=0 of polytropic filtration diffusion in R^(N)×(0,±∞)or(R^(N)/{0})×(0,±∞)with N≥1,m>0,p>1,suc...
supported by the National Natural Science Foundation of China(Grant Nos.12261131495 and 12475008);the Scientific Research and Developed Fund of Zhejiang A&F University(Grant No.2021FR0009)。
We employ the Hirota bilinear method to systematically derive nondegenerate bright one-and two-soliton solutions,along with degenerate bright-dark two-and four-soliton solutions for the reverse-time nonlocal nonlinear...
In this article,we are concerned with the C^(2)estimates for the k-convex solutions of a class of degenerate k-Hessian equations on closed Hermitian manifolds,whose function in the right-hand side is relevant to the u...
In the paper, we study a compressible two-fluid model in ℝ3, where γ±>1. The pressure of the two fluids is equal. Different from previous research, we consider that viscosity coefficient both μand λare functions o...
The National Natural Science Foundation of China(12071299,12071300)。
We consider the asymptotic behavior of solutions to the porous medium equation with a positive bistable type reaction term and Dirichlet boundary condition.We first prove a convergence result.Furthermore,by investigat...
supported by NNSFC(Grant No.11971299);supported by NNSFC(Grant Nos.12090010,12090013)。
In this paper,an infinite dimensional KAM theorem with unbounded perturbations and double normal frequencies is established under qualitative non-degenerate conditions.This is an extension of the degenerate KAM theore...
supported by the National Natural Science Foundation of China under Grant Nos.12126401 and 11926402。
In this paper,the approximate controllability of semilinear integrodifferential degenerate Sobolev equations with nonlocal conditions is investigated in the sense of integral solution in Hilbert spaces.Some sufficient...
partially supported by the Outstanding Youth Fund of Zhejiang Province (Grant No. LR22A010004);the NSFC (Grant No. 12071435)。
This paper is concerned with the global classical solution and the asymptotic behavior to a kind of linearly degenerate quasilinear hyperbolic system in several space variables.When the semilinear terms contain at lea...