We consider a strongly non-linear degenerate parabolic-hyperbolic problem with p(x)-Laplacian diffusion flux function. We propose an entropy formulation and prove the existence of an entropy solution.
supported by Natural Science Foundation of Jiangsu Province(Grant No.BK20200803);National Natural Science Foundation of China(Grant No.12001285);supported by National Natural Science Foundation of China(Grant Nos.11801268 and 12031006);supported by National Natural Science Foundation of China(Grant No.12001429)。
The original Leray’s problem concerns the well-posedness of weak solutions to the steady incompressible Navier-Stokes equations in a distorted pipe,which approach the Poiseuille flow subject to the no-slip boundary c...
supported by National Natural Science Foundation of China(Grant No.12001247);supported by National Natural Science Foundation of China(Grant Nos.12171208,11831014 and 12090011);supported by National Natural Science Foundation of China(Grant Nos.11931004 and 12090011);Natural Science Foundation of Jiangsu Province(Grant No.BK20201019);the Priority Academic Program Development of Jiangsu Higher Education Institutions。
In this paper,we establish the global well-posedness of the stochastic 3D Leray-αmodel with general fractional dissipation driven by multiplicative noise.This model is the stochastic 3D Navier-Stokes equations regula...
This paper is concerned with the existence of solution for a general class of strongly nonlinear elliptic problems associated with the differential inclusionβ(u)+A(u)+g(x,u,Du)■f,where A is a Leray-Lions operator fr...
supported by Educational and Scientific Research Funding Program for young and middle-aged teachers in Fujian Province,China(Grant No.JT180700).
In this paper,by using the Hermitian metric and Chern connection,we study the case of a strictly pseudoconvex domain G with non-smooth boundaries in a complex manifold.By constructing a new integral kernel,we obtain a...
supported by National Natural Science Foundation of China(Grant Nos.11890663,11821001,11826102 and 11501393);the Sichuan Science and Technology Program(Grant No.2019YJ0509);a joint research project of Laurent Mathematics Research Center of Sichuan Normal University and V.C.&V.R.Key Lab of Sichuan Province。
Consider a compact symplectic sub-orbifold groupoid S of a compact symplectic orbifold groupoid(X,ω).LetXabe the weight-a blowup of X along S,and Da=PNa be the exceptional divisor,where N is the normal bundle of S in...
partially supported by the National Natural Science Foundation of China(No.11471103).
In this paper,we establish the global regularity of 2D leray-alpha regularized tropical climate models.The global strong solution to the system with a half Laplacian of the first baroclinic model of velocity(Av)and th...