期刊： QUARTERLY OF APPLIED MATHEMATICS, 2021; 79 (4)
The aim of this paper is to investigate the Cauchy problem for a modified Euler-Poisson system (mEP) in one dimension. We first establish the local we......
期刊： QUARTERLY OF APPLIED MATHEMATICS, 2021; 79 (4)
In this paper, we consider the exogenous chemotaxis system with physical mixed zero-flux and Dirichlet boundary conditions in one dimension. Since the......
期刊： QUARTERLY OF APPLIED MATHEMATICS, 2021; 79 (2)
We present a local sensitivity analysis in Landau damping for the kinetic Kuramoto equation with random inputs. The kinetic Kuramoto equation governs ......
期刊： QUARTERLY OF APPLIED MATHEMATICS, 2021; 79 (1)
We prove the existence and uniqueness of positive analytical solutions with positive initial data to the mean field equation (the Dyson equation) of t......
期刊： QUARTERLY OF APPLIED MATHEMATICS, 2020; 78 (4)
In this paper, we are interested in a semilinear Mindlin-Timoshenko system with an irrotationality condition for the angle variables. Under the smalln......
期刊： QUARTERLY OF APPLIED MATHEMATICS, 2020; 78 (4)
We present two sufficient frameworks for the emergent dynamics to the discrete thermodynamic Cucker-Smale (TCS) model. Our proposed frameworks are for......
期刊： QUARTERLY OF APPLIED MATHEMATICS, 2019; 77 (4)
We consider a sequence of identical independently distributed random samples from an absolutely continuous probability measure in one dimension with u......
期刊： QUARTERLY OF APPLIED MATHEMATICS, 2019; 77 (4)
We study the pointwise (in the space and time variables) behavior of the Fokker-Planck equation with potential. An explicit description of the solutio......
期刊： QUARTERLY OF APPLIED MATHEMATICS, 2019; 77 (1)
In this paper, we establish the pointwise upper and lower bounds of the gradients of solutions to a class of elliptic systems, including linear system......
期刊： QUARTERLY OF APPLIED MATHEMATICS, 2019; 77 (3)
This paper introduces a novel data clustering algorithm based on Langevin dynamics, where the associated potential is constructed directly from the da......
期刊： QUARTERLY OF APPLIED MATHEMATICS, 2018; 76 (3)
The proposal of this paper is to study the convergence of the compressible Navier-Stokes equations with no-slip boundary condition to the correspondin......
期刊： QUARTERLY OF APPLIED MATHEMATICS, 2018; 76 (3)
We investigate the existence and uniqueness of bounded solutions to a nonlinear integral equation which models the ocean flow in arctic gyres.
期刊： QUARTERLY OF APPLIED MATHEMATICS, 2017; 75 (2)
The present study is concerned with the stability of solitary waves for the generalized two-component Camassa-Holm system derived formally as a model ......
期刊： QUARTERLY OF APPLIED MATHEMATICS, 2017; 75 (3)
In this paper we introduce a program to construct the Green's function for the linearized compressible Navier-Stokes equations in several space dimens......
