# Search results for: Boling Guo

Mathematical Methods in the Applied Sciences > 43 > 2 > 727 - 746

*g*

_{1}and

*g*

_{2}, satisfying the

*T*‐periodic conditions

*g*

_{j}(

*t*)=

*g*

_{j}(

*t*+

*T*) for

*j*=1,2 in weighted Sobolev spaces.

Mathematical Methods in the Applied Sciences > 42 > 14 > 4839 - 4861

*q*(

*x*,0) is given and satisfies the symmetric, nonzero boundary conditions at infinity, that is,

*q*(

*x*,0)→

*q*

_{±}as

*x*→±

*∞*, and |

*q*

_{±}|=

*q*

_{0}>0. The goal of this paper is to study the asymptotic behavior of the solution of this initial value problem as

*t*→

*∞*. The main tool is the asymptotic analysis of...

Frontiers of Mathematics in China > 2019 > 14 > 1 > 45-76

*m*-dimensional closed Riemannian manifold and prove that it admits a unique local solution. When

*m*⩾ 3 and the initial data in

*L*

^{∞}-norm is sufficiently small, the solution can be extended globally. Moreover, for

*m*= 2, we can prove that the unique solution is global without assuming small initial data.

Zeitschrift für angewandte Mathematik und Physik > 2019 > 70 > 1 > 1-16

Science China Mathematics > 2019 > 62 > 9 > 1669-1686

Mathematical Methods in the Applied Sciences > 41 > 11 > 4327 - 4336

*L*

^{2}norm of the initial data is small.

Applied Mathematics and Mechanics > 2016 > 37 > 2 > 137-150

Science China Mathematics > 2019 > 62 > 3 > 469-508

Journal of Mathematical Analysis and Applications > 2018 > 459 > 1 > 145-158

Journal of Mathematical Analysis and Applications > 2018 > 458 > 2 > 889-909

Acta Applicandae Mathematicae > 2018 > 156 > 1 > 211-224

Journal of Differential Equations > 2017 > 263 > 10 > 6635-6683

Journal of Differential Equations > 2017 > 263 > 9 > 5696-5726

Journal of Differential Equations > 2017 > 263 > 5 > 2457-2480

Acta Mathematica Scientia > 2017 > 37 > 5 > 1361-1372

Mathematical Methods in the Applied Sciences > 40 > 14 > 5262 - 5272

*γ*. Then we prove the blow‐up of smooth solution of compressible Navier–Stokes equations in half space with Navier‐slip boundary. The main ideal is constructing the differential...

Journal of Mathematical Analysis and Applications > 2017 > 451 > 1 > 604-622

Acta Mathematica Scientia > 2017 > 37 > 3 > 573-583

^{2}ρ((φ(ρ))

_{xx}φ′(ρ)

_{x}with φ(ρ)=ρ

^{α}. The model consists of viscous stabilizations because of quantum Fokker-Planck operator in the Wigner equation and is supplemented with periodic boundary and initial conditions. The diffusion term ɛu

_{xx}in the momentum equation...

Journal of Differential Equations > 2017 > 262 > 7 > 3980-4020