This work was supported in part by National Nature Science Foundation of China(11371141 and 11871218);by Science and Technology Commission of Shanghai Municipality(18dz2271000).
Transonic shocks play a pivotal role in designation of supersonic inlets and ramjets.For the three-dimensional steady non-isentropic compressible Euler system with frictions,we constructe a family of transonic shock s...
partially supported by the National Natural Science Foundation of China(11671362,11571105);Beijing Municipal Natural Science Foundation(1182008);the Scientific Research Funds of Huaqiao University
Let λG(z)|dz| be the hyperbolic metric on a simply connected proper domain G?C containing the origin, and let ■be the Banach norms of Cnj for j = 1, 2,…,k.This note is to prove that if f is a normalized biholomor...
supported by the National Natural Science Foundation of China(11701489,11871412);the Hunan Provincial Natural Science Foundation of China(2018JJ2373,2018JJ3481)
This article is involved with the asymptotic behavior of solutions for nonlinear hyperbolic system with external friction. The global existence of classical solutions is proven,and L^p convergence rates are obtained. ...
supported in part by a grant from China Scholarship Council;the National Natural Science Foundation of China(11301006);the Anhui Provincial Natural Science Foundation(1408085MA01)
This article concerns the self-similar solutions to the hyperbolic mean curvature flow (HMCF) for plane curves, which is proposed by Kong, Liu, and Wang and relates to an earlier proposal for general flows by LeFloc...
Supported by NSFC(11271290);GSPT of Zhejiang Province(2014R424062)
In this paper, we first show the global existence, uniqueness and regularity of weak solutions for the hyperbolic magnetohydrodynamics(MHD) equations in R^3. Then we establish that the solutions with initial data belo...
Li et al. in [3] obtained blow-up results for a system of Petrovskey equations in some different cases. In this article we obtain lower bounds for the blow up time under some considerations on initial data.
supported by the NSF of China(10941002,11001262);the Starting Fund for Distinguished Young Scholars of Wuhan Institute of Physics and Mathematics(O9S6031001)
Hildebrand classified all semi-homogeneous cones in R3 and computed their cor- responding complete hyperbolic affine spheres. We compute isothermal parametrizations for Hildebrand's new examples. After giving their a...
supported by CAPES(Brazil);supported by National Natural Science Foundation(10671006,10831003);National Basic Research Program of China(973 Program)(2006CB805903)
Let M be a smooth compact manifold and A be a compact invariant set. In this article, we prove that, for every robustly transitive set A, flA satisfies a Cl-genericstable shadowable property (resp., Cl-generic-stable...
supported by the Start-Up fund from University of Cyprus;supported by the National Science Foundation under the grant DMS 1109397
Historically, decay rates have been used to provide quantitative and quali- tative information on the solutions to hyperbolic conservation laws. Quantitative results include the establishment of convergence rates for ...
A global existence theorem is established for an initial-boundary value prob- lem, with time-dependent boundary data, arising in a lumped parameter model of pulse combustion; the model in question gives rise to a nonl...