supported by the National Natural Science Foundation of China(12364055,51775121).
In order to overcome the non-unique solution problem of the conventional equivalent source method at the corresponding eigenfrequency,the basic guidelines of adding virtual damping into the equivalent source method is...
Recently,finding the sparsest solution of an underdetermined linear system has become an important request in many areas such as compressed sensing,image processing,statistical learning,and data sparse approximation.I...
Theoretical hydrodynamics may lead one into serious delusions. This article is focused on three of them. First, using flowing around a sphere as an example it is shown that the known potential solutions of the flow-ar...
Supported by National Natural Science Foundation of China(Grant No.11371045)
Abstract The non-uniqueness on geodesics and geodesic disks in the universal asymptotic Teichmfiller space AT(D) are studied in this paper. It is proved that if # is asymptotically extremal in [[#]] with h (μ) ...
The case of a radial initial state for a family of hyperbolic systems of con- servation laws with several spatial dimensions is considered. It will be shown that the singularity at the origin introduces multiple solut...
A nonlinear problem of mean-square approximation of a real nonnegative continuous function with respect to two variables by the modulus of double Fourier integral dependent on two real parameters with use of the smoot...
The numerical algorithms for finding the lines of branching and branching-off solutions of nonlinear problem on mean-square approximation of a real finite nonnegative function with respect to two variables by the modu...
In this paper, we prove the existence and nonuniqueness of the weak solutions of the initial and boundary value problem for a nonlinear degenerate parabolic equation not in divergence form. Localization property of we...
The Young Teachers Foundation (420010302318) of Jilin University.
In this paper, we study the existence and nonuniqueness of weak solutions of the initial and boundary value problem for ut= uσdiv(|△u|p-2△u) with σ≥1. Localization property of weak solutions is also discussed.
Fourier transform is a basis of the analysis. This paper presents a kind ofmethod of minimum sampling data determined profile of the inverted object ininverse scattering.