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Published in 2020 at "Chinese Journal of Chemical Physics"
DOI: 10.1063/1674-0068/cjcp1910173
Abstract: NO \begin{document}$_3$\end{document} and N \begin{document}$_2$\end{document} O \begin{document}$_5$\end{document} are important participants in nocturnal atmospheric chemical processes, and their concentrations are of great significance in the study of the mechanism of nocturnal atmospheric chemical reactions. A two-channel…
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Published in 2021 at "Chinese Journal of Chemical Physics"
DOI: 10.1063/1674-0068/cjcp2108145
Abstract: LASP (large-scale atomistic simulation with neural network potential) software developed by our group since 2018 is a powerful platform (www.lasphub.com) for performing atomic simulation of complex materials. The software integrates the neural network (NN) potential…
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Published in 2020 at "Chinese Physics C"
DOI: 10.1088/1674-1137/44/9/094001
Abstract: The lifetime of the \begin{document}$2_{1}^{+}$\end{document} state in \begin{document}$^{106}$\end{document} Cd populated via the \begin{document}$^{94}$\end{document} Zr ( \begin{document}$^{16}$\end{document} O, 4n) \begin{document}$^{106}$\end{document} Cd reaction has been measured with the Recoil Distance Doppler Shift technique in combination with the…
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Published in 2017 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2018016
Abstract: The paper deals with the functional differential equation \begin{document}$\begin{equation*} y'(t)+∈t_0^{∞}μ_0(ds)\, y(t-s)+\sum_{k=1}^∞ e^{iω_kt}∈t_0^{∞}μ_k(ds)\, y(t-s)=f(t), \end{equation*}$ \end{document} where the functions \begin{document} $y$ \end{document} and \begin{document} $f$ \end{document} take their values in a Hilbert space, \begin{document} $ω_k∈\mathbb{R}$ \end{document}…
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Published in 2018 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2018091
Abstract: This work is concerned with the following nonautonomous evolutionary system on a Banach space \begin{document}$X$\end{document} , \begin{document}${x_t} + Ax = f\left( {x, h\left( t \right)} \right), \;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\left( {0.1} \right)$ \end{document} where \begin{document}$A$\end{document} is a hyperbolic…
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Published in 2018 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2018114
Abstract: In this paper, we prove the uniqueness and stability of viscosity solutions of the following initial-boundary problem related to the random game named tug-of-war with a transport term \begin{document}$\left\{ \begin{array}{*{35}{l}} {{u}_{t}}-\Delta _{\infty }^{N}u-\langle \xi ,Du\rangle…
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Published in 2020 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2020198
Abstract: We deal with monotonicity with respect to \begin{document}$ p $\end{document} of the first positive eigenvalue of the \begin{document}$ p $\end{document} -Laplace operator on \begin{document}$ \Omega $\end{document} subject to the homogeneous Neumann boundary condition. For any…
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Published in 2020 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2020213
Abstract: In our previous papers, we have given a systematic study on the global existence versus blowup problem for the small-data solution \begin{document}$ u $\end{document} of the multi-dimensional semilinear Tricomi equation \begin{document}$ \begin{equation*} \partial_t^2 u-t\, \Delta…
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Published in 2020 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2020246
Abstract: This work concerns the distributional solutions of a conformally invariant system of \begin{document}$ n^{\rm th} $\end{document} -order elliptic equations on \begin{document}$ \mathbb R^n $\end{document} having exponential type nonlinearity. The system in question is a natural…
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Published in 2021 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2021090
Abstract: We study the motion of the negative curved symmetric two and three center problem on the Poincare upper semi plane model for a surface of constant negative curvature \begin{document}$ \kappa $\end{document} , which without loss…
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Published in 2021 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2021091
Abstract: The local well-posedness problem for the Maxwell-Klein-Gordon system in Coulomb gauge as well as Lorenz gauge is treated in two space dimensions for data with minimal regularity assumptions. In the classical case of data in…
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