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19972026
most citedHybrid FEM and peridynamic simulation of hydraulic fracture propagation in saturated porous media

170 citations

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16 papers · 1 filter

math.AP2024

Global existence and decay rates of strong solutions to the diffusion approximation model in radiation hydrodynamics

Peng Jiang, Fucai Li, Jinkai Ni

In this paper, we study the global well-posedness and optimal time decay rates of strong solutions to the diffusion approximation model in radiation hydrodynamics in …

math.AP2024★ 6 cited

Finite-time blowup in a parabolic-parabolic-elliptic chemotaxis model involving indirect signal production

Xuan Mao, Yuxiang Li

This paper is concerned with a three-component chemotaxis model accounting for indirect signal production,reading as , an…

math.AP2024★ 6 cited

Global solvability and unboundedness in a fully parabolic quasilinear chemotaxis model with indirect signal production

Xuan Mao, Yuxiang Li

This paper is concerned with a quasilinear chemotaxis model with indirect signal production, , and $w_t = Δw - w…

math.AP2023

Convergence of the solutions of the nonlinear discounted Hamilton-Jacobi equation: The central role of Mather measures

Qinbo Chen, Albert Fathi, Maxime Zavidovique +1

Given a continuous Hamiltonian defined on , where is a closed connected manifold, we study viscosity solutions, $u_λ: M\…

math.AP2021★ 4 cited

Scattering of the three-dimensional cubic nonlinear Schrödinger equation with partial harmonic potentials

Xing Cheng, Chang-Yu Guo, Zihua Guo +2

In this paper, we consider the following three dimensional defocusing cubic nonlinear Schrödinger equation (NLS) with partial harmonic potential \begin{equation*}\tag{NLS} i\partia…

math.AP2021★ 8 cited

The shock formation and optimal regularities of the resulting shock curves for 1-D scalar conservation laws

Yin Huicheng, Zhu Lu

The study on the shock formation and the regularities of the resulting shock surfaces for hyperbolic conservation laws is a basic problem in the nonlinear partial differential equa…