4 papers
Asymptotic behavior of the solution with positive temperature in nonlinear 3D thermoelasticity
Chuang Ma, Bin Guo
In this paper, we study a hyperbolic-parabolic coupled system arising in nonlinear three-dimensional thermoelasticity. We establish the global well-posedness and asymptotic behavio…
Large-data solutions in multi-dimensional thermoviscoelasticity with temperature-dependent viscosities
Chuang Ma, Bin Guo
This paper investigates a quasilinear parabolic system arising in thermoviscoelasticity of Kelvin-Voigt type with temperature-dependent viscosity and coupled terms. The system, giv…
Irregular Diffusions and Loss of Regularity in Polyconvex Gradient Flows
Bin Guo, Seonghak Kim, Baisheng Yan
We investigate diffusion-type partial differential equations that are irregular in the sense that they admit weak solutions which are nowhere smooth, even for prescribed smooth dat…
A class of thin-film equations with space-time dependent gradient nonlinearity and its application to image sharpening
Yuhang Li, Zhichang Guo, Fanghui Song +2
We introduce a class of thin-film equations with space-time dependent gradient nonlinearity and apply them to image sharpening. By modifying the potential well method, we overcome…