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Exponential integrators for second-order in time partial differential equations
D Phan, A Ostermann - Journal of Scientific Computing, 2022 - Springer
Two types of second-order in time partial differential equations, namely semilinear wave
equations and semilinear beam equations are considered. To solve these equations with …
equations and semilinear beam equations are considered. To solve these equations with …
Double diffusion structure of logarithmically damped wave equations with a small parameter
A Piske, RC Charão, R Ikehata - Journal of Differential Equations, 2022 - Elsevier
We consider a wave equation with a nonlocal logarithmic dam** depending on a small
parameter 0< θ< 1 2. This research is a counter part of that was initiated by Charão …
parameter 0< θ< 1 2. This research is a counter part of that was initiated by Charão …
Formation of singularities of solutions to the Cauchy problem for semilinear Moore-Gibson-Thompson equations
S Ming, H Yang, X Fan - Communications on Pure and Applied …, 2022 - aimsciences.org
This paper is devoted to investigating formation of singularities for solutions to semilinear
Moore-Gibson-Thompson equations with power type nonlinearity $| u|^{p} $, derivative type …
Moore-Gibson-Thompson equations with power type nonlinearity $| u|^{p} $, derivative type …