TY  - JOUR
ID  - Lin2022
LB  - Lin2022
AU  - Lin, Qiang
AU  - Luo, Yongbing
TI  - Blowup phenomena for some fourth-order strain wave equations at arbitrary positive initial energy level
ST  - Blowup phenomena for some fourth-order strain wave equations at arbitrary positive initial energy level
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2022
VL  - 42
IS  - 2
SP  - 219
EP  - 238
DO  - https://doi.org/10.7494/OpMath.2022.42.2.219
UR  - https://doi.org/10.7494/OpMath.2022.42.2.219
AB  - In this paper, we study a series of fourth-order strain wave equations involving dissipative structure, which appears in elasto-plastic-microstructure models. By some differential inequalities, we derive the finite time blow up results and the estimates of the upper bound blowup time with arbitrary positive initial energy. We also discuss the influence mechanism of the linear weak damping and strong damping on blowup time, respectively.
KW  - fourth-order strain wave equation
KW  - arbitrary positive initial energy
KW  - blowup
KW  - blowup time
SN  - 1232-9274
ER  -