Generalized Kelvin–Voigt equations with p-Laplacian and source/absorption terms

@inproceedings{Antontsev2017GeneralizedKE,
  title={Generalized Kelvin–Voigt equations with p-Laplacian and source/absorption terms},
  author={Stanislav N. Antontsev and Kh. Khompysh},
  year={2017}
}
Abstract This study considers the blow-up in finite time and large-time behavioral properties of solutions to the initial-boundary value problem for generalized Kelvin–Voigt equations with p-Laplacian and source/absorption terms: v → t + ( v → ⋅ ∇ ) v → + ∇ P = div ( ϰ | D ( v → ) | q − 2 D ( v → ) t + ν | D ( v → ) | p − 2 D ( v → ) ) + γ | v → | m − 2 v → , div v → ( x , t ) = 0 , ( x , t ) ∈ Q T , where D ( v → ) = 1 2 ( ∇ v → + ∇ v → T ) is the rate of the strain tensor, v → ( x , t ) is… CONTINUE READING

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