Geodesic
The weak solutions of Hopf type to 2D Maxwell flows with infinite number of relaxation times
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 47, Tome 461 (2017), pp. 140-147 Cet article a éte moissonné depuis la source Math-Net.Ru

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The system of equations, describing motion of fluids of Maxwell type is considered $$ \frac\partial{\partial t}v+v\cdot\nabla v-\int_0^t K(t-\tau)\Delta v(x,\tau)\,d\tau+\nabla p=f(x,t),\quad\operatorname{div}v=0. $$ Here $K(t)$ is exponential series $K(t)=\sum_{s=1}^\infty\beta_se ^{-\alpha_st}$. The existence of weak solution for initial boundary value problem $$ v(x,0)=v_0(x),\quad v\cdot n|_{\partial\Omega}=0,\quad\operatorname{rot}v|_{\partial\Omega}=0 $$ is proved. 
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     author = {N. A. Karazeeva},
     title = {The weak solutions of {Hopf} type to {2D} {Maxwell} flows with infinite number of relaxation times},
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N. A. Karazeeva. The weak solutions of Hopf type to 2D Maxwell flows with infinite number of relaxation times. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 47, Tome 461 (2017), pp. 140-147. http://geodesic.mathdoc.fr/item/ZNSL_2017_461_a7/

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