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3 Journal of Applied Analysis

3 Mucha P. B.

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On almost global existence for the Cauchy problem for compressible Navier-Stoker equations in the Lp-framework

Mucha P. B.

Journal of Applied Analysis

2001

Vol. 7, nr 1

61-79

The almost global in time existence of regular solutions to equations of viscous compressible barotropic fluid motion for the initial value problem in the Lp-framework is shown. To prove the result we apply the Lp-estimate for the linearization of the equations which are obtained at the end of the paper.

The cauchy problem for the Einstein-Vlasov system

Mucha P. B.

Journal of Applied Analysis

1998

Vol. 4, nr 1

111-127

We prove an existence and uniqueness for the Einstein-Vlasov system locally in time. Considerations are restricted to initial data which give a solution in harmonic coordinates.

The cauchy problem for the Einstein-Boltzmann system

Mucha P. B.

Journal of Applied Analysis

1998

Vol. 4, nr 1

129-141

We prove an existence and uniqueness of solution for the Einstein-Boltzmann system locally in time. We restrict our attention to initial data which gives a solution in harmonic coordinates.