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Global 1 Estimation of the Cauchy Problem Solutions to the Navier-Stokes Equation
Department Applied Mathematics and Informatics, Buketov Karaganda State University, Karaganda, Kazakhstan
Department Applied Mathematics and Informatics, Buketov Karaganda State University, Karaganda, Kazakhstan
- 1 Department Applied Mathematics and Informatics, Buketov Karaganda State University, Karaganda, Kazakhstan
- 2 Department Applied Mathematics and Informatics, Buketov Karaganda State University, Karaganda, Kazakhstan
Applied Mathematics·Volume 05 (2014)·Pages 1903–1912·Published 7 July 2014·DOI10.4236/am.2014.513184
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Abstract
The analytic properties of the scattering amplitude are discussed, and a representation of the potential is obtained using the scattering amplitude. A uniform time estimation of the Cauchy problem solution for the Navier-Stokes equations is provided. The paper also describes the time blowup of classical solutions for the Navier-Stokes equations by the smoothness assumption.
KeywordsSchrödinger’s EquationPotentialScattering AmplitudeCauchy ProblemNavier-Stokes EquationsFourier TransformGlobal Solvability and Uniqueness of the Cauchy ProblemLoss of Smoothness
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