V. A. Solonnikov

Best Publications

• Linear and Quasi-linear Equations of Parabolic Type

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  7362
  Citations

• Estimates for solutions of nonstationary Navier-Stokes equations

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  365
  Citations

• Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations

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  192
  Citations

• Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids

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  163
  Citations

• Solvability of the initial-boundary-value problem for the equations of motion of a viscous compressible fluid

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  148
  Citations

• Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods.

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  136
  Citations

• SOLVABILITY OF A PROBLEM ON THE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID BOUNDED BY A FREE SURFACE

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  111
  Citations

• Estimates of the solutions of a nonstationary linearized system of Navier-Stokes equations

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  107
  Citations

• On nonstationary Stokes problem in exterior domains

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  96
  Citations

• Determination of the solutions of boundary value problems for stationary stokes and Navier-Stokes equations having an unbounded Dirichlet integral

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  95
  Citations

• ON THE TRANSIENT MOTION OF AN ISOLATED VOLUME OF VISCOUS INCOMPRESSIBLE FLUID

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  94
  Citations

• On Nonstationary Stokes Problem and Navier–Stokes Problem in a Half-Space with Initial Data Nondecreasing at Infinity

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  88
  Citations

• On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator

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  77
  Citations

• On the solvability of boundary and initial-boundary value problems for the Navier-Stokes system in domains with noncompact boundaries

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  74
  Citations

• Overdetermined elliptic boundary-value problems

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  72
  Citations

• Existence Theorems for the Equations of Motion of a Compressible Viscous Fluid

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  72
  Citations

• The linearization principle and invariant manifolds for problems of magnetohydrodynamics

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  72
  Citations

• Lectures on Evolution Free Boundary Problems: Classical Solutions

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  70
  Citations

• L p -Estimates for Solutions to the Initial Boundary-Value Problem for the Generalized Stokes System in a Bounded Domain

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  63
  Citations

• Evolution free boundary problem for equations of motion of viscous compressible barotropic liquid

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  59
  Citations