scientific article; zbMATH DE number 1766597

zbMath1007.35082MaRDI QIDQ4538001

O. A. Ladyzhenskaya, Arina A. Arkhipova Arkhipova

Publication date: 11 July 2002

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1997_4_25_1-2_51_0

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zbMATH Keywords

initial-boundary value problemperiodic boundary conditionsreverse Hölder inequalitiessummability with powerunique sovabilityviscous incompressible inhomogeneous fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (4)

Global solvability of the Cauchy-Dirichlet problem for a class of strongly nonlinear parabolic systems ⋮ Free boundary problem for a layer of inhomogeneous fluid ⋮ Weak global solvability of the two-phase problem for a class of parabolic systems with strong nonlinearity in the gradient. The case of two spatial variables ⋮ Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution

Cites Work

• On the partial regularity of weak solutions on nonlinear parabolic systems
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• On the existence and uniqueness of solutions of the non-stationary problems for flows of non-compressible fluids
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