A. V. Kazhikhov

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All published works

Action	Title	Year	Authors
+	Mathematical Foundation of Turbulent Viscous Flows: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 1-5, 2003	2006	A. V. Kazhikhov Peter Constantin Giovanni Gallavotti
+	Approximation of Weak Limits and Related Problems	2005	A. V. Kazhikhov
+	Existence of a Global Solution to One Model Problem of Atmosphere Dynamics	2005	B. V. Gatapov A. V. Kazhikhov
+	On the Two-Dimensional Hydrostatic Navier--Stokes Equations	2004	Didier Bresch A. V. Kazhikhov J M Lemoine
+	Well-Posedness of a Gas--Solid Phase Transition Problem	1999	И. А. Калиев A. V. Kazhikhov
+	Transport Equations and Orlicz Spaces	1999	A. V. Kazhikhov Alexandre E. Mamontov
+	On a certain class of convex functions and the exact well-posedness classes of the Cauchy problem for the transport equation in orlicz spaces	1998	A. V. Kazhikhov A. E. Mamontov
+	Some Remarks on the Compactness Method	1998	A. V. Kazhikhov
+	Global solutions to the cauchy problem of the stokes approximation equations for two-dimensional compressible flows	1998	Lu Min A. V. Kazhikhov Seiji Uka
+	Recent developments in the global theory of two-dimensional compressible Navier-Stokes equations	1998	A. V. Kazhikhov
+	On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid	1995	В. А. Вайгант A. V. Kazhikhov
+	The equations of potential flow of compressible viscous fluid at low Reynolds number	1994	A. V. Kazhikhov
+	The equation of potential flows of a compressible viscous fluid at small reynolds numbers: Existence, uniqueness, and stabilization of solutions	1993	A. V. Kazhikhov
+	An approach to the boundary value problems for equations of composite type	1992	A. V. Kazhikhov
+	Initial-boundary value problems for the Euler equation of an ideal incompressible fluid	1991	A. V. Kazhikhov
+	Boundary-value problems for Navier-Stokes equations of viscous gas	1990	A. V. Kazhikhov
+	On the correctness of boundary value problems for the equations of a viscous gas with nonmonotone state function	1985	A. V. Kazhikhov V. B. Nikolaev
+	Flow problem for the equations of an ideal fluid	1983	A. V. Kazhikhov В. В. Рагулин
+	THEOREM. If the conditions A, B hold, then the system L~=~ has for any f~H4~) a unique solution ~ ~ ~Io(~) The uniqueness of the solution follows from the estimate IILu~ >/(Z It&~ b6 Q ~o(~). In conclusion we note that the condition B is strict. An example is known to the authors,	1983	A. V. Kazhikhov В. В. Рагулин
+	Cauchy problem for viscous gas equations	1982	A. V. Kazhikhov
+	Existence Theorems for the Equations of Motion of a Compressible Viscous Fluid	1981	V. A. Solonnikov A. V. Kazhikhov
+	A comment on the formulation of a flow problem for the equations of an ideal fluid	1980	A. V. Kazhikhov
+	Note on the formulation of the problem of flow through a bounded region using equations of perfect fluid	1980	A. V. Kazhikhov
+	A flow problem for ideal-fluid equations	1980	A. V. Kazhikhov В. В. Рагулин
+	The correctness of boundary-value problems in a diffusion model of an inhomogeneous liquid	1977	A. V. Kazhikhov Ш. Смагулов
+	Global solvability of one-dimensional initial-boundary value problems for the equations of a viscous and heat-conducting gas	1977	A. V. Kazhikhov
+	Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas	1977	A. V. Kazhikhov V. V. Shelukhin

Common Coauthors

Coauthor	Papers Together
Vladimir Ragulin	3
Ш. Смагулов	1
В. А. Вайгант	1
A. E. Mamontov	1
Peter Constantin	1
V. V. Shelukhin	1
И. А. Калиев	1
V. B. Nikolaev	1
V. A. Solonnikov	1
J M Lemoine	1
B. V. Gatapov	1
Seiji Uka	1
Didier Bresch	1
Giovanni Gallavotti	1
Lu Min	1
Alexandre E. Mamontov	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The initial value problem for the equations of motion of viscous and heat-conductive gases	1980	Akitaka Matsumura Takaaki Nishida	5
+	Ordinary differential equations, transport theory and Sobolev spaces	1989	Ronald J. DiPerna Pierre Louis Lions	4
+ PDF Chat	On the temporally global problem of the generalized Burgers’ equation	1974	Nobutoshi Itaya	3
+ PDF Chat	On the First Initial-Boundary Value Problem of Compressible Viscous Fluid Motion	1977	Atusi Tani	3
+	On classical solutions of the two-dimensional non-stationary Euler equation	1967	Tosio Kato	3
+	Convex functions and Orlicz spaces	1961	M. A. Krasnosel’skii I︠a︡. B. Rutit︠s︡kiĭ Leo F. Boron	3
+	On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid	1995	В. А. Вайгант A. V. Kazhikhov	2
+ PDF Chat	A survey on the generalized Burgers’ equation with a pressure model term	1976	Nobutoshi Itaya	2
+ PDF Chat	Solvability of the initial-boundary-value problem for the equations of motion of a viscous compressible fluid	1980	V. A. Solonnikov	2
+ PDF Chat	The convergence with vanishing viscosity of nonstationary Navier-Stokes flow to ideal flow in $R\sb{3}$	1971	Howard Swann	2
+ PDF Chat	On the uniqueness of weak solutions of the two-dimensional primitive equations	2003	Didier Bresch Francisco Guillén‐González Nader Masmoudi María Ángeles Rodríguez‐Bellido	2
+	On a certain class of convex functions and the exact well-posedness classes of the Cauchy problem for the transport equation in orlicz spaces	1998	A. V. Kazhikhov A. E. Mamontov	2
+	Axially symmetric flows of ideal and viscous fluids filling the whole space	1968	M.R. Ukhovskii V.I. Iudovich	2
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	2
+	Un theor�me sur l'existence du mouvement plan d'un fluide parfait, homog�ne, incompressible, pendant un temps infiniment long	1933	W. Wolibner	2
+ PDF Chat	Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity	1973	O. A. Ladyzhenskaya	2
+	Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data	1995	David Hoff	2
+	Generalized Analytic Functions	2006	I. Vekua	2
+ PDF Chat	Best constant in Sobolev inequality	1976	Giorgio Talenti	2
+	Global Solutions of the Navier-Stokes Equations for Multidimensional Compressible Flow with Discontinuous Initial Data	1995	D. Hoff	1
+ PDF Chat	A steady-state Boussinesq-Stefan problem with continuous extraction	1986	José Francisco Rodrigues	1
+	ON CLASSICAL SOLVABILITY OF THE MULTIDIMENSIONAL STEFAN PROBLEM FOR CONVECTIVE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID	1988	B. V. Bazalii S. P. Degtyarev	1
+	On the uniqueness of compressible fluid motions	1959	James Serrin	1
+	Functional Analysis: Theory and Applications	1965	Ralph E. Edwards	1
+	Conduction-convection problems with change of phase	1986	Emmanuele DiBenedetto Avner Friedman	1
+	The bidmensional stefan problem with convection: the time dependent case	1983	John R. Cannon Emmanuele DiBenedetto George H. Knightly	1
+	On the Two-Dimensional Hydrostatic Navier--Stokes Equations	2004	Didier Bresch A. V. Kazhikhov J M Lemoine	1
+ PDF Chat	Navier-stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case	1986	Alberto Valli Wojciech M. Zajączkowski	1
+	Regularity results for the stationary primitive equations of the atmosphere and the ocean	1997	Mohammed Ziane	1
+	Linear and Quasi-linear Equations of Parabolic Type	1968	O. Ladyženskaja V. A. Solonnikov N. Ural’ceva	1
+	The equations of potential flow of compressible viscous fluid at low Reynolds number	1994	A. V. Kazhikhov	1
+	Three-dimensional conduction-convection problems with change of phase	1993	Emmanuele DiBenedetto M. O'Leary	1
+ PDF Chat	On the First Initial-Boundary Value Problem of the Generalized Burgers' Equation	1974	Atusi Tani	1
+	On the Cauchy Problem for Boltzmann Equations: Global Existence and Weak Stability	1989	Ronald J. DiPerna Pierre‐Louis Lions	1
+	Weakly Differentiable Functions	1989	William P. Ziemer	1
+ PDF Chat	Linear transport equations with initial values in Sobolev spaces and application to the Navier-Stokes equations	1997	Benoı̂t Desjardins	1
+	Semicontinuity of certain functions related to a multivalued mapping	1979	I. S. Brandt	1
+ PDF Chat	Some estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation	1992	Olivier Besson Mohamed Rachid Laydi	1
+	Ordinary Differential Equations	2002	Philip Hartman	1
+	Quelques méthodes de résolution des problèmes aux limites non linéaires	1969	Jacques Louis Lions	1
+	Generalized Analytic Functions.	1964	Avner Friedman I. N. Vekua	1
+	Compensated compactness and Hardy spaces	1993	Ronald R. Coifman Pierre Louis Lions Yves Meyer Stephen Semmes	1
+ PDF Chat	Anisotropic estimates and strong solutions of the primitive equations	2001	Francisco Guillén‐González Nader Masmoudi María Ángeles Rodríguez‐Bellido	1
+ PDF Chat	The derivation algebras of the classical infinite Lie algebras	1976	Tôhru Morimoto	1
+ PDF Chat	On the initial value problem of the motion of compressible viscous fluid, especially on the problem of uniqueness	1976	Nobutoshi Itaya	1
+	Global Solutions to the Cauchy Problem of the Stokes Approximation Equations for Two-Dimensional Compressible Flow	1998	Lu Min Akexandre V. Kazhikhov 正二鵜飼	1
+	Weak and Measure-valued Solutions to Evolutionary PDEs	2019	Josef Málek J. Nečas Mirko Rokyta Michael Růžička	1
+	Anisotropic estimates and strong solutions of the primitive equations	2001	Francisco Guillén‐González Nader Masmoudi MA Rodriguez-Bellido	1
+	Partial Differential Equations of Parabolic Type	1964	Avner Friedman	1
+ PDF Chat	Navier-Stokes equations in three-dimensional thin domains with various boundary conditions	1996	Roger Témam Mohammed Ziane	1