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

V. A. Solonnikov

Type: Article

Publication Date: 1977-12-31

Citations: 105

DOI: https://doi.org/10.1070/im1977v011n06abeh001770

View Publication

Locations

Mathematics of the USSR-Izvestiya - View

Similar Works

Action	Title	Year	Authors
+	Solvability of a Free Boundary Problem for the Navier-Stokes Equations Describing the Motion of Viscous Incompressible Nonhomogeneous Fluid	2005	E. V. Frolova
+ PDF Chat	Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation	2013	Yoshiaki Kusaka
+ PDF Chat	Unsteady motion of a finite mass of fluid, bounded by a free surface	1988	V. A. Solonnikov
+	ON THE TRANSIENT MOTION OF AN ISOLATED VOLUME OF VISCOUS INCOMPRESSIBLE FLUID	1988	V. A. Solonnikov
+ PDF Chat	On local existence of solutions of the free boundary problem for an incompressible viscous self-gravitating fluid motion	2000	Piotr B. Mucha Wojciech M. Zajączkowski
+	Solvability of a three-dimensional boundary value problem with a free surface for the stationary Navier-Stokes system	1983	V. A. Solonnikov
+	Local Solvability of Free Boundary Problems for the Two-phase Navier-Stokes Equations with Surface Tension in the Whole Space	2011	Senjo Shimizu
+ PDF Chat	Global well-posedness of unsteady motion of viscous incompressible capillary liquid bounded by a free surface	2018	Yoshihiro Shibata
+	On Nonstationary Motion of a Compressible Barotropic Viscous Capillary Fluid Bounded by a Free Surface	1994	Wojciech M. Zajączkowski
+ PDF Chat	The initial-value problem for the Navier-Stokes equations with a free surface in $L^q$-Sobolev spaces	2005	Helmut Abels
+ PDF Chat	$L_2$-theory for two incompressible fluids separated by a free interface	2018	И. В. Денисова V. A. Solonnikov
+	A priori estimates for the motion of a self-gravitating incompressible liquid with free surface boundary	2008	Hand Lindblad Karl Håkan Nordgren
+ PDF Chat	Report on a local in time solvability of free surface problems for the Navier–Stokes equations with surface tension	2010	Yoshihiro Shibata Senjo Shimizu
+	Well-posedness for the motion of an incompressible liquid with free surface boundary	2004	Hans Lindblad
+ PDF Chat	Well-posedness for the motion of an incompressible liquid with free surface boundary	2005	Hans Lindblad
+ PDF Chat	Analysis of a system modelling the motion of a piston in a viscous gas	2016	Debayan Maity Takéo Takahashi Marius Tucsnak
+ PDF Chat	Free boundary problem for a viscous heat-conducting flow with surface tension	2002	Ewa Zadrzyńska
+	Global solvability of the Navier-Stokes equations with a free surface in the maximal $L_p\text{-}L_q$ regularity class	2017	Hirokazu Saito
+ PDF Chat	On the Solvability of the Initial Boundary Value Problem for a System of Equations Describing the Motion of Magma	2017	Alexandr Alexeevich Papin Margarita A. Tokareva
+	Classical solvability of a stationary free boundary problem for an incompressible viscous fluid describing the process of interface formation	2014	Yoshiaki Kusaka

Works That Cite This (86)

Action	Title	Year	Authors
+ PDF Chat	Global Well-Posedness of Free Interface Problems for the Incompressible Inviscid Resistive MHD	2021	Yanjin Wang Zhouping Xin
+	Local Existence and Uniqueness of Heat Conductive Compressible Navier–Stokes Equations in the Presence of Vacuum Without Initial Compatibility Conditions	2023	Jinkai Li Yasi Zheng
+	Mathematical derivation of viscous shallow-water equations with zero surface tension	2011	Didier Bresch Pascal Noble
+	Global well‐posedness and large time behavior to the two‐phase compressible‐incompressible flow with free boundary	2020	Niannian Yan Bin Zhao
+ PDF Chat	Incompressible limit for the free surface Navier-Stokes system	2023	Nader Masmoudi Frédéric Rousset Changzhen Sun
+ PDF Chat	Existence for an Unsteady Fluid-Structure Interaction Problem	2000	Céline Grandmont Yvon Maday
+	Regularity Results for Two-Dimensional Flows of Multiphase Viscous Fluids	1997	Benoı̂t Desjardins
+	On a Class of Energy Preserving Boundary Conditions for Incompressible Newtonian Flows	2012	Dieter Bothe Matthias Köhne Jan Prüß
+	On the existence of free surface problem for viscous incompressible flow	2000	Rodolfo Salvi
+	Classical Well-Posedness of Free Boundary Problems in Viscous Incompressible Fluid Mechanics	2017	V. A. Solonnikov И. В. Денисова

Works Cited by This (0)

Action	Title	Year	Authors