𝐿_{𝑝}-estimates of solution of the free boundary problem for viscous compressible and incompressible fluids in the linear approximation

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Propagation of 𝐿^{𝑞}_{𝑘}-smoothness for solutions of the Euler equation	1989	Gustavo Ponce
+	Local well-posedness to the vacuum free boundary problem of full compressible Navier-Stokes equations in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>	2021	Yuhui Chen Jingchi Huang Chao Wang Zhengzhen Wei
+	ON THE REGULARIZATION OF EQUATIONS OF THE MECHANICS OF MIXTURES OF VISCOUS COMPRESSIBLE FLUIDS	2017	N. A. Kucher N. A. Kucher Aleksandra Zhalnina Aleksandra Zhalnina
+ PDF Chat	Well‐posedness for the linearized motion of an incompressible liquid with free surface boundary	2002	Hans Lindblad
+ PDF Chat	Global asymptotics toward the rarefaction wave for solutions of viscous 𝑝-system with boundary effect	2000	Akitaka Matsumura Kenji Nishihara
+	Local L 2-Solvability of the Problem with Nonnegative Coefficient of Surface Tension	2021	И. В. Денисова V. A. Solonnikov
+ PDF Chat	L p -Estimates for a Linear Problem Arising in the Study of the Motion of an Isolated Liquid Mass	2013	V. A. Solonnikov
+	A priori estimates of local solutions to compressible Navier-Stokes equations with free boundary	2019	Huihui Kong Chuangchuang Liang
+ PDF Chat	Lower bound of decay rate for higher-order derivatives of solution to the compressible fluid models of Korteweg type	2020	Jincheng Gao Zeyu Lyu Zheng‐an Yao
+ PDF Chat	Pointwise properties of &lt;inline-formula&gt;&lt;tex-math id="M1"&gt;\begin{document}$ L^p $\end{document}&lt;/tex-math&gt;&lt;/inline-formula&gt;-viscosity solutions of uniformly elliptic equations with quadratically growing gradient terms	2020	Andrzej Święch
+	Maximal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msub><mml:mi>L</mml:mi><mml:mi>q</mml:mi></mml:msub></mml:math> regularity of the linearized initial–boundary value problem for motion of compressible viscous fluids	2011	Ryôhei Kakizawa
+	Analysis of several non-linear PDEs in fluid mechanics and differential geometry	2017	Siran Li
+ PDF Chat	Well-Posedness for the Linearized Motion of a Compressible Liquid with Free Surface Boundary	2003	Hans Lindblad
+ PDF Chat	$ W^{2, p} $-regularity for asymptotically regular fully nonlinear elliptic and parabolic equations with oblique boundary values	2021	Junjie Zhang Shenzhou Zheng Chunyan Zuo
+ PDF Chat	Analysis of nonlocal model of compressible fluid in 1-D	2010	Ewelina Zatorska
+	Qualitative study of solutions of the system of Navier-Stokes equations with variable density	2017	Xin Zhang
+	$L_{p}$-estimates for a viscous compressible fluid in an infinite time interval (model problems) (Mathematical Analysis of Viscous Incompressible Fluid)	2015	V. A. Solonnikov
+ PDF Chat	The Maximal Regularity and its Application to A Multi-Dimensional Non-Conservative Viscous Compressible Two-Fluid Model with Capillarity Effects in $L^{ P}$-Type Framework	2023	Fuyi Xu
+ PDF Chat	Bounded solutions of the equation Δ𝑢=𝑝𝑢 on a Riemannian manifold	1974	Young Koan Kwon
+ PDF Chat	On the Maximal Lp-Lq Regularity Theorem for the Linearized Electro-Magnetic Field Equations with Interface Conditions	2022	E. V. Frolova Yoshihiro Shibata

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (8)

Action	Title	Year	Authors
+	Global solvability of a problem governing the motion of two incompressible capillary fluids in a container	2012	И. В. Денисова V. A. Solonnikov
+ PDF Chat	L p -Estimates for a Linear Problem Arising in the Study of the Motion of an Isolated Liquid Mass	2013	V. A. Solonnikov
+ PDF Chat	Estimates of solutions of a general initial-boundary-value problem for the linear nonstationary system of Navier-Stokes equations in a half-space	1983	I. Sh. Mogilevskii
+	On Energy Inequality for the Problem on the Evolution of Two Fluids of Different Types Without Surface Tension	2015	И. В. Денисова
+ PDF Chat	Evolution of compressible and incompressible fluids separated by a closed interface	2000	И. В. Денисова
+ PDF Chat	On the ℛ-boundedness for the two phase problem: compressible-incompressible model problem	2014	Takayuki Kubo Yoshihiro Shibata Kohei Soga
+	Moving Interfaces and Quasilinear Parabolic Evolution Equations	2016	Jan Prüß Gieri Simonett
+	On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a free interface	2019	V. A. Solonnikov