Energy inequality and a matching method for weak solutions of hyperbolic equations with variable-domain piecewise smooth operators

Doklady Mathematics ◽

10.1134/s1064562413010183 ◽

2013 ◽

Vol 87 (1) ◽

pp. 45-49

Author(s):

F. E. Lomovtsev

Keyword(s):

Weak Solutions ◽

Hyperbolic Equations ◽

Energy Inequality ◽

Piecewise Smooth ◽

Variable Domain ◽

Matching Method

Download Full-text

Existence of weak solutions for viscoelastic hyperbolic equations with variable exponents

Boundary Value Problems ◽

10.1186/1687-2770-2013-208 ◽

2013 ◽

Vol 2013 (1) ◽

Author(s):

Yunzhu Gao ◽

Wenjie Gao

Keyword(s):

Weak Solutions ◽

Hyperbolic Equations ◽

Variable Exponents ◽

Existence Of Weak Solutions

Download Full-text

Singularities of the solution of a mixed problem for second-order hyperbolic equations in domains with a piecewise smooth boundary

Russian Mathematical Surveys ◽

10.1070/rm1982v037n01abeh003215 ◽

1982 ◽

Vol 37 (1) ◽

pp. 168-169 ◽

Author(s):

I I Mel'nikov

Keyword(s):

Mixed Problem ◽

Smooth Boundary ◽

Hyperbolic Equations ◽

Second Order ◽

Piecewise Smooth ◽

Piecewise Smooth Boundary

Download Full-text

On energy inequality, smoothness and large time behavior inL 2 for weak solutions of the Navier-Stokes equations in exterior domains

Mathematische Zeitschrift ◽

10.1007/bf01161636 ◽

1988 ◽

Vol 199 (4) ◽

pp. 455-478 ◽

Author(s):

Tetsuro Miyakawa ◽

Hermann Sohr

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Energy Inequality ◽

Large Time Behavior ◽

Navier Stokes ◽

Time Behavior ◽

Exterior Domains ◽

Navier Stokes Equations

Download Full-text

Global weak solutions of the Cauchy problem for semilinear pseudo-hyperbolic equations

Differential Equations ◽

10.1134/s0012266109020049 ◽

2009 ◽

Vol 45 (2) ◽

pp. 175-185 ◽

Author(s):

A. B. Aliev ◽

A. A. Kazymov

Keyword(s):

Cauchy Problem ◽

Weak Solutions ◽

Hyperbolic Equations ◽

Global Weak Solutions ◽

The Cauchy Problem

Download Full-text

Weak Solutions for Hyperbolic Equations

Essentials of Partial Differential Equations ◽

10.1007/978-3-319-90647-8_16 ◽

2018 ◽

pp. 365-377

Author(s):

Marin Marin ◽

Andreas Öchsner

Keyword(s):

Weak Solutions ◽

Hyperbolic Equations

Download Full-text

Abstract linear hyperbolic equations with variable domain

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf01781068 ◽

1983 ◽

Vol 135 (1) ◽

pp. 173-218 ◽

Author(s):

Alberto Arosio

Keyword(s):

Hyperbolic Equations ◽

Variable Domain ◽

Linear Hyperbolic Equations

Download Full-text

On the energy inequality for weak solutions to the three-dimensional compressible magnetohydrodynamic equations

Journal of Mathematical Physics ◽

10.1063/1.5021686 ◽

2018 ◽

Vol 59 (1) ◽

pp. 011507

Author(s):

Xin Liu

Keyword(s):

Weak Solutions ◽

Energy Inequality ◽

Three Dimensional ◽

Magnetohydrodynamic Equations

Download Full-text

On the energy inequality for weak solutions to the Navier–Stokes equations of compressible fluids on unbounded domains

Nonlinear Analysis ◽

10.1016/j.na.2015.07.031 ◽

2015 ◽

Vol 128 ◽

pp. 136-148 ◽

Author(s):

Filippo Dell’Oro ◽

Eduard Feireisl

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Energy Inequality ◽

Unbounded Domains ◽

Compressible Fluids ◽

Navier Stokes ◽

Navier Stokes Equations

Download Full-text

A New Energy Inequality and Partial Regularity for weak Solutions of Navier—Stokes Equations

Journal of Mathematical Fluid Mechanics ◽

10.1007/pl00000963 ◽

2001 ◽

Vol 3 (1) ◽

pp. 40-56 ◽

Author(s):

T. Nagasawa

Keyword(s):

Weak Solutions ◽

Partial Regularity ◽

Stokes Equations ◽

Energy Inequality ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Download Full-text

Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality

Nonlinear Equations and Spectral Theory - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/220/07 ◽

2007 ◽

pp. 141-164 ◽

Author(s):

N. Kikuchi ◽

G. Seregin

Keyword(s):

Cauchy Problem ◽

Weak Solutions ◽

Stokes Equations ◽

Energy Inequality ◽

Navier Stokes ◽

Local Energy ◽

Navier Stokes Equations ◽

The Cauchy Problem

Download Full-text