scholarly journals On the particular solution of the nonhomogeneous Riemann problem in the weighted Smirnov classes with the general weight

2020 ◽  
Vol 2 (2) ◽  
pp. 272-283
Author(s):  
Sabina R. Sadigova
Keyword(s):  
Riemann Problem ◽  
General Weight ◽  
Smirnov Classes ◽  
Particular Solution

On Riemann problem in weighted Smirnov classes with power weight

2021 ◽  
Vol 51 (3) ◽  
Author(s):  
Sabina R. Sadigova
Keyword(s):  
Riemann Problem ◽  
Power Weight ◽  
Smirnov Classes

scholarly journals On Riemann problem in weighted Smirnov classes with general weight

2021 ◽  
Vol 25 (1) ◽  
pp. 33-56
Author(s):  
Bilal Bilalov ◽  
Aysel Guliyeva ◽  
Sabina Sadigova
Keyword(s):  
Weight Function ◽  
Unbounded Domains ◽  
Orthogonality Condition ◽  
Measurable Coefficient ◽  
Type Condition ◽  
Power Type ◽  
Special Cases ◽  
General Weight ◽  
Smirnov Classes ◽  
Piecewise Continuous

Weighted Smirnov classes in bounded and unbounded domains are defined in this work. Nonhomogeneous Riemann problems with a measurable coefficient whose argument is a piecewise continuous function are considered in these classes. A Muckenhoupt type condition is imposed on the weight function and the orthogonality condition is found for the solvability of nonhomogeneous problem in weighted Smirnov classes, and the formula for the index of the problem is derived. Some special cases with power type weight function are also considered,and conditions on degeneration order are found.

A LIMITING VISCOSITY APPROACH TO THE RIEMANN PROBLEM FOR TRANSONIC FLOW

1992 ◽  
Vol 12 (2) ◽  
pp. 130-138
Author(s):  
Jiaxin Hu
Keyword(s):  
Riemann Problem ◽  
Transonic Flow

A note on the Riemann problem for shallow water equations with discontinuous topography

2021 ◽  
Vol 116 ◽  
pp. 107042
Author(s):  
Qinglong Zhang ◽  
Wancheng Sheng
Keyword(s):  
Shallow Water ◽  
Riemann Problem ◽  
Shallow Water Equations

scholarly journals AN APPROACH TO SOLVE SLAVNOV–TAYLOR IDENTITY IN D4 ${\mathcal N}=1$ SUPERGRAVITY

2004 ◽  
Vol 19 (17) ◽  
pp. 1291-1296 ◽  
Author(s):  
IGOR KONDRASHUK
Keyword(s):  
Effective Action ◽  
Spin Connection ◽  
Classical Action ◽  
Local Invariant ◽  
Particular Solution ◽  
Physical Part

We consider a particular solution to Slavnov–Taylor identity in four-dimensional supergravity. The consideration is performed for pure supergravity, no matter superfields are included. The solution is obtained by inserting dressing functions into ghost part of the classical action for supergravity. As a consequence, physical part of the effective action is local invariant with respect to diffeomorphism and structure groups of transformation for dressed effective superfields of vielbein and spin connection.

scholarly journals The Multiplication of Distributions in the Study of a Riemann Problem in Fluid Dynamics

2017 ◽  
Vol 24 (3) ◽  
pp. 328-345 ◽  
Author(s):  
C.O.R. Sarrico ◽  
A. Paiva
Keyword(s):  
Fluid Dynamics ◽  
Riemann Problem ◽  
Multiplication Of Distributions

The Riemann problem for one-velocity model of multicomponent mixture

2009 ◽  
Vol 47 (2) ◽  
pp. 263-271 ◽  
Author(s):  
V. S. Surov
Keyword(s):  
Riemann Problem ◽  
Multicomponent Mixture ◽  
Velocity Model

Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order

2012 ◽  
Vol 10 (6) ◽  
Author(s):  
Małgorzata Klimek ◽  
Marek Błasik
Keyword(s):  
Differential Equations ◽  
Arbitrary Order ◽  
Continuous Solution ◽  
Initial Value ◽  
Uniqueness Results ◽  
Banach Theorem ◽  
Arbitrary Partition ◽  
Particular Solution ◽  
Stationary Function ◽  
Fractional Differential

AbstractTwo-term semi-linear and two-term nonlinear fractional differential equations (FDEs) with sequential Caputo derivatives are considered. A unique continuous solution is derived using the equivalent norms/metrics method and the Banach theorem on a fixed point. Both, the unique general solution connected to the stationary function of the highest order derivative and the unique particular solution generated by the initial value problem, are explicitly constructed and proven to exist in an arbitrary interval, provided the nonlinear terms fulfil the corresponding Lipschitz condition. The existence-uniqueness results are given for an arbitrary order of the FDE and an arbitrary partition of orders between the components of sequential derivatives.

scholarly journals Boundedness of Solutions to Differential Equations of Fourth Order with Oscillatory Restoring and Forcing Terms

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Cemil Tunç ◽  
Muzaffer Ateş
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Nonlinear Differential Equation ◽  
Fourth Order ◽  
Cauchy Formula ◽  
Boundedness Of Solutions ◽  
Constant Coefficients ◽  
Particular Solution

This paper deals with the boundedness of solutions to a nonlinear differential equation of fourth order. Using the Cauchy formula for the particular solution of nonhomogeneous differential equations with constant coefficients, we prove that the solution and its derivatives up to order three are bounded.

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