Existence and uniqueness properties for the one‐dimensional magnetotellurics inversion problem

1986 ◽  
Vol 27 (2) ◽  
pp. 645-649 ◽  
Author(s):  
John A. MacBain ◽  
J. Bee Bednar
Keyword(s):  
Existence And Uniqueness ◽  
Inversion Problem ◽  
One Dimensional ◽  
The One

Smooth solution to the one-dimensional inhomogeneous non-automorphic Landau–Lifshitz equation

2006 ◽  
Vol 462 (2072) ◽  
pp. 2397-2413 ◽  
Author(s):  
Junyu Lin ◽  
Shijin Ding
Keyword(s):  
Difference Method ◽  
Existence And Uniqueness ◽  
Smooth Solution ◽  
One Dimension ◽  
Initial Value ◽  
One Dimensional ◽  
Uniform Estimates ◽  
Lifshitz Equation ◽  
Orthogonal Base ◽  
The One

Using the differential–difference method and viscosity vanishing approach, we obtain the existence and uniqueness of the global smooth solution to the periodic initial-value problem of the inhomogeneous, non-automorphic Landau–Lifshitz equation without Gilbert damping terms in one dimension. To establish the uniform estimates, we use some identities resulting from the fact and the fact that the vectors form an orthogonal base of the space .

scholarly journals On the thermoelasticity with two porosities: asymptotic behaviour

2018 ◽  
Vol 24 (9) ◽  
pp. 2713-2725 ◽  
Author(s):  
N. Bazarra ◽  
J.R. Fernández ◽  
M.C. Leseduarte ◽  
A. Magaña ◽  
R. Quintanilla
Keyword(s):  
Asymptotic Stability ◽  
Exponential Decay ◽  
Existence And Uniqueness ◽  
Semigroup Theory ◽  
Sufficient Conditions ◽  
Uniqueness Result ◽  
Porous Structures ◽  
One Dimensional ◽  
Dimensional Version ◽  
The One

In this paper we consider the one-dimensional version of thermoelasticity with two porous structures and porous dissipation on one or both of them. We first give an existence and uniqueness result by means of semigroup theory. Exponential decay of the solutions is obtained when porous dissipation is assumed for each porous structure. Later, we consider dissipation only on one of the porous structures and we prove that, under appropriate conditions on the coefficients, there exists undamped solutions. Therefore, asymptotic stability cannot be expected in general. However, we are able to give suitable sufficient conditions for the constitutive coefficients to guarantee the exponential decay of the solutions.

scholarly journals INVESTIGATION OF STATIONARY SOLUTIONS OF VISCOELASTIC MELT SPINNING EQUATIONS AND STABILITY WITH RESPECT TO INCREASING VISCOELASTICITY

2010 ◽  
Vol 15 (3) ◽  
pp. 287-298 ◽  
Author(s):  
R. Dhadwal ◽  
S. K. Kudtarkar
Keyword(s):  
Constitutive Equation ◽  
Numerical Simulations ◽  
Existence And Uniqueness ◽  
Melt Spinning ◽  
Stationary Solutions ◽  
Model Parameter ◽  
One Dimensional ◽  
Spinning Process ◽  
The Stability ◽  
The One

The one‐dimensional equations governing the formation of viscoelastic fibers using Giesekus constitutive equation were studied. Existence and uniqueness of stationary solutions was shown and relation between the stress at the spinneret and the take‐up velocity was found. Further, the value of the Giesekus model parameter for which the fibre exhibits Newtonian behaviour was found analytically. Using numerical simulations it was shown that below this value of the parameter the fluid shows extension thickening behaviour and above, extension thinning. In this context, by simulating the non‐stationary equations the effect of viscoelasticity on the stability of the spinning process was studied.

Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors

2002 ◽  
Vol 132 (2) ◽  
pp. 359-378 ◽  
Author(s):  
Hailiang Li ◽  
Peter Markowich ◽  
Ming Mei
Keyword(s):  
Steady State ◽  
Asymptotic Behaviour ◽  
Small Perturbation ◽  
Hydrodynamic Model ◽  
Existence And Uniqueness ◽  
Steady State Solution ◽  
State Solution ◽  
Energy Estimates ◽  
One Dimensional ◽  
The One

Degond and Markowich discussed the existence and uniqueness of a steady-state solution in the subsonic case for the one-dimensional hydrodynamic model of semiconductors. In the present paper, we reconsider the existence and uniqueness of a globally smooth subsonic steady-state solution, and prove its stability for small perturbation. The proof method we adopt in this paper is based on elementary energy estimates.

THE SCALAR KELLER–SEGEL MODEL ON NETWORKS

2013 ◽  
Vol 24 (02) ◽  
pp. 221-247 ◽  
Author(s):  
R. BORSCHE ◽  
S. GÖTTLICH ◽  
A. KLAR ◽  
P. SCHILLEN
Keyword(s):  
Network Model ◽  
Existence And Uniqueness ◽  
Computational Studies ◽  
One Dimensional ◽  
First Order ◽  
General Network ◽  
Uniqueness Of The Solution ◽  
Order Scheme ◽  
Network Topologies ◽  
The One

In this work, we extend the one-dimensional Keller–Segel model for chemotaxis to general network topologies. We define appropriate coupling conditions ensuring the conservation of mass and show the existence and uniqueness of the solution. For our computational studies, we use a positive preserving first-order scheme satisfying a network CFL condition. Finally, we numerically validate the Keller–Segel network model and present results regarding special network geometries.

scholarly journals An Initial Boundary Value Problem for the Zakharov Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Quankang Yang ◽  
Charles Bu
Keyword(s):  
Boundary Value Problem ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Zakharov Equation ◽  
One Dimensional ◽  
Global Strong Solution ◽  
The One ◽  
Initial Boundary Value

This paper studies an inhomogeneous initial boundary value problem for the one-dimensional Zakharov equation. Existence and uniqueness of the global strong solution are proved by Galerkin’s method and integral estimates.

Exploring the Multidimensional Facets of Authoritarianism: Authoritarian Aggression and Social Dominance Orientation

2008 ◽  
Vol 67 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Stefano Passini
Keyword(s):  
Social Dominance ◽  
Factor Model ◽  
Three Dimensional ◽  
Social Dominance Orientation ◽  
Model Fit ◽  
Regression Analyses ◽  
One Dimensional ◽  
Confirmatory Factor ◽  
The One ◽  
Better Than

The relation between authoritarianism and social dominance orientation was analyzed, with authoritarianism measured using a three-dimensional scale. The implicit multidimensional structure (authoritarian submission, conventionalism, authoritarian aggression) of Altemeyer’s (1981, 1988) conceptualization of authoritarianism is inconsistent with its one-dimensional methodological operationalization. The dimensionality of authoritarianism was investigated using confirmatory factor analysis in a sample of 713 university students. As hypothesized, the three-factor model fit the data significantly better than the one-factor model. Regression analyses revealed that only authoritarian aggression was related to social dominance orientation. That is, only intolerance of deviance was related to high social dominance, whereas submissiveness was not.

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