The equations of moist advection: a unilateral problem

2015 ◽  
Vol 142 (694) ◽  
pp. 143-146 ◽  
Author(s):  
Roger Temam ◽  
Joseph Tribbia
Keyword(s):  
Unilateral Problem

scholarly journals Vibrations of extensible beams: Unilateral problem

2007 ◽  
Vol 334 (1) ◽  
pp. 701-715 ◽  
Author(s):  
M.D.G. da Silva ◽  
L.A. Medeiros ◽  
A.C. Biazutti
Keyword(s):  
Unilateral Problem

On some nonlinear anisotropic elliptic equations in anisotropic Orlicz space

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Omar Benslimane ◽  
Ahmed Aberqi ◽  
Jaouad Bennouna
Keyword(s):  
Orlicz Space ◽  
Bounded Domain ◽  
Polynomial Growth ◽  
Order Term ◽  
Entropy Solutions ◽  
Approximation Procedure ◽  
Content Type ◽  
Unilateral Problem ◽  
Priori Estimates ◽  
Anisotropic Elliptic Equations

PurposeIn the present paper, the authors will discuss the solvability of a class of nonlinear anisotropic elliptic problems (P), with the presence of a lower-order term and a non-polynomial growth which does not satisfy any sign condition which is described by an N-uplet of N-functions satisfying the Δ2-condition, within the fulfilling of anisotropic Sobolev-Orlicz space. In addition, the resulting analysis requires the development of some new aspects of the theory in this field. The source term is merely integrable.Design/methodology/approachAn approximation procedure and some priori estimates are used to solve the problem.FindingsThe authors prove the existence of entropy solutions to unilateral problem in the framework of anisotropic Sobolev-Orlicz space with bounded domain. The resulting analysis requires the development of some new aspects of the theory in this field.Originality/valueTo the best of the authors’ knowledge, this is the first paper that investigates the existence of entropy solutions to unilateral problem in the framework of anisotropic Sobolev-Orlicz space with bounded domain.

scholarly journals Strongly nonlinear elliptic variational unilateral problems in Orlicz space

2006 ◽  
Vol 2006 ◽  
pp. 1-20 ◽  
Author(s):  
L. Aharouch ◽  
A. Benkirane ◽  
M. Rhoudaf
Keyword(s):  
Existence Result ◽  
Order Term ◽  
Natural Growth ◽  
Unilateral Problem ◽  
Strongly Nonlinear ◽  
Nonlinear Elliptic ◽  
Sign Condition ◽  
Carathéodory Function ◽  
Unilateral Problems ◽  
The Right

We will be concerned with the existence result of unilateral problem associated to the equations of the formAu+g(x,u,∇u)=f, whereAis a Leray-Lions operator from its domainD(A)⊂W01LM(Ω)intoW−1EM¯(Ω). On the nonlinear lower order termg(x,u,∇u), we assume that it is a Carathéodory function having natural growth with respect to|∇u|, and satisfies the sign condition. The right-hand sidefbelongs toW−1EM¯(Ω).

Study on the Assemble Interpretation Method of Inter Well Tracer Test

2012 ◽  
Vol 616-618 ◽  
pp. 223-227
Author(s):  
Tong Jing Liu ◽  
Xin Hong Zhang ◽  
Xiao Qing Xie ◽  
Jian Zhou ◽  
Shan Xie
Keyword(s):  
Mathematic Model ◽  
Tracer Test ◽  
Basic Theory ◽  
Test Interpretation ◽  
Unilateral Problem ◽  
Field Practice ◽  
Theory Comparison ◽  
Parameters Inversion ◽  
Interpretation Method ◽  
Interpretation Model

At present, test interpretation technology is still based on the rule and theory during 1960s-1980s, which wasn’t be developed and improved further in view of the new problems in field. The field practice and theory comparison have shown that these basic theory and interpretation model diverges obviously appropriate category, and have the singlet, unilateral problem of considered element, which can’t adapt to the quantification description of complex filtrate in porous medium. The basic theory and mathematic model of tracer test interpretation need to develop further, and interpretation means needs to improve corroboratively. From the point of numerical mathematics, the independent variables in reservoirs were found out and the objective function was constructed. Making use of improved real-number-style inheritance-arithmetic, the unitary parameters inversion and interpretation were accomplished in inter well tracer test.

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