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S. Pranesh - One of the best experts on this subject based on the ideXlab platform.

Ouayl Chadli - One of the best experts on this subject based on the ideXlab platform.

  • noncoercive stationary navier stokes equations of heat Conducting Fluids modeled by hemivariational inequalities an equilibrium problem approach
    Results in Mathematics, 2019
    Co-Authors: Suliman Alhomidan, Qamrul Hasan Ansari, Ouayl Chadli
    Abstract:

    In this paper, we study the existence of solutions for noncoercive stationary Navier–Stokes equations of heat-Conducting Fluids with nonmonotone boundary conditions modeled by hemivariational inequalities. Our method is new and differs from most of the existing techniques developed in the literature. It is based on a recent approach developed on the existence of solutions for mixed equilibrium problems described by the sum of a maximal monotone bifunction and a pseudomonotone bifunction in the sense of Brezis. We introduce a Browder–Tikhonov regularization method for mixed equilibrium problems by means of the duality mapping with gauge function $$\mu (t)$$. By using this regularization procedure and techniques from the recession analysis, we study the existence of solutions for the problem considered in this paper.

  • Noncoercive Stationary Navier–Stokes Equations of Heat-Conducting Fluids Modeled by Hemivariational Inequalities: An Equilibrium Problem Approach
    Results in Mathematics, 2019
    Co-Authors: Suliman Al-homidan, Qamrul Hasan Ansari, Ouayl Chadli
    Abstract:

    In this paper, we study the existence of solutions for noncoercive stationary Navier–Stokes equations of heat-Conducting Fluids with nonmonotone boundary conditions modeled by hemivariational inequalities. Our method is new and differs from most of the existing techniques developed in the literature. It is based on a recent approach developed on the existence of solutions for mixed equilibrium problems described by the sum of a maximal monotone bifunction and a pseudomonotone bifunction in the sense of Brézis. We introduce a Browder–Tikhonov regularization method for mixed equilibrium problems by means of the duality mapping with gauge function $$\mu (t)$$ μ ( t ) . By using this regularization procedure and techniques from the recession analysis, we study the existence of solutions for the problem considered in this paper.

Pradeep G. Siddheshwar - One of the best experts on this subject based on the ideXlab platform.

Qamrul Hasan Ansari - One of the best experts on this subject based on the ideXlab platform.

  • noncoercive stationary navier stokes equations of heat Conducting Fluids modeled by hemivariational inequalities an equilibrium problem approach
    Results in Mathematics, 2019
    Co-Authors: Suliman Alhomidan, Qamrul Hasan Ansari, Ouayl Chadli
    Abstract:

    In this paper, we study the existence of solutions for noncoercive stationary Navier–Stokes equations of heat-Conducting Fluids with nonmonotone boundary conditions modeled by hemivariational inequalities. Our method is new and differs from most of the existing techniques developed in the literature. It is based on a recent approach developed on the existence of solutions for mixed equilibrium problems described by the sum of a maximal monotone bifunction and a pseudomonotone bifunction in the sense of Brezis. We introduce a Browder–Tikhonov regularization method for mixed equilibrium problems by means of the duality mapping with gauge function $$\mu (t)$$. By using this regularization procedure and techniques from the recession analysis, we study the existence of solutions for the problem considered in this paper.

  • Noncoercive Stationary Navier–Stokes Equations of Heat-Conducting Fluids Modeled by Hemivariational Inequalities: An Equilibrium Problem Approach
    Results in Mathematics, 2019
    Co-Authors: Suliman Al-homidan, Qamrul Hasan Ansari, Ouayl Chadli
    Abstract:

    In this paper, we study the existence of solutions for noncoercive stationary Navier–Stokes equations of heat-Conducting Fluids with nonmonotone boundary conditions modeled by hemivariational inequalities. Our method is new and differs from most of the existing techniques developed in the literature. It is based on a recent approach developed on the existence of solutions for mixed equilibrium problems described by the sum of a maximal monotone bifunction and a pseudomonotone bifunction in the sense of Brézis. We introduce a Browder–Tikhonov regularization method for mixed equilibrium problems by means of the duality mapping with gauge function $$\mu (t)$$ μ ( t ) . By using this regularization procedure and techniques from the recession analysis, we study the existence of solutions for the problem considered in this paper.

David Hoff - One of the best experts on this subject based on the ideXlab platform.

  • discontinuous solutions of the navier stokes equations for multidimensional flows of heat Conducting Fluids
    Archive for Rational Mechanics and Analysis, 1997
    Co-Authors: David Hoff
    Abstract:

    We prove the global existence of weak solutions of the Navier-Stokes equations for compressible, heat-Conducting Fluids in two and three space dimensions when the initial density is close to a constant in L 2∩L ∞, the initial temperature is close to a constant in L 2, and the initial velocity is small in H s ∩L 4, where s=0 when n=2 and when n=3. (The L p norms must be weighted slightly when n=2.) In particular, the initial data may be discontinuous across a hypersurface of n . A great deal of qualitative information about the solution is obtained. For example, we show that the velocity, vorticity, and temperature are relatively smooth in positive time, as is the “effective viscous flux”F, which is the divergence of the velocity minus a certain multiple of the pressure. We find that F plays a central role in the entire analysis, particularly in closing the required energy estimates and in understanding rates of regularization near the initial layer. Moreover, F is precisely the quantity through which the hyperbolicity of the corresponding equations for inviscid Fluids shows itself, an effect which is crucial for obtaining time-independent pointwise bounds for the density.