The current status concerning Hardy-type inequalities with sharp constants is presented and described in a unified convexity way. In particular, it is then natural to replace the Lebesgue measure dx with the Haar measure . There are also derived some new two-sided Hardy-type inequalities for monotone functions, where not only the two constants are sharp but also the involved function spaces are ...

The microbial fuel cell (MFC) technology is emerging as an effective technology for wastewater treatment to remove and detect many pollutants and simultaneously generate power. The anode is an essential component for bacterial attachment and extracellular electron transfer (EET). Thus, anode performance is critical for improving an MFC system's overall performance. Materials that are electronically ...

The paper deals with periodic homogenization problem for a para\-bo\-lic equation whose elliptic part is a convolution type operator with rapidly oscillating coefficients. It is assumed that the coefficients are rapidly oscillating periodic functions both in spatial and temporal variables and that the scaling is diffusive that is the scaling factor of the temporal variable is equal to the square of ...

In this paper, we investigate difference-differential operators of parabolic and hyperbolic types. Namely, we considern on-homogenous heat and wave equations for Rubin’s difference operator. Wellposedness results are obtained in appropriate Sobolev type spaces. In particular, we prove that the heat and wave equations generated by Rubin’s difference operator have unique solutions. We even show that ...

This research presents Computational Fluid Dynamics (CFD) simulations in ANSYS® illustrating emissions of to the air. The CFD simulations is employed to study plume transport in urban environment, i.e., Breivika port in the city of Tromsø. The case study presents a two-phase model considering specific wind strength and direction in the city of Tromsø. Geographical coordinates, temperature, and wind ...

A multidimensional Cochran-Lee operator is introduced and investigated in the frame of Hardy-type inequalities with parameters 0<p⩽q<∞. Moreover, for the case p=q and power weights even the sharp constant is derived, thus generalizing the original Cochran-Lee inequality to a multidimensional setting. As applications both several known but also new inequalities are pointed out.

The landscape of engineering is undergoing a transformative evolution, and at its forefront is the paradigm of multiphysics—a revolutionary approach that integrates and simulates multiple physical phenomena within a single computational framework. This abstract explores the significance of multiphysics in shaping the future of engineering and its profound impact on innovation, efficiency, and ...

Surfers daring the harshest waves, including the frigid arctic waters of Norway, rely on wetsuits for extended cold-water sessions. Understanding the thermal behavior of wetsuit materials is crucial for enhancing surfers' comfort and safety. In this study, we investigate the thermal properties of neoprene and natural rubber, the primary materials used in wetsuit construction, with a focus on conductive ...

The International Journal of Multiphysics publishes peer-reviewed original research articles, review papers and communications in the broadly defined field of Multiphysics. The emphasis of this journal is on the theoretical development, numerical modelling and experimental investigations that underpin Multiphysics studies. The scope of the journal is to address the latest advances in theoretical ...

Today, there is an abundance of roof designs for buildings, each possessing distinct characteristics when subjected to snowy and cold conditions. Snow buildup on roofs poses various risks, including structural damage and personal injuries. Snow loads can lead to severe building damage or even collapse. The presence of intricate roof shapes and valleys exacerbates the potential harm caused by snow. ...