Exact Solution for Non-Self-Similar Wave-Interaction Problem during Two-Phase Four-Component Flow in Porous Media by S. Borazjani, P. Bedrikovetsky, R. Farajzadeh

“…We derive the exact solution for 3×3 hyperbolic system of conservation laws that corresponds to two-phase four-component flow in porous media where sorption of the third component depends on its own concentration in water and also on the fourth component concentration. …”
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A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids by Hongwei Yang, Qingfeng Zhao, Baoshu Yin, Huanhe Dong

“…By analyzing the equation, some conservation laws associated with Rossby solitary waves are derived. …”
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A Numerical Scheme Based on an Immersed Boundary Method for Compressible Turbulent Flows with Shocks: Application to Two-Dimensional Flows around Cylinders by Shun Takahashi, Taku Nonomura, Kota Fukuda

“…The turbulent flow region is modeled by a second-order pseudo skew-symmetric form with minimum dissipation, while the monotone upstream-centered scheme for conservation laws (MUSCL) scheme is employed in the shock region. …”
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Numerical Simulation of Unsteady Compressible Flow in Convergent Channel: Pressure Spectral Analysis by Petra Pořízková, Karel Kozel, Jaromír Horáček

“…Due to the motion of the grid, the basic system of conservation laws is considered in the arbitrary Lagrangian-Eulerian (ALE) form. …”
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Scalar Field Kantowski–Sachs Solutions in Teleparallel <i>F</i>(<i>T</i>) Gravity by Alexandre Landry

“…We begin by setting the exact field equations to be solved and solve conservation laws for possible scalar field potential, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>V</mi><mfenced open="(" close=")"><mi>ϕ</mi></mfenced></mrow></semantics></math></inline-formula>, solutions. …”
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Study of baryon-strangeness and charge-strangeness correlations in Pb–Pb collisions at √sNN = 5.02 TeV with ALICE by Saha Swati

“…Theoretical predictions from the Thermal-FIST model are compared with experimental results, providing insights into the effects of resonance decays and charge conservation laws on the correlations.…”
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Application of fluid dynamics in modeling the spatial spread of infectious diseases with low mortality rate: A study using MUSCL scheme by Nnaji Daniel Ugochukwu, Kiogora Phineas Roy, Onah Ifeanyi Sunday, Mung’atu Joseph, Aguegboh Nnaemeka Stanley

“…The Monotone Upwind Scheme for Conservation Laws is employed to enhance the accuracy of numerical solutions, providing a high-resolution approach for capturing disease transmission patterns. …”
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Approach in Theory of Nonlinear Evolution Equations: The Vakhnenko-Parkes Equation by V. O. Vakhnenko, E. J. Parkes

“…A Bäcklund transformation for the VPE is used to construct conservation laws. The standard IST method for third-order spectral problems is used to investigate solutions corresponding to bound states of the spectrum and to a continuous spectrum. …”
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Reducing Nitrogen Waste: Factors Influencing Neem‐Coated Urea Adoption in Bhutan by Toritseju Begho, Tashi Dorji, Sonam Dendup

“…ABSTRACT In Bhutan, farmers face constraints due to limited arable land, prompting a need to increase agricultural production per unit of inputs, but in the most sustainable way given the nation’s most stringent environmental conservation laws. This study investigates the factors influencing the adoption of an enhanced‐efficiency fertiliser, that is, neem‐coated urea (NCU). …”
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Fractional Theoretical Model for Gravity Waves and Squall Line in Complex Atmospheric Motion by Liguo Chen, Liangui Yang

“…By obtaining the exact solution and the conservation laws, the fission properties of algebraic gravity solitary waves are discussed. …”
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On quasi-integrable deformation scheme of the KdV system by Kumar Abhinav, Partha Guha

“…The standard abelianization process based on the inherent sl(2) loop algebra leads to an infinite number of anomalous conservation laws, that yield conserved charges for definite space-time parity of the solution. …”
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On-shell approach to black hole mergers by Katsuki Aoki, Andrea Cristofoli, Yu-tin Huang

“…Using the Kosower-Maybee-O’Connell (KMOC) formalism, we then reproduce the classical conservation laws for momentum and angular momentum after the merger. …”
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MHD flow of Williamson nanofluid using effective similarity variable considering viscous dissipation and thermal radiation over a non-linear stretching surface via OHAM by Muhammad Awais Sherani, Muhammad Sohail, Ibrahim Mahariq, Syed Tehseen Abbas

“…This evaluation goes beyond the localized impacts usually taken into account in each linear and non-linear stretching scenario, and instead focuses on global impact of the not Newtonian Williamson fluid factor. The conservation laws of mass, momentum, and energy which are represented as partial differential equations form the foundation of the mathematical model. …”
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Significance of Nonsimilar Numerical Simulations in Forced Convection from Stretching Cylinder Subjected to External Magnetized Flow of Sisko Fluid by Jifeng Cui, Umer Farooq, Ahmed Jan, Murtada K. Elbashir, Waseem Asghar Khan, Mogtaba Mohammed, Ziyad Ali Alhussain, Jamshaid Ul Rahman

“…The governing equations for axisymmetric flow that include the mass balance, x-momentum, and heat equation are modeled through conservation laws. The dimensionless system is developed by employing appropriate nonsimilar transformations. …”
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On Cattaneo-Chrystov heat flux model for nanofluid flow on Darcy–Forchheimer porous medium past unsteady stretching cylinder by Sreedhar Sobhanapuram, S.V.V Rama Devi, Charankumar Ganteda, Rajyalakshmi Kottapalli, Vediyappan Govindan, Haewon Byeon, Busayamas Pimpunchat

“…The governing boundary evaluates issue of the flow regime is formulated utilizing the conservation laws of mass, momentum, energy. A couple of nonlinear partial differential constitutions are used to express the flow. …”
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Exploring household water conservation behaviors in Saudi Arabia: A structural equation modeling approach by Abdulaziz I. Almulhim, Ismaila Rimi Abubakar

“…Participants indicate their support for public awareness campaigns for promoting water conservation, but they showed resistance to the idea of raising water tariffs (λ = 0.435) and implementing water conservation laws with fines for violators (λ = 0.318) as water conservation policies. …”
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