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Method and Algorithm for Calculating Isobaric and Nonisobaric Three-Dimensional Turbulent Jets of Reacting Gases
AbstractThis paper presents a calculation method and algorithm, as well as numerical results of studying chemically reacting turbulent jets based on...
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Steady-State Flows of Ideal Incompressible Fluid with Velocity Pointwise Orthogonal to the Pressure Gradient
A new important relation between fluid mechanics and differential geometry is established. We study smooth steady solutions to the Euler equations...
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Nonstaggered Central Scheme Under Steady-State Discretization for Solving the Ripa Model
The paper proposed the moving-water equilibrium nonstaggered central scheme for the Ripa model via the flux globalization. The traditional quadrature...
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One-Dimensional Lattice Gases with Linear Interaction
This chapter gives an introduction to the statistical mechanics of lattice gases. The lattice gas with universal attractive interactions is used to...
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Quasi-Newton Single-Phase Stability Testing without Explicit Hessian Calculation
AbstractA robust algorithm (solver) for testing the single-phase stability of a multicomponent fluid under isochoric-isobaric conditions is...
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Eisenstein Series
In this chapter we survey the theory of Eisenstein series. Our main goal is to state Langlands’ decomposition of...
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Known Cases of Global Langlands Functoriality
Over number fields the global Langlands functoriality conjecture is wide open. Despite this, several important cases have been established. We survey...
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Centralizers of Linear and Locally Nilpotent Derivations
Let 𝕂 be an algebraically closed field of characteristic zero, let 𝕂[ x 1 ,…, x n ] be the polynomial algebra, and let W n (𝕂) be the Lie algebra of all...
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Rankin-Selberg L-functions
In this chapter we sketch the theory of generic representations and Rankin-Selberg L-functions.
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A Mathematical Model of Carbon Capture by Adsorption
We present a model to describe the capture of carbon by an adsorbing porous material occupying a circular cross-sectional column. The model consists...
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Rationality for isobaric automorphic representations: the CM-case
In this note we prove a simultaneous extension of the author’s joint result with M. Harris for critical values of Rankin–Selberg L -functions
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Unramified Representations
In this chapter, we describe the classification of unramified representations of reductive groups over non-Archimedean local fields. Along the way,...
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Langlands Functoriality
Langlands functoriality has been a driving force in number theory, representation theory, and beyond since it was first posed in a famous letter of...
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The practice of principles: Planck’s vision of a relativistic general dynamics
Planck’s pioneering contributions to special relativity have received less consideration than one might expect in the historiography and philosophy...
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Further Results on Classes of Good Rings
This chapter is dedicated to miscellaneous results connected with the topics of the book. Mainly this refers to morphisms whose fibres are complete...
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High Order Still-Water and Moving-Water Equilibria Preserving Discontinuous Galerkin Methods for the Ripa Model
Shallow water equations with horizontal temperature gradients, also known as the Ripa system, are used to model flows when the temperature...
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Experimental Studies of Seasonal Weather Predictability Based on the INM RAS Climate Model
AbstractThe technology is described for constructing the set of the initial data using the technique of eliminating the model’s bias for seasonal...
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Regularized periods and the global Gan–Gross–Prasad conjecture: the case of \(U(n+2r) \times U(n)\)
In this paper, we introduce regularized trilinear periods on certain non-reductive groups. It has two direct applications. Firstly, it enables us to...
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An Accurate Alternative Method to Introduce Mixed Einstein–Debye Model for Molar Heat Capacity and the Exact Analytical Integral-Free Solution to Its Resulting Integration
In this research, a new different method has been proposed to combine the Einstein and Debye models for molar heat capacity at constant volume (c v )...
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High-Performance Computing as a Key to New Insights into Thermodynamics
High-performance computing plays an increasing role in engineering since it allows for the investigation of problems on multiple scales. Outstanding...