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Miroslav Krstić
Miroslav Krstić (Serbian Cyrillic: ''Мирослав Крстић'') is an American control theorist and Distinguished Professor of Mechanical and Aerospace Engineering at the University of California, San Diego (UCSD). Krstić is also the director of the Center for Control Systems and Dynamics at UCSD and a Senior Associate Vice Chancellor for Research. In the list of notable researchers in systems and control, Krstić is the youngest. ScholarGPS ranks him as the world's top control theory author, among more than 750,000 in that field. Education After completing his 5-year BSc degree from University of Belgrade's School of Electrical Engineering in 1989 in the top 1% of his class, and following two years of teaching at University of Belgrade, Krstić moved to the United States for graduate studies in 1991. He wrote his first journal paper a few weeks upon arrival, with a solution that has transformed adaptive control. He received his MSc in electrical engineering in 1992 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pirot
Pirot ( sr-Cyrl, Пирот) is a city and the administrative center of the Pirot District in southeastern Serbia. According to 2022 census, the urban area of the city has a population of 34,942, while the population of the city administrative area has 49,601 inhabitants. The city has rich geographical features, including the mountains of Stara Planina, Vlaška Planina, Belava, Suva Planina; rivers which flow through the town, including Nišava, Jerma, Rasnička Reka, Temštica and the Visočica; and four lakes, the Zavoj Lake, Berovacko Lake, Krupac Lake and Sukovo Lake. It also has a rich culture, with notable Orthodox church buildings, including the Church of St. Petka, and the monastery of St. Georges and St. John the Theologian from the late 14th century, both of which display an example of medieval architecture. Pirot is known for its traditional woven carpet, the Pirot carpet (''Pirot ćilim''). Geography The municipality of Pirot covers an area of , with over sev ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Presidential Early Career Award For Scientists And Engineers
The Presidential Early Career Award for Scientists and Engineers (PECASE) is the highest honor bestowed by the United States federal government on outstanding scientists and engineers in the early stages of their independent research careers. The White House, following recommendations from participating agencies, confers the awards annually. To be eligible for a Presidential Award, an individual must be a U.S. citizen, national, or permanent resident. Some of the winning scientists and engineers receive up to a five-year research grant. History In February 1996, the National Science and Technology Council (NSTC) was commissioned by President Bill Clinton to create an award program that would honor and support the achievements of young professionals at the outset of their independent research careers in the fields of science and technology. The stated aim of the award is to help maintain the leadership position of the United States in science. Originally, 60 recipients receiv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Maxwell's Equations
Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, Electrical network, electric and Magnetic circuit, magnetic circuits. The equations provide a mathematical model for electric, optical, and radio technologies, such as power generation, electric motors, wireless communication, lenses, radar, etc. They describe how electric field, electric and magnetic fields are generated by electric charge, charges, electric current, currents, and changes of the fields.''Electric'' and ''magnetic'' fields, according to the theory of relativity, are the components of a single electromagnetic field. The equations are named after the physicist and mathematician James Clerk Maxwell, who, in 1861 and 1862, published an early form of the equations that included the Lorentz force law. Maxwell first used the equations to propose that ligh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Turbulence
In fluid dynamics, turbulence or turbulent flow is fluid motion characterized by chaotic changes in pressure and flow velocity. It is in contrast to laminar flow, which occurs when a fluid flows in parallel layers with no disruption between those layers. Turbulence is commonly observed in everyday phenomena such as surf, fast flowing rivers, billowing storm clouds, or smoke from a chimney, and most fluid flows occurring in nature or created in engineering applications are turbulent. Turbulence is caused by excessive kinetic energy in parts of a fluid flow, which overcomes the damping effect of the fluid's viscosity. For this reason, turbulence is commonly realized in low viscosity fluids. In general terms, in turbulent flow, unsteady vortices appear of many sizes which interact with each other, consequently drag due to friction effects increases. The onset of turbulence can be predicted by the dimensionless Reynolds number, the ratio of kinetic energy to viscous damping ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Navier–Stokes Equations
The Navier–Stokes equations ( ) are partial differential equations which describe the motion of viscous fluid substances. They were named after French engineer and physicist Claude-Louis Navier and the Irish physicist and mathematician George Gabriel Stokes. They were developed over several decades of progressively building the theories, from 1822 (Navier) to 1842–1850 (Stokes). The Navier–Stokes equations mathematically express momentum balance for Newtonian fluids and make use of conservation of mass. They are sometimes accompanied by an equation of state relating pressure, temperature and density. They arise from applying Isaac Newton's second law to fluid motion, together with the assumption that the stress in the fluid is the sum of a diffusing viscous term (proportional to the gradient of velocity) and a pressure term—hence describing ''viscous flow''. The difference between them and the closely related Euler equations is that Navier–Stokes equat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euler–Bernoulli Beam Theory
Euler–Bernoulli beam theory (also known as engineer's beam theory or classical beam theory) is a simplification of the linear elasticity, linear theory of elasticity which provides a means of calculating the load-carrying and Deflection (engineering), deflection characteristics of Beam (structure), beams. It covers the case corresponding to small deflections of a beam (structure), beam that is subjected to lateral loads only. By ignoring the effects of shear deformation and rotatory inertia, it is thus a special case of Timoshenko–Ehrenfest beam theory. It was first enunciated circa 1750, but was not applied on a large scale until the development of the Eiffel Tower and the Ferris wheel in the late 19th century. Following these successful demonstrations, it quickly became a cornerstone of engineering and an enabler of the Second Industrial Revolution. Additional mathematical models have been developed, such as plate theory, but the simplicity of beam theory makes it an importa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kuramoto–Sivashinsky Equation
In mathematics, the Kuramoto–Sivashinsky equation (also called the KS equation or flame equation) is a fourth-order nonlinear partial differential equation. It is named after Yoshiki Kuramoto and Gregory Sivashinsky, who derived the equation in the late 1970s to model the diffusive–thermal instabilities in a laminar flame front. It was later and independently derived by G. M. Homsy and A. A. Nepomnyashchii in 1974, in connection with the stability of liquid film on an inclined plane and by R. E. LaQuey et. al. in 1975 in connection with trapped-ion instability. The Kuramoto–Sivashinsky equation is known for its chaotic behavior. Definition The 1d version of the Kuramoto–Sivashinsky equation is :u_t + u_ + u_ + \frac\left(u^2\right)_x = 0 An alternate form is :v_t + v_ + v_ + v v_x = 0 obtained by differentiating with respect to x and substituting v = u. This is the form used in fluid dynamics applications. The Kuramoto–Sivashinsky equation can also be generalized to h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Schrödinger Equation
The Schrödinger equation is a partial differential equation that governs the wave function of a non-relativistic quantum-mechanical system. Its discovery was a significant landmark in the development of quantum mechanics. It is named after Erwin Schrödinger, an Austrian physicist, who postulated the equation in 1925 and published it in 1926, forming the basis for the work that resulted in his Nobel Prize in Physics in 1933. Conceptually, the Schrödinger equation is the quantum counterpart of Newton's second law in classical mechanics. Given a set of known initial conditions, Newton's second law makes a mathematical prediction as to what path a given physical system will take over time. The Schrödinger equation gives the evolution over time of the wave function, the quantum-mechanical characterization of an isolated physical system. The equation was postulated by Schrödinger based on a postulate of Louis de Broglie that all matter has an associated matter wave. The equati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hyperbolic Partial Differential Equation
In mathematics, a hyperbolic partial differential equation of order n is a partial differential equation (PDE) that, roughly speaking, has a well-posed initial value problem for the first n - 1 derivatives. More precisely, the Cauchy problem can be locally solved for arbitrary initial data along any non-characteristic hypersurface. Many of the equations of mechanics Mechanics () is the area of physics concerned with the relationships between force, matter, and motion among Physical object, physical objects. Forces applied to objects may result in Displacement (vector), displacements, which are changes of ... are hyperbolic, and so the study of hyperbolic equations is of substantial contemporary interest. The model hyperbolic equation is the wave equation. In one spatial dimension, this is \frac = c^2 \frac The equation has the property that, if and its first time derivative are arbitrarily specified initial data on the line (with sufficient smoothness properties), th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Parabolic Partial Differential Equation
A parabolic partial differential equation is a type of partial differential equation (PDE). Parabolic PDEs are used to describe a wide variety of time-dependent phenomena in, for example, engineering science, quantum mechanics and financial mathematics. Examples include the heat equation, Schrödinger_equation#Time-dependent_equation, time-dependent Schrödinger equation and the Black–Scholes equation. Definition To define the simplest kind of parabolic PDE, consider a real-valued function u(x, y) of two independent real variables, x and y. A Partial differential equation#Classification, second-order, linear, constant-coefficient PDE for u takes the form :Au_ + 2Bu_ + Cu_ + Du_x + Eu_y + F = 0, where the subscripts denote the first- and second-order partial derivatives with respect to x and y. The PDE is classified as ''parabolic'' if the coefficients of the principal part (i.e. the terms containing the second derivatives of u) satisfy the condition :B^2 - AC = 0. Usual ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Scopus
Scopus is a scientific abstract and citation database, launched by the academic publisher Elsevier as a competitor to older Web of Science in 2004. The ensuing competition between the two databases has been characterized as "intense" and is considered to significantly benefit their users in terms of continuous improvement in coverage, search/analysis capabilities, but not in price. Free database The Lens completes the triad of main universal academic research databases. Journals in Scopus are reviewed for sufficient quality each year according to four numerical measures: ''h''-Index, CiteScore, SJR ( SCImago Journal Rank) and SNIP ( source normalized impact per paper). For this reason, the journals listed in Scopus are considered to meet the requirement for peer review quality established by several research grant agencies for their grant recipients and by degree-accreditation boards in a number of countries. Scopus also allows patent searches from a dedicated patent dat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
