Nonfiction 1

Download A uniqueness result for a Neumann problem involving the by Grossi M., Lin C.-S., Prashanth S. PDF

By Grossi M., Lin C.-S., Prashanth S.

Show description

Read or Download A uniqueness result for a Neumann problem involving the critical Sobolev exponent PDF

Similar nonfiction_1 books

Dead Wake: The Last Crossing of the Lusitania

Number 1 big apple occasions Bestseller

From the bestselling writer and grasp of narrative nonfiction comes the captivating tale of the sinking of the Lusitania

On could 1, 1915, with WWI getting into its 10th month, a luxurious ocean liner as richly appointed as an English state residence sailed out of latest York, certain for Liverpool, sporting a checklist variety of childrens and babies. The passengers have been strangely comfy, although Germany had declared the seas round Britain to be a battle quarter. For months, German U-boats had introduced terror to the North Atlantic. however the Lusitania was once one of many era’s nice transatlantic “Greyhounds”—the quickest liner then in service—and her captain, William Thomas Turner, put super religion within the gentlemanly strictures of war that for a century had stored civilian ships secure from assault.  

Germany, besides the fact that, was firm to alter the foundations of the sport, and Walther Schwieger, the captain of Unterseeboot-20, was once satisfied to oblige. in the meantime, an ultra-secret British intelligence unit tracked Schwieger’s U-boat, yet informed nobody. As U-20 and the Lusitania made their method towards Liverpool, an array of forces either grand and achingly small—hubris, an opportunity fog, a heavily guarded mystery, and more—all converged to provide one of many nice mess ups of history.

it's a tale that many people imagine we all know yet don’t, and Erik Larson tells it thrillingly, switching among hunter and hunted whereas portray a bigger portrait of the United States on the peak of the revolutionary period. jam-packed with glamour and suspense, lifeless Wake brings to lifestyles a forged of evocative characters, from famed Boston bookseller Charles Lauriat to pioneering lady architect Theodate Pope to President Woodrow Wilson, a guy misplaced to grief, dreading the widening conflict but in addition captivated by way of the possibility of recent love.  

Gripping and demanding, useless Wake captures the sheer drama and emotional strength of a catastrophe whose intimate info and real which means have lengthy been obscured by means of history.

From the Hardcover version.

Substance P

Substance P is a member of the tachykinin relations of peptides, and has classically been thought of a neuropeptide, secreted predominantly by way of neuronal cells of the important and peripheral apprehensive platforms. interplay with tachykinin receptors on vascular endothelial or soft muscle cells could cause vasodilation or contraction, respectively.

Fundamentals of Sleep Technology

This article presents a radical figuring out of using polysomnography and different applied sciences within the evaluate and administration of sleep issues. insurance contains in-depth stories of the neurophysiology and cardiopulmonary facets of sleep and the pathophysiology of sleep issues. unique sections on polysomnography comprise recording methods, selecting and scoring sleep phases and sleep-related occasions, and record new release.

Extra info for A uniqueness result for a Neumann problem involving the critical Sobolev exponent

Example text

Slowly changing functions of Re). Expanding these functions in powers of a small parameter (ln Re)−1 , the authors assumed that α(Re) = α1 / ln Re + O[(ln Re)−2 ], C(ln Re) = C0 + C1 / ln Re + O[(ln Re)−2 ] (constant term was omitted in the series for α(Re) to guarantee the validity of the K41 scaling when Re → ∞). For crude estimate of the function C(ln Re) the data by Praskovsky and Onsley [113] were used.

In the case of boundary layers the pipe-flow equations (8) and (9) were used without any modification but now the value of Re was determined as that leading to the best fit of these equations with the available velocity data. ] In [83] it was found that the velocity profiles of turbulent boundary layers agree well with the power law (8) and (9) in the range of z-values extending from the upper edge of the viscous sublayer (located at u∗ z/ν = 70) to the upper edge of the whole boundary layer above which the homogeneous “free stream” begins.

Therefore, the old velocity-profile problem which tortured Prandtl, Taylor and von K´ arm´ an in the first quarter of the 20th century, now again became actual and apparently requires supplementary studies of physical mechanisms leading to possible violations of the logarithmic law and to reliably detected violations of related similarity laws for higher-order statistical characteristics of wall-bounded turbulent flows. Before the appearance of much more accurate experimental (and/or DNS) data (and even after it too), better understanding of the main factors determining the form the velocity profiles in various turbulent flows undoubtedly requires more direct use of the physical arguments concerning the mechanisms of turbulent mixing.

Download PDF sample

Rated 4.63 of 5 – based on 24 votes