We discuss the problem of breaking of a nonlinear wave in the process of its propagation into a medium at rest. It is supposed that the profile of the wave is described at the breaking moment by the function (-x) (x<0, positive pulse) or -x (x>0, negative pulse) of the coordinate x. Evolution of the wave is governed by the Korteweg-de Vries equation resulting in the formation of a dispersive shock wave. In the positive pulse case, the dispersive shock wave forms at the leading edge of the wave structure and in the negative pulse case, at its rear edge. The dynamics of dispersive shock waves is described by the Whitham modulation equations. For power law initial profiles, this dynamics is self-similar and the solution of the Whitham equations is obtained in a closed form for arbitrary n>1.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1063/1.5066038 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Gene Expression in Aphelid Zoospores Reveals Their Transcriptional and Translational Activity and Alacrity for Invasion.
J Fungi (Basel)
January 2025
Zoological Institute, Russian Academy of Sciences, St. Petersburg 199034, Russia.
In (Opisthokonta, Aphelida) zoospores, the expression of 7708 genes out of 7802 described genes was detected. For 589 of them, expression levels were shown to be more than 10 times higher than the median level. Among the highly expressed genes with known functions, the largest functional categories were "Cellular Metabolism", "Protein Synthesis", "Cell State Control", and "Nucleic Acid Processing".
View Article and Find Full Text PDFThe potential role of leukocytes cell population data (CPD) for diagnosing sepsis in adult patients admitted to the intensive care unit.
Clin Chem Lab Med
January 2025
S.C. Analisi Chimico Cliniche e Microbiologiche, 159114 ASST Nord Milano , Ospedale Bassini, Cinisello Balsamo, Italy.
Objectives: The aim of the study was to evaluate the predictive value of cell population data (CPD) parameters in comparison with procalcitonin (PCT) and C-reactive protein (CRP) for an early diagnosis of sepsis in intensive care unit (ICU). The effect of renal function on CPD, PCT and CRP, in septic and non-septic patients was also investigated.
Methods: This is a retrospective, observational and single-center study, performed with data collected from patients consecutively admitted to the ICU of the Edoardo Bassini Hospital in Milan.
A Submicrosecond-Response Ultrafast Microwave Ranging Method Based on Optically Generated Frequency-Modulated Pulses.
Sensors (Basel)
December 2024
National Key Laboratory of Shock Wave and Detonation Physics, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang 622150, China.
An ultrafast microwave ranging method based on optically generated frequency-modulated microwave pulses is proposed in this study. The theoretical analysis demonstrated that nanosecond-scale linear frequency modulation microwave pulse can be obtained by femtosecond laser interference under the condition of unbalanced dispersion, which can be used to achieve a high temporal resolution of the displacement change in the measurement by the principle of frequency modulation continuous wave (FMCW) radar. The proof-of-principle experiment successfully measured the displacement change with an error of 2.
View Article and Find Full Text PDFRecent Advances in Porphyrin-Based Covalent Organic Frameworks for Synergistic Photodynamic and Photothermal Therapy.
Pharmaceutics
December 2024
School of Pharmacy, Nantong University, Nantong 226001, China.
Porphyrin's excellent biocompatibility and modifiability make it a widely studied photoactive material. However, its large π-bond conjugated structure leads to aggregation and precipitation in physiological solutions, limiting the biomedical applications of porphyrin-based photoactive materials. It has been demonstrated through research that fabricating porphyrin molecules into nanoscale covalent organic frameworks (COFs) structures can circumvent issues such as poor dispersibility resulting from hydrophobicity, thereby significantly augmenting the photoactivity of porphyrin materials.
View Article and Find Full Text PDFDeciphering roles of nine hydrophobins (Hyd1A-F and Hyd2A-C) in the asexual and insect-pathogenic lifecycles of Beauveria bassiana.
Microbiol Res
March 2025
Institute of Microbiology, College of Life Sciences, Zhejiang University, Hangzhou 310058, China. Electronic address:
Hydrophobins are small amphiphilic proteins that confer filamentous fungal hydrophobicity needed for hyphal growth, development, dispersal and adhesion to host and substrata. In insect-pathogenic Beauveria bassiana, nine hydrophobins (class I Hyd1A-F and class II Hyd2A-C) were proven to localize on the cell walls of aerial hyphae and conidia but accumulate in the vacuoles and vesicles of submerged hyphae and blastospores, respectively. Conidial hydrophobicity, adhesion to insect cuticle, virulence via normal cuticle infection and dispersal potential were significantly more reduced by the hyd1A deletion leading to complete ablation of slender rodlets on conidial coat than the hyd1B deletion, which caused a failure to assemble morphologically irregular rodlets into orderly bundles.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!