How long condition behavior?
Best insight from top research papers
The long-time behavior of the systems studied in the papers can be understood by analyzing their dynamic boundary conditions and the properties of the equations. In the paper by Miranville and Wu, they investigate the Cahn-Hilliard equation with a new class of dynamic boundary conditions and prove the existence of exponential attractors and global attractors with finite fractal dimension . Phuong and Nhan extend the study of gradient-like systems with strict Lyapunov functions and propose a weaker angle condition for convergence, obtaining convergence rates under additional hypotheses . Han studies the long-time behavior of solutions to the p(x)-Laplace equation and provides results on blow-up and extinction, generalizing previous findings . Fu and Kong consider a damped wave equation with mixed boundary conditions and prove logarithmic decay of solutions based on the growth of the resolvent operator . Yang and Yang study the long-time behavior of a reaction-diffusion equation with dynamical boundary conditions and prove the existence of a global attractor that attracts bounded subsets with specific norms .
Answers from top 5 papers
More filters
| Papers (5) | Insight |
|---|---|
14 Citations | The paper studies the long-time behavior of a reaction-diffusion equation with a dynamical boundary condition. |
| The paper discusses the longtime behavior of a damped wave equation with mixed boundary conditions in a bounded domain. | |
5 Citations | The paper studies the long-time behavior of solutions to a parabolic equation with nonstandard growth condition. |
01 Jun 2020 9 Citations | The paper studies the long-time behavior of the Cahn-Hilliard equation with dynamic boundary conditions, proving the existence of exponential attractors and global attractors. |
| The paper studies the long time behavior of solutions of gradient-like systems under a weak angle condition. |
Related Questions
What is length of business?5 answersLength of business refers to the duration for which a business has been operating. In the context of the research papers provided, the length of business is a factor studied alongside environment capital and its impact on the income of traditional traders in various markets. The research conducted on micro, small, and medium enterprises (MSMEs) in Bekasi City also considered the length of business as a variable affecting income levels. Additionally, a study on industrial, commercial, and agribusiness companies in Patrocinio/MG analyzed the phase of the organizational life cycle in which these businesses were situated, indicating that the length of business plays a crucial role in determining strengths, weaknesses, and future prospects.
What is a duration?5 answersDuration can be understood in various contexts. In architecture, duration is explored as a dimension of space through the moving image, allowing for the documentation of lived experiences and the exploration of temporality. In linguistics, segmental duration plays a crucial role in phonological and prosodic phenomena, reflecting stress, intonation, and speech patterns specific to different languages. Financially, duration is utilized as a measure of the sensitivity of the present value of cash flows to changes in interest rates, aiding in portfolio management and investment decision-making. Moreover, a duration calculation model has been developed for business planning, focusing on project efficiency and risk assessment. Therefore, duration encompasses temporal aspects in architecture, linguistic patterns, financial management, and business planning, highlighting its diverse applications across disciplines.
What is time limit?5 answersA time limit refers to a specified duration or deadline within which a particular activity or process must be completed. It serves as a motivation for efficient work and can stimulate unconscious conflicts related to separation and loss in psychotherapy. In the context of a remote controller, a time limit type remote controller includes a real-time clock circuit and allows for the remote sensing of temperature, photosensitive, and humidity signals, enabling intelligent and unmanned management of a greenhouse. In the case of a time limit lighting device, it includes a charging circuit, charging control circuit, LEDs, current-flow detection means, and lighting control circuit, which work together to provide reliable operation suitable for emergency lights and guide lights. Additionally, in the context of a time limit operation, an integration circuit and clip diode are used to transition from an inverse time limit operation to a definite time operation based on the voltage value of an input signal. Furthermore, a time limit assignment problem pursues the best overall efficiency only if all tasks are completed in time or close to the deadline, and a mathematical model and solution method are provided for solving this problem.
How does durability impact the buying behavior?5 answersDurability has an impact on consumer buying behavior. The study by Vida and Pirc found that consumers in Slovenia placed more importance on the domestic origin of products when purchasing nondurable goods and services compared to durable goods. Additionally, the study by Kaya et al. showed that consumer innovativeness influenced the timing of repeat purchases for durable goods, but not for forced replacements. These findings suggest that the durability of a product can influence the factors that drive consumer purchases.
How long conditioning?5 answersConditioning time can vary depending on the context. In the study by Ejder Kardesoglu et al., they applied postconditioning protocols for either 30 or 60 seconds to investigate their effects on tumor necrosis factor-α (TNF-α) levels and echocardiographic parameters. In the study by Zhuang Yan et al., the conditioning shampoo composition included various components such as anionic surfactants, amphoteric surfactants, cationic polymers, acrylamide polymers, and polydimethylsiloxane. The method for conditioning long chain alkyl acrylate, as described by Gamet Jean-Paul and Jean Michel Paul, involved forming a mixture of the acrylate and a solvent to lower the melting point. However, the specific duration of conditioning is not mentioned in these abstracts.
What is behavior?5 answersBehavior can be defined as the actions that an individual organism takes in response to stimuli in its environment. It includes behaviors such as eating, sleeping, escaping, and reproductive behaviors. Behavior is an important subject in the study of ecology, as many behaviors are in response to external stimuli in the environment. Understanding behavior involves studying how species are adapted to the challenges of survival and reproduction, and how natural selection shapes the genetic and phenotypic changes in a lineage. The definition of behavior as an organism-environment interaction is questioned, as there are other types of relations between organism and environment. Behavior plays a central role in the interactions between an organism and its environment, affecting and being affected by development, physiology, ecological dynamics, environmental choice, and evolution.