Results 101 to 110 of about 100,249 (259)

Nonlocal Nonlinear Problems for One-Dimensional Parabolic System

Zeitschrift für Analysis und ihre Anwendungen, 1984
In the paper two nonlocal, nonlinear problems for a system of parabolic equations are considered: to find a solution of the system \vec u_t (x,t) = D\vec u_{xx}(x, t) + \vec f (x, t, \vec u (x, t)) subject to the conditions
openaire   +3 more sources

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

Dynamics of Nonlinear Parabolic Systems with Time Delays

Journal of Mathematical Analysis and Applications, 1996
The authors consider the problem \[ u_t= \Delta u+ {\delta e^u \over \int_\Omega e^udx}, \quad (x,t) \in \Omega \times [0,T), \] \[ u(x,0) = u_0(x), \quad u(x,t) = 0,\;(x,t) \in \partial \Omega \times [0,T). \] This problem arises as a model for various interesting processes in engineering.
openaire   +1 more source

Plasmakristall‐4 Experiment: 10 Years of Operation in Orbit

Contributions to Plasma Physics, EarlyView.
ABSTRACT Plasmakristall‐4 (PK‐4) is a microgravity complex plasma laboratory operated for 10 years on board the International Space Station. Its main purpose is the particle‐resolved investigation of generic condensed matter phenomena using strongly coupled suspensions of microparticles immersed in low‐pressure gas‐discharge plasmas.
M. Pustylnik, H. M. Thomas, M. Kretschmer, M. Thoma   +3 more
wiley   +1 more source

Machine learning‐based prediction of elevated N terminal pro brain natriuretic peptide among US general population

ESC Heart Failure, Volume 12, Issue 2, Page 859-868, April 2025.
Abstract Aims Natriuretic peptide‐based pre‐heart failure screening has been proposed in recent guidelines. However, an effective strategy to identify screening targets from the general population, more than half of which are at risk for heart failure or pre‐heart failure, has not been well established.
Yuichiro Mori, Shingo Fukuma, Kyohei Yamaji, Atsushi Mizuno, Naoki Kondo, Kosuke Inoue   +5 more
wiley   +1 more source

SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL EQUATION METHODS [PDF]

Journal of Sciences, Islamic Republic of Iran, 2000
In this paper, a nonlinear inverse problem of parabolic type, is considered. By reducing this inverse problem to a system of Volterra integral equations the existence, uniqueness, and stability of the solution will be shown.
doaj  

Technoeconomic Assessment of Wind Power Potential in the Vicinity of GolGohar Sirjan Mining and Industrial Company

Energy Science &Engineering, EarlyView.
Graphical abstract of wind energy study in the Vicinity of GolGohar Sirjan Mining and Industrial Company. ABSTRACT Wind energy is a central pillar of sustainable energy transition; however, its feasibility strongly depends on site‐specific wind regimes and economic conditions.
Hossein Amiri
wiley   +1 more source

Global Weak Solution in a p-Laplacian Attraction–Repulsion Chemotaxis System with Nonlinear Sensitivity and Signal Production

Axioms
This paper is devoted to a p-Laplacian attraction–repulsion chemotaxis system with nonlinear sensitivity and signal production. We obtain the global existence and boundedness of weak solutions by means of energy estimates, the Aubin–Lions lemma, and ...
Hengyu Ren, Zhe Jia
doaj   +1 more source

Review of millimeter‐wave and terahertz near‐field synthetic aperture radar imaging technology

InfoScience, EarlyView.
Abstract This paper comprehensively reviews the development of millimeter‐wave (MMW) and terahertz (THz) near‐field imaging technologies, with an emphasis on the state of synthetic aperture radar (SAR)‐based imaging technologies. Near‐field imaging technologies are categorized into passive and active imaging modes, among which active imaging is favored
Qi Yang, Hongqiang Wang, Xu Chen, Xin Peng   +3 more
wiley   +1 more source