Results 81 to 90 of about 1,208 (288)

Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE

, 2018
Gess B, Hofmanová M. Well-posedness and regularity for quasilinear degenerate parabolic-hyperbolic SPDE. ANNALS OF PROBABILITY. 2018;46(5):2495-2544.We study quasilinear degenerate parabolic-hyperbolic stochastic partial differential equations with ...
Gess, B., Gess, Benjamin, Hofmanová, Martina, Hofmanová, M.   +3 more
core   +1 more source

Low Mach Asymptotic Preserving Scheme for the Euler-Korteweg Model [PDF]

, 2013
We present an all speed scheme for the Euler-Korteweg model. We study a semi-implicit time-discretisation which treats the terms, which are stiff for low Mach numbers, implicitly and thereby avoids a dependence of the timestep restriction on the Mach ...
Giesselmann, Jan
core   +1 more source

Non-Local Problems for the Fractional Order Diffusion Equation and the Degenerate Hyperbolic Equation

Fractal and Fractional
This research explores nonlocal problems associated with fractional diffusion equations and degenerate hyperbolic equations featuring singular coefficients in their lower-order terms.
Menglibay Ruziev, Roman Parovik, Rakhimjon Zunnunov, Nargiza Yuldasheva   +3 more
doaj   +1 more source

Global nlassical solvability of a problem with nonlocal conditions for degenerate hyperbolic system of the first order equations [PDF]

Математичні Студії, 2012
Using the method of characteristics and the Banach fixed point theorem we established the existence and uniqueness of a global classical (smooth) solution to an initial-boundary value problem with nonlocal boundary conditions for a hyperbolic integro ...
R. V. Andrusyak, V. M. Kyrylych, O. V. Peliushkevych   +2 more
doaj  

Energy Decay for a Degenerate Hyperbolic Equation with a Dissipative Term

Publications of the Research Institute for Mathematical Sciences, 1999
The goal of the paper is to study decay properties of the total energy of solutions to hyperbolic equations. In opposite to other papers which prefer to study wave equations with mass and dissipation, the author is interested in the Cauchy problem \[ u_{tt}- a(t)\Delta u+ 2b(t) u_t+ m^2u= 0\quad\text{in }\mathbb{R}^{n+1}_+, \] \[ u(0,x)= u_0(x),\quad ...
openaire   +2 more sources

Super‐Resolution Ultrasound Based Cell Tracking With Polymeric Nanobubbles

Advanced Materials, EarlyView.
This study presents a super‐resolution ultrasound platform for tracking cells in vivo. Biocompatible polymeric nanobubbles are used as highly echogenic intracellular labels. Following the injection of cells and microbubbles, ultrasound localization microscopy (ULM) can dynamically match the microvascular architecture and individual cell trajectories ...
Junlin Chen, Xiaoyu Wang, Jilin Fan, Bi Wang, Hanghang Fang, Yurui Wang, Hao Cui, Mohammad Roufarshbaf, Ekaterina Savina, Alexandra Valeske, Quim Peña, Yang Shi, Andreas Herrmann, Twan Lammers, Mathias Hornef, Roman Barmin, Thomas Lisson, Georg Schmitz, Anne Rix, Fabian Kiessling   +19 more
wiley   +1 more source

A 3D‐Printed Blister Test Platform for Quantifying Biointerface Adhesion Mechanisms

Advanced Materials Interfaces, EarlyView.
A 3D‐printed blister platform enables energy‐resolved characterization of soft hydrogel–rigid interfaces. Integrating precision pressure control with hyperelastic modeling directly quantifies adhesion energy (G) and R‐curve toughening. Results reveal that modulating hydrogel concentration and surface roughness drives a tunable transition from cohesive ...
Yoontae Kim, Rahul Patil, Argyris K. Lazaris, Xinran Zhang, Stella Alimperti   +4 more
wiley   +1 more source

Strongly interacting bumps for the schrodinger-newton equations

, 2009
We study concentrated bound states of the Schrodinger-Newton equations Moroz, Penrose and Tod proved the existence and uniqueness of ground states.
Winter, M, Wei, J
core  

Critical exponents for semilinear equations of mixed elliptic-hyperbolic and degenerate types

, 2003
For semilinear Gellerstedt equations with Tricomi, Goursat or Dirichlet boundary conditions we prove Pohozaev type identities and derive non existence results that exploit an invariance of the linear part with respect to certain nonhomogeneous dilations.
LUPO, DANIELA ELISABETTA, Daniela Lupo, PAYNE K. R., Kevin R. Payne   +3 more
core   +1 more source

End‐to‐End Sensing Systems for Breast Cancer: From Wearables for Early Detection to Lab‐Based Diagnosis Chips

Advanced Materials Technologies, EarlyView.
This review explores advances in wearable and lab‐on‐chip technologies for breast cancer detection. Covering tactile, thermal, ultrasound, microwave, electrical impedance tomography, electrochemical, microelectromechanical, and optical systems, it highlights innovations in flexible electronics, nanomaterials, and machine learning.
Neshika Wijewardhane, Lyn I. Jones, Richard M. Martin, Helen Winter, Faezeh Arab Hassani   +4 more
wiley   +1 more source