Article
Environmental Sciences
Haoyuan Cheng, Qianli Zhang, Zhenhua Wan, Zhongyuan Zhang, Jin Qin
Summary: This paper establishes a polarized optical transmission model of wavy ocean surface reflection and refraction and simulates polarization patterns induced by wavy ocean surfaces. The correctness of the simulation results is verified through qualitative and quantitative analysis, and the environmental factors affecting the corresponding polarization patterns are discussed. The study finds that polarization patterns induced by wavy water surfaces are predictable and regular, with great potential for human application.
Article
Mathematics, Applied
A. Logioti, B. Niethammer, M. Roeger, J. J. L. Velazquez
Summary: This research examines a simple model for the response of biological cells to time-dependent signals and shows that the system converges to a bulk-surface parabolic obstacle problem in a suitable asymptotic limit. Furthermore, the study demonstrates an L-1 contraction property for this model and proves the stability of stationary states in the case of time-constant signals.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
(2021)
Article
Mathematics, Applied
Xinyue Evelyn Zhao, Bei Hu
Summary: This paper investigates a free boundary PDE model to describe the formation of arterial plaque in the early stage of atherosclerosis, and conducts bifurcation analysis to establish the first bifurcation point corresponding to the n=1 mode. The study of symmetry-breaking stationary solutions in the paper helps to understand why arterial plaque is often accumulated more on one side of the artery.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2022)
Article
Mathematics, Applied
Yassine Tahraoui, Guy Vallet
Summary: This work investigates a stochastic obstacle problem governed by a T-monotone operator, random force, and a multiplicative stochastic reaction in Sobolev spaces. It establishes the existence and uniqueness of the variational solution, and proves Lewy-Stampacchia's inequalities associated with the problem by perturbing the stochastic reaction and penalizing the constraint.
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS
(2022)
Article
Mathematics, Applied
Takwon Kim, Ki-Ahm Lee, Jinwan Park
Summary: In this paper, we study a double obstacle problem in a partial differential equation that arises in an optimization problem in finance. We construct a solution for the double obstacle problem and prove the monotonicity of its free boundaries. From this solution, we can determine the optimal strategy for the optimization problem.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
(2023)
Article
Chemistry, Physical
Steven A. Yamada, Samantha T. Hung, Jae Yoon Shin, Michael D. Fayer
Summary: The dynamics of benzene complex formation and dissociation with silanols on the amorphous silica surfaces of nanoporous SiO2 were investigated using 2D IR and PSPP measurements. Two types of isolated silanols, type I and II, were identified, with different dissociation time constants and vibrational relaxation rates. The results suggest that the type I silanols are more stable and energetically favorable, while the type II silanols exhibit faster vibrational relaxation rates.
JOURNAL OF PHYSICAL CHEMISTRY B
(2021)
Article
Mathematics, Applied
Changyin Guo, Xufeng Xiao, Xinlong Feng, Zhijun Tan
Summary: In this article, an immersed finite element approach is introduced for solving interface problems of elliptic PDEs on curved surfaces. The approach avoids the need for complicated body-fitting surface grids and can efficiently capture sharp solutions across the interface. The proposed method performs substantially superior to the conventional surface finite element method, as verified by numerical examples.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Chemistry, Multidisciplinary
Xiangzhi Meng, Henning Klaasen, Lena Viergutz, Bertram Schulze Lammers, Melanie C. Witteler, Harry Moenig, Saeed Amirjalayer, Lacheng Liu, Johannes Neugebauer, Hong-Ying Gao, Armido Studer, Harald Fuchs
Summary: The efficient formation of azo compounds via redox cross-coupling of nitroarenes and arylamines has been achieved through on-surface chemistry. The use of well-designed precursors containing both an amino and a nitro functionality results in highly efficient nitro-amino cross-coupling on the surface. The metal surface was found to have a significant effect on the reaction efficiency, with the reaction proceeding from partially oxidized/reduced precursors in dimerization reactions.
ANGEWANDTE CHEMIE-INTERNATIONAL EDITION
(2021)
Article
Mechanics
Evgeny V. Semenko
Summary: This article discusses the stable process when fluids encounter fixed obstacles, and analyzes the phenomenon and implications under different boundary conditions.
Article
Physics, Fluids & Plasmas
R. Mark Bradley, Tejas Sharath
Summary: The study shows that nearly defect-free ripples with a sawtooth profile can form on the surface under low-energy ion bombardment, and the ripples coarsen with time passing.
Article
Physics, Multidisciplinary
M. Bonati, L. D. Wittwer, S. Aland, E. Fischer-Friedrich
Summary: The actin cortex of an animal cell plays a crucial role in cell division and shape regulation. Mechanosensitivity of cross-linker molecules enhances pattern diversity and enables self-organized formation of contractile rings. Concentration-dependent shear viscosities stabilize ring-like patterns and active surface constriction.
NEW JOURNAL OF PHYSICS
(2022)
Article
Mathematics, Applied
Ovidiu Savin, Hui Yu
Summary: In this study, we revisit and refine our previous findings regarding the regularity of the singular set in the free boundary of the nonlinear obstacle problem. Similar to the work of Figalli-Serra on the classical obstacle problem, we demonstrate that each stratum can be divided into a 'good' part covered by C-1,(1-) manifolds, and an 'anomalous' part of lower dimension.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
(2022)
Article
Mathematics
Marco Bravin, Sarka Necasova
Summary: This study investigates the interaction between a small solid body and a viscous compressible fluid. The research focuses on a bounded three-dimensional domain, where the solid body is allowed to move freely according to Newton's laws. The paper presents a result of homogenization in the case of fluid-structure interaction under compressible conditions, showing that the fluid plus rigid body system converges to the compressible Navier-Stokes system as the size of the body approaches zero, subject to certain lower bound conditions on mass and inertia momentum. The study also provides a slight improvement on the understanding of the influence of a vanishing obstacle in a compressible fluid for gamma >= 6.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2023)
Article
Microbiology
Alexandra Stoll, Ricardo Salvatierra-Martinez, Maximo Gonzalez, Michael Araya
Summary: Many aspects of the role of lipopeptides in bacterial interaction with plants are still unclear. The concentration of lipopeptides produced by a strain directly correlates with its ability to colonize plant surfaces and trigger induced systemic resistance (ISR). Multiple factors, such as environmental stressors or compensation mechanisms, may also influence a strain's ability to effectively colonize a plant surface.
Article
Computer Science, Information Systems
Serafino Cicerone
Summary: The article focuses on addressing the issue of symmetry breaking in Pattern Formation problems with autonomous mobile robots moving in a discretization of the plane. The algorithm Abreak is proposed to efficiently handle the Symmetry Breaking problem on square and triangular grids, and can be used as a module for solving more general problems. Furthermore, a complete characterization of the Line Formation problem on different topologies is provided, demonstrating the effectiveness of the proposed algorithms.
Article
Mathematics, Applied
B. Niethammer, J. J. L. Velazquez
QUARTERLY OF APPLIED MATHEMATICS
(2018)
Article
Mathematics, Applied
Marco Bonacini, Barbara Niethammer, Juan J. L. Velazquez
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
(2019)
Article
Mathematics
Barbara Niethammer, Alessia Nota, Sebastian Throm, Juan J. L. Velazquez
JOURNAL OF DIFFERENTIAL EQUATIONS
(2019)
Article
Mathematics, Applied
Marco Bonacini, Barbara Niethammer, Juan J. L. Velazquez
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
(2019)
Article
Physics, Mathematical
Jian-Guo Liu, B. Niethammer, Robert L. Pego
JOURNAL OF STATISTICAL PHYSICS
(2019)
Article
Mathematics, Applied
Michael Herrmann, Barbara Niethammer
EUROPEAN JOURNAL OF APPLIED MATHEMATICS
(2020)
Article
Mathematics, Applied
Marco Bonacini, Barbara Niethammer, Juan Velazquez
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
(2020)
Article
Mathematics, Applied
Barbara Niethammer, Yoshihito Oshita
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
(2020)
Article
Mathematics, Applied
Marco Bonacini, Barbara Niethammer, Juan J. L. Velazquez
Summary: This paper investigates the stability properties of a special class of solutions to a coagulation-fragmentation equation, showing that for sufficiently concentrated initial data, the corresponding solutions approach stationary solutions.
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
(2021)
Article
Mathematics, Applied
B. Niethammer, R. L. Pego, A. Schlichting, J. J. L. Velazquez
Summary: This study focuses on the Becker-Do center dot ring bubblelator, a system that models the growth of clusters by gain or loss of monomers. The research incorporates the injection of monomers and depletion of large clusters and finds that the system exhibits a dynamic phase transition at certain physical rates. Numerical simulations confirm that the generation and removal of large clusters can become desynchronized.
SIAM JOURNAL ON APPLIED MATHEMATICS
(2022)
Article
Mathematics, Applied
Amrita Ghosh, Barbara Niethammer, Juan J. L. Velazquez
Summary: In this paper, we revisit a model for the contact line problem proposed by Shikhmurzaev (1993). We rederive the model and investigate the assumptions required to obtain the isothermal limit. Additionally, we derive several lubrication approximation models based on Shikhmurzaev's approach, including models for thin film flow and meniscus formation.
ACTA APPLICANDAE MATHEMATICAE
(2022)
Article
Mathematics, Applied
A. Logioti, B. Niethammer, M. Roeger, J. J. L. Velazquez
Summary: This research examines a simple model for the response of biological cells to time-dependent signals and shows that the system converges to a bulk-surface parabolic obstacle problem in a suitable asymptotic limit. Furthermore, the study demonstrates an L-1 contraction property for this model and proves the stability of stationary states in the case of time-constant signals.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
(2021)
Article
Mathematics, Applied
Barbara Niethammer, Richard Schubert
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
(2020)
Article
Mathematics, Applied
Philippe Laurencot, Barbara Niethammer, Juan J. L. Velazquez
KINETIC AND RELATED MODELS
(2018)