Article
Soil Science
Franca Giannini-Kurina, Julieta Borello, Irene Canas, Susana Hang, Monica Balzarini
Summary: This study utilized a mathematical model to predict the dissipation of atrazine in soils in Cordoba province, Argentina, based on soil organic carbon and land use as environmental variables. The results indicated that atrazine dissipation was faster in sites with previous gramineous crops and high soil organic matter.
SOIL & TILLAGE RESEARCH
(2022)
Article
Mathematics, Applied
Ming Wang, Deqin Zhou
Summary: The study demonstrates the exponential decay of the linear damped KdV equation on the real line, under the condition that the damping coefficient satisfies certain locally integrable assumptions and has a positive lower bound on translates of a set with positive measure.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Mathematics, Applied
M. Castelli, G. Doronin, M. Padilha
Summary: This study investigates the initial-boundary value problem for the modified 2D Zakharov-Kuznetsov equation posed on a right-hand half-strip. It focuses on the critical power in nonlinearity, which is a novelty for unbounded domains with homogeneous boundary condition. The results provide insights into the existence, uniqueness, and asymptotic behavior of solutions, showcasing the partially exponential-in-time decay of strong solutions in appropriate norms.
APPLIED MATHEMATICS AND OPTIMIZATION
(2022)
Article
Mathematics, Applied
M. Castelli, G. Doronin
Summary: The initial boundary value problem for the 2D generalized Zakharov-Kuznetsov equation on a bounded rectangle is considered with supercritical integer powers in nonlinearity. Results on the existence, uniqueness, and exponential decay of solutions are presented.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2021)
Article
Mathematics, Applied
Dongxiang Chen, Fangfang Jian, Xiaoli Chen
Summary: This paper investigates the stability and large time behavior of the three-dimensional Boussinesq equations for magnetohydrodynamic convection near hydrostatic equilibrium using the energy method. The stability for fluids with certain symmetries is established on the spatial domain Omega=R(2)xT, where T=[-1/2,1/2] is a 1D period box. Moreover, the exponential decay of the oscillation parts is proven.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
Yanheng Ding, Xiaojing Dong, Qi Guo
Summary: This paper investigates the nonrelativistic limit and properties of solutions for a nonlinear Dirac equation in R-3, showing that the solutions converge to a coupled system of nonlinear Schrodinger equations as the speed of light tends to infinity for electrons with small mass. Additionally, the paper proves the uniform boundedness and exponential decay properties of the solutions with respect to the speed of light c.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
(2021)
Article
Physics, Mathematical
Dingqun Deng, Renjun Duan
Summary: This paper proves that the linearized Boltzmann or Landau equation with soft potentials has a spectral gap when the space domain is bounded with an inflow boundary condition, contrary to the existing results. The author introduces a new Hilbert space with an exponential weight function, where the action of the transport operator induces an extra non-degenerate relaxation dissipation in large velocity. This compensates for the degenerate spectral gap and leads to exponential decay of solutions.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Mathematics
Ruihong Ji, Jiahong Wu, Wanrong Yang
Summary: This paper investigates the stability and large-time behavior of the 3D anisotropic Navier-Stokes equations. A systematic approach is presented to obtain the optimal decay rates of stable solutions emanating from small data.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2021)
Article
Environmental Sciences
Ibrahim Cisse, Yvan D. Hernandez-Charpak, Carlos A. Diaz, Thomas A. Trabold
Summary: This study investigated the characteristics of biochar generated from pyrolysis of agricultural wastes and co-pyrolysis of these wastes with agricultural mulch films. The results showed that the biochar produced from these materials is suitable for soil amendment applications, and co-pyrolysis had a minimal impact on the properties of the biochar.
WASTE AND BIOMASS VALORIZATION
(2022)
Article
Physics, Nuclear
V Dehghani, S. A. Alavi, R. Razavi, A. Soylu, F. Koyuncu
Summary: This study investigates the half-lives of cluster decay by adopting different neutron and proton density distributions and utilizing double-folding potentials with various sets of nuclear density parameters. The results show a general agreement between theory and experiment for all parameter sets, while also highlighting the significant role of the asymmetry parameter in generating large differences in various assumptions.
Article
Mathematics, Applied
Giovanni Cimatti
Summary: This study proves a condition that guarantees the exponential decay of solutions for the damped wave equation initial-boundary value problem, and also presents a method for effectively computing the coefficient of exponential decay.
RICERCHE DI MATEMATICA
(2022)
Article
Physics, Fluids & Plasmas
Bernardo Sanchez-Rey, Antonio Prados
Summary: The linear response properties of uniformly heated granular gas have been analyzed, studying the direct relaxation after a single jump in driving intensity and behavior in a Kovacs-like experiment. The emergence of anomalous Kovacs response is explained by the properties of the direct relaxation function, specifically the second mode changing sign at the critical value of inelasticity. The analytical results are in good agreement with numerical simulations.
Article
Mathematics, Applied
Ming Wang, Deqin Zhou
Summary: In this paper, we prove several results on the exponential decay in L-2 norm of the KdV equation on the real line with localized dampings. We show that for the linear KdV equation, the exponential decay holds if and only if the averages of the damping coefficient on all intervals of a fixed length have a positive lower bound. Moreover, under the same damping condition, the exponential decay holds for the (nonlinear) KdV equation with small initial data. Finally, we establish the exponential decay for the KdV equation with large data, under the condition that the damping coefficient has a positive lower bound on a specific set E that is equidistributed over the real line and the complement E-c has a finite Lebesgue measure.
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
(2023)
Article
Mathematics, Applied
Pengxue Cui, Shuguan Ji
Summary: This paper considers a nonlinear damped beam equation with logarithmic source and memory term. The global existence of weak solutions is obtained by using Galerkin method, logarithmic Sobolev inequality, and some compactness arguments. Furthermore, the decay estimate of the related energy under the smallness assumption on the initial data is shown.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Mathematics, Applied
M. Castelli, G. Doronin
Summary: In this paper, an initial-boundary value problem of Saut-Temam type for the modified Zakharov-Kuznetsov equation posed on a strip is considered. The critical power in nonlinearity is studied, and the results on the existence, uniqueness, and asymptotic behavior of solutions are presented.
APPLICABLE ANALYSIS
(2022)
Article
Agronomy
Timothy L. Grey, William D. Branch, R. Scott Tubbs, John L. Snider, Theodore M. Webster, Jason Arnold, Xiao Li
Article
Agronomy
Theodore M. Webster, Danielle B. Simmons, A. Stanley Culpepper, Timothy L. Grey, David C. Bridges, Brian T. Scully
FIELD CROPS RESEARCH
(2016)
Article
Agricultural Engineering
Theodore M. Webster, Timothy L. Grey, Brian T. Scully, W. Carroll Johnson, Richard F. Davis, Timothy B. Brenneman
INDUSTRIAL CROPS AND PRODUCTS
(2016)
Article
Agronomy
Timothy L. Grey, Keith Rucker, Theodore M. Webster, Xuelin Luo
Article
Agronomy
Seth A. Byrd, Guy D. Collins, A. Stanley Culpepper, Darrin M. Dodds, Keith L. Edmisten, David L. Wright, Gaylon D. Morgan, Paul A. Baumann, Peter A. Dotray, Misha R. Manuchehri, Andrea Jones, Timothy L. Grey, Theodore M. Webster, Jerry W. Davis, Jared R. Whitaker, Phillip M. Roberts, John L. Snider, Wesley M. Porter
Article
Agronomy
Hunter C. Smith, Jason A. Ferrell, Theodore M. Webster, Jose V. Fernandez, Peter J. Dittmar, Patricio R. Munoz, Greg E. MacDonald
Article
Agronomy
Xiao Li, Timothy Grey, Katilyn Price, William Vencill, Theodore Webster
PEST MANAGEMENT SCIENCE
(2019)
Article
Agronomy
W. Carroll Johnson, Theodore M. Webster, Timothy L. Grey, Xuelin Luo
Article
Agronomy
Lavesta C. Hand, Robert L. Nichols, Theodore M. Webster, A. Stanley Culpepper
Article
Agronomy
William Anderson, Joseph Edward Knoll, Dawn Olson, Brian T. Scully, Timothy C. Strickland, Theodore M. Webster
Summary: Winter legumes, especially lupin, have significant advantages as winter cover crops due to their nitrogen-fixing ability and positive effects on subsequent sorghum and cotton yields. Harvested or grazed lupin covers can provide similar benefits to summer row crops compared to leaving the cover on the soil.
Article
Agronomy
Hunter C. Smith, Jason A. Ferrell, Theodore M. Webster, Jose V. Fernandez
Article
Agronomy
Theodore M. Webster, Timothy L. Grey, Jason A. Ferrell
Article
Agronomy
Mandeep K. Riar, Danesha S. Carley, Chenxi Zhang, Michelle S. Schroeder-Moreno, David L. Jordan, Theodore M. Webster, Thomas W. Rufty
INTERNATIONAL JOURNAL OF AGRONOMY
(2016)
Article
Agronomy
Eric P. Prostko, Theodore M. Webster
CROP FORAGE & TURFGRASS MANAGEMENT
(2015)
Meeting Abstract
Plant Sciences
T. N. Torrance, T. B. Brenneman, T. M. Webster