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Finite Fractal Dimensionality of Compact Kernel Sections for Dissipative Non-Autonomous Klein-Gordon-Schrödinger Lattice Systems
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作者 Jinwu Huang 《Journal of Applied Mathematics and Physics》 2020年第12期2919-2929,共11页
In this paper, an upper bound of fractal dimension of the compact kernel sections for the dissipative non-autonomous Klein-Gordon-Schr<span style="white-space:nowrap;">&#246;</span>dinger lat... In this paper, an upper bound of fractal dimension of the compact kernel sections for the dissipative non-autonomous Klein-Gordon-Schr<span style="white-space:nowrap;">&#246;</span>dinger lattice system is obtained, by applying a criterion for estimating fractal dimension of a family of compact subsets of a separable Hilbert space. 展开更多
关键词 Compact Kernel sections DISSIPATIVE Fractal Dimension NON-AUTONOMOUS Klein-Gordon-Schrödinger Lattice System
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Fragipan Soil Changes with Growth of Annual Ryegrass and Festulolium with Surface Applied Amendments
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作者 Lloyd Murdock Anastasios Karathanasis +2 位作者 Dottie Call Dana Lee Dinnes Amitava Chatterjee 《Open Journal of Soil Science》 2024年第12期765-777,共13页
A greenhouse experiment was conducted involving complete/intact 100 cm cores of a fragipan soil. The cores were maintained in moist conditions throughout the experiment as annual ryegrass (Lolium multiflorum) or festu... A greenhouse experiment was conducted involving complete/intact 100 cm cores of a fragipan soil. The cores were maintained in moist conditions throughout the experiment as annual ryegrass (Lolium multiflorum) or festulolium (Lolium spp and Fescue spp hybrid) were grown with and without additional surface applied amendments, including NaF, NaNO3, NaCl, and KCl. The results suggest a significant effect of annual ryegrass and festulolium on fragipan horizon degradation after 24 months. Annual ryegrass and festulolium were found to effectively change the structure of the fragipan horizon when planted on the soil surface and roots grew through the upper soil profile and penetrated into the fragipan. The fragipan structural change (degradation) appeared to increase with each planting sequence, particularly with soybean crop rotations. Sodium nitrate added to the soil surface with the growth of annual ryegrass resulted in a significant synergistic effect for degrading the fragipan horizon. The other amendments were not as effective in causing additional fragipan degradation. 展开更多
关键词 Fragipan Soil Horizons Plant Root Restriction Degradation of Compacted sections Effect of Ryegrass and Festulolium Root Penetration Effect of NaF NaNO3 NaCl KCl Surface Applied Amendments Soybean-Ryegrass and Soybean-Festulolium Rotations
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