Global boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity Article Swipe
Guoqiang Ren
,
Xing Zhou
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1515/anona-2023-0125
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1515/anona-2023-0125
In this study, we investigate the two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity: u t = ∇ ⋅ ( u θ − 1 ∇ u ) − χ ∇ ⋅ u v ∇ v , x ∈ Ω , t > 0 , v t = Δ v − v + u + g ( x , t ) , x ∈ Ω , t > 0 , ( ∗ ) \left\{\begin{array}{ll}{u}_{t}=\nabla \cdot \left({u}^{\theta -1}\nabla u)-\chi \nabla \cdot \left(\frac{u}{v}\nabla v\right),& x\in \Omega ,\hspace{0.33em}t\gt 0,\\ {v}_{t}=\Delta v-v+u+g\left(x,t),& x\in \Omega ,\hspace{0.33em}t\gt 0,\\ \end{array}\right.\hspace{2.0em}\hspace{2.0em}\hspace{2.0em}\left(\ast ) in a bounded domain with smooth boundary. We present the global boundedness of weak solutions to the model ( ∗ \ast ) if θ > 3 2 \theta \gt \frac{3}{2} and (1.10)–(1.11). This res
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1515/anona-2023-0125
- https://www.degruyter.com/document/doi/10.1515/anona-2023-0125/pdf
- OA Status
- gold
- Cited By
- 1
- References
- 55
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4391696446
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https://openalex.org/W4391696446Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1515/anona-2023-0125Digital Object Identifier
- Title
-
Global boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivityWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
-
2024Year of publication
- Publication date
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2024-01-01Full publication date if available
- Authors
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Guoqiang Ren, Xing ZhouList of authors in order
- Landing page
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https://doi.org/10.1515/anona-2023-0125Publisher landing page
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https://www.degruyter.com/document/doi/10.1515/anona-2023-0125/pdfDirect link to full text PDF
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-
goldOpen access status per OpenAlex
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https://www.degruyter.com/document/doi/10.1515/anona-2023-0125/pdfDirect OA link when available
- Concepts
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Sensitivity (control systems), Nonlinear system, Chemotaxis, Mathematics, Mathematical analysis, Diffusion, Geometry, Physics, Engineering, Thermodynamics, Biology, Electronic engineering, Quantum mechanics, Biochemistry, ReceptorTop concepts (fields/topics) attached by OpenAlex
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1Total citation count in OpenAlex
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2025: 1Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.the | 6, 200, 207 |
| abstract_inverted_index.0,\\ | 182, 188 |
| abstract_inverted_index.This | 235 |
| abstract_inverted_index.\ast | 214 |
| abstract_inverted_index.this | 2 |
| abstract_inverted_index.weak | 204 |
| abstract_inverted_index.with | 10, 195 |
| abstract_inverted_index.x\in | 179, 185 |
| abstract_inverted_index.<m:mi | 91, 114, 138 |
| abstract_inverted_index.\cdot | 171, 176 |
| abstract_inverted_index.model | 208 |
| abstract_inverted_index.<m:mtd | 26, 87, 103, 134, 150 |
| abstract_inverted_index.\Omega | 180, 186 |
| abstract_inverted_index.\nabla | 175 |
| abstract_inverted_index.\theta | 230 |
| abstract_inverted_index.domain | 194 |
| abstract_inverted_index.global | 201 |
| abstract_inverted_index.smooth | 196 |
| abstract_inverted_index.study, | 3 |
| abstract_inverted_index.system | 9 |
| abstract_inverted_index.<m:math | 16, 210, 217 |
| abstract_inverted_index.<m:mtr> | 25, 102, 149 |
| abstract_inverted_index.bounded | 193 |
| abstract_inverted_index.present | 199 |
| abstract_inverted_index.u)-\chi | 174 |
| abstract_inverted_index.</m:mtd> | 86, 100, 133, 147 |
| abstract_inverted_index.</m:mtr> | 101, 148, 152 |
| abstract_inverted_index.<m:mrow> | 22, 29, 32, 37, 41, 43, 45, 48, 54, 63, 70, 72, 75, 79, 106, 109, 123, 125, 162, 164, 222, 225 |
| abstract_inverted_index.<m:msub> | 28, 105 |
| abstract_inverted_index.<m:msup> | 44 |
| abstract_inverted_index.Abstract | 0 |
| abstract_inverted_index.open="(" | 68 |
| abstract_inverted_index.open="{" | 20 |
| abstract_inverted_index.singular | 14 |
| abstract_inverted_index.-1}\nabla | 173 |
| abstract_inverted_index.</m:math> | 169, 213, 229 |
| abstract_inverted_index.</m:mrow> | 31, 34, 39, 47, 52, 56, 58, 60, 65, 74, 77, 81, 83, 108, 111, 129, 131, 154, 166, 168, 224, 227 |
| abstract_inverted_index.</m:msub> | 35, 112 |
| abstract_inverted_index.</m:msup> | 53 |
| abstract_inverted_index.<m:mfrac> | 71, 221 |
| abstract_inverted_index.<m:mspace | 94, 141, 156, 158, 160 |
| abstract_inverted_index.<m:mtable | 23 |
| abstract_inverted_index.boundary. | 197 |
| abstract_inverted_index.close=""> | 21 |
| abstract_inverted_index.diffusion | 12 |
| abstract_inverted_index.nonlinear | 11 |
| abstract_inverted_index.solutions | 205 |
| abstract_inverted_index.</m:mfrac> | 78, 228 |
| abstract_inverted_index.<m:mfenced | 19, 67 |
| abstract_inverted_index.chemotaxis | 8 |
| abstract_inverted_index.close=")"> | 69 |
| abstract_inverted_index.</m:mtable> | 153 |
| abstract_inverted_index.\frac{3}{2} | 232 |
| abstract_inverted_index.boundedness | 202 |
| abstract_inverted_index.investigate | 5 |
| abstract_inverted_index.</m:mfenced> | 84, 155 |
| abstract_inverted_index.sensitivity: | 15 |
| abstract_inverted_index.<m:mi>g</m:mi> | 122 |
| abstract_inverted_index.<m:mi>t</m:mi> | 33, 96, 110, 128, 143 |
| abstract_inverted_index.<m:mi>u</m:mi> | 30, 46, 57, 73, 120 |
| abstract_inverted_index.<m:mi>v</m:mi> | 76, 82, 107, 116, 118 |
| abstract_inverted_index.<m:mi>x</m:mi> | 89, 126, 136 |
| abstract_inverted_index.<m:mn>0</m:mn> | 98, 145 |
| abstract_inverted_index.<m:mn>1</m:mn> | 51 |
| abstract_inverted_index.<m:mn>2</m:mn> | 226 |
| abstract_inverted_index.<m:mn>3</m:mn> | 223 |
| abstract_inverted_index.<m:mo>(</m:mo> | 42, 124, 163 |
| abstract_inverted_index.<m:mo>)</m:mo> | 59, 130, 167 |
| abstract_inverted_index.<m:mo>+</m:mo> | 119, 121 |
| abstract_inverted_index.<m:mo>,</m:mo> | 85, 93, 99, 127, 132, 140, 146 |
| abstract_inverted_index.<m:mo>=</m:mo> | 36, 113 |
| abstract_inverted_index.v\right),& | 178 |
| abstract_inverted_index.{v}_{t}=\Delta | 183 |
| abstract_inverted_index.<m:mi>θ</m:mi> | 49, 219 |
| abstract_inverted_index.<m:mi>χ</m:mi> | 62 |
| abstract_inverted_index.two-dimensional | 7 |
| abstract_inverted_index.width="2.0em"/> | 157, 159, 161 |
| abstract_inverted_index.(1.10)–(1.11). | 234 |
| abstract_inverted_index.<m:mo>∇</m:mo> | 38, 55, 64, 80 |
| abstract_inverted_index.<m:mo>∈</m:mo> | 90, 137 |
| abstract_inverted_index.<m:mo>−</m:mo> | 50, 61, 117 |
| abstract_inverted_index.<m:mo>∗</m:mo> | 165, 212 |
| abstract_inverted_index.<m:mo>⋅</m:mo> | 40, 66 |
| abstract_inverted_index.display="block"> | 18 |
| abstract_inverted_index.width="0.33em"/> | 95, 142 |
| abstract_inverted_index.<m:mo>></m:mo> | 97, 144, 220 |
| abstract_inverted_index.\left({u}^{\theta | 172 |
| abstract_inverted_index.columnalign="left"> | 27, 88, 104, 135 |
| abstract_inverted_index.,\hspace{0.33em}t\gt | 181, 187 |
| abstract_inverted_index.columnalign="left"/> | 151 |
| abstract_inverted_index.displaystyle="true"> | 24 |
| abstract_inverted_index.\left(\frac{u}{v}\nabla | 177 |
| abstract_inverted_index.v-v+u+g\left(x,t),& | 184 |
| abstract_inverted_index.mathvariant="normal">Δ</m:mi> | 115 |
| abstract_inverted_index.mathvariant="normal">Ω</m:mi> | 92, 139 |
| abstract_inverted_index.\left\{\begin{array}{ll}{u}_{t}=\nabla | 170 |
| abstract_inverted_index.xmlns:m="http://www.w3.org/1998/Math/MathML" | 17 |
| abstract_inverted_index.xmlns:m="http://www.w3.org/1998/Math/MathML"> | 211, 218 |
| abstract_inverted_index.\end{array}\right.\hspace{2.0em}\hspace{2.0em}\hspace{2.0em}\left(\ast | 189 |
| cited_by_percentile_year.max | 95 |
| cited_by_percentile_year.min | 91 |
| corresponding_author_ids | https://openalex.org/A5034502538 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| corresponding_institution_ids | https://openalex.org/I47720641 |
| citation_normalized_percentile.value | 0.55729603 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |