NSTL国家科技图书文献中心

1. Global existence via starvation-driven ratio-dependent motility in chemotaxis consumption models NSTL国家科技图书文献中心

Yoon, Changwook - 《Nonlinear analysis.Real world applications》 - 2025,85 - 共10页

摘要： global existence of classical solutions in bounded | In this study, we introduce a chemotaxis | consumption model incorporating a motility function designed | to quantify the average resource availability per | individual. This model is developed in the context of

关键词： Chemotaxis | Global existence | Ratio-dependent motility

2. Global existence of classical solutions to a fully parabolic two-species chemotaxis model with singular sensitivity NSTL国家科技图书文献中心

Zhang, Weiyi | Xu, Ming - 《ZAMP》 - 2025,76(2) - 共21页

摘要：In this paper, we investigate the global | existence of classical solution to the following parabolic | ) possesses a global* and classical solution as long as gamma* | -parabolic-parabolic chemotaxis system with singular | sensitivity { u(t)=Delta u-chi(1)del(u/w del w)+f(1)(u, v

关键词： Chemotaxis system | Singular sensitivity | Global existence

3. Global existence and boundedness in a chemotaxis-convection model with sensitivity functions for tumor angiogenesis NSTL国家科技图书文献中心

Chiyo, Yutaro | Mizukami, Masaaki - 《Nonlinear analysis.Real world applications》 - 2025,84 - 共13页

摘要： paper is to establish global* existence and boundedness* | This paper deals with the fully parabolic | chemotaxis-convection model with sensitivity functions for | tumor angiogenesis, {u(t) = Delta u - del & sdot; (u | chi(1)(v) del v) + del & sdot; (u chi(2)(w) del w

关键词： Chemotaxis | Global existence | Boundedness | Tumor angiogenesis

4. Global existence and boundedness in a 3D predator-prey system with nonlinear diffusion and prey-taxis NSTL国家科技图书文献中心

Wang, Renhu | Wang, Xuezhong - 《Nonlinear analysis.Real world applications》 - 2025,85 - 共13页

摘要： function, we rigorously prove the global* existence and* | In this paper, we investigate the 3 | -dimensional predator-prey system with nonlinear diffusion | and nonlinear chemotactic sensitivity in a bounded | domain Q with smooth boundary. Under the suitable

关键词： Global existence | 3D predator-prey system | Chemotactic sensitivity | Boundedness

5. Global existence and modulation analysis for the stochastic Degasperis-Procesi equation with transport noise NSTL国家科技图书文献中心

Chen, Yong | Gao, Hongjun ... - 《Nonlinearity》 - 2025,38(7) - 共51页

摘要：. Then, we show two global* existence results under* | value. The other is the global* existence in large* | local existence* and uniqueness of the stochastic DP* | different initial value conditions. One is the global | existence under a non-negative condition of the initial

关键词： stochastic Degasperis-Procesi equation | global existence | solitary waves | random modulation | central limit theorem

6. Global Existence and Blow-up Solutions for a Parabolic Equation with Critical Nonlocal Interactions NSTL国家科技图书文献中心

Jian Zhang | Vicentiu D. Radulesc...... - 《Journal of dynamics and differential equations》 - 2025,37(1) - 687～725 - 共39页

摘要： potential well method, we obtain global* existence and blow* | global existence and blow-up of solutions. In addition | critical, and it is proved that the global* solutions are* | -norm of the global* solutions. When the initial energy* | global solutions, which is similar to the Palais-Smale

关键词： Nonlocal parabolic equation | Hardy-Littlewood-Sobolev critical exponent | Global existence | Asymptotic behavior | Finite time blow-up

7. Global Existence of Large Solutions for the 3D Coupled Chemotaxis-Fluid Equations NSTL国家科技图书文献中心

Cai, Zhongbo | Zhao, Jihong - 《Bulletin of the Malaysian Mathematical Sciences Society》 - 2025,48(2) - 共26页

摘要： establish the global* existence of solutions with small* | global solution. | In this paper, we are concerned with a class | of chemotaxis-fluid models, which is a coupled | system by parabolic-parabolic Keller-Segel equations

关键词： Chemotaxis-fluid equations | Global existence | Large solutions | Fourier-Besov spaces

8. Classical solutions of higher dimensional einstein-maxwell-higgs system with nontrivial potential: global existence and completeness NSTL国家科技图书文献中心

Wijayanto, Mirda Pri... | Akbar, Fiki Taufik ... - 《General Relativity and Gravitation》 - 2025,57(6) - 共31页

摘要： global existence of classical solutions. Finally, by | We study the Cauchy problem of higher | dimensional Einstein-Maxwell-Higgs system in the framework | of Bondi coordinates. As a first step, the problem | is reduced to a single first-order integro

关键词： Higher dimensional gravity | Einstein-Maxwell-Higgs system | Global existence | Spacetime completeness

9. Global existence of solutions to a three-species spatial food chain model with alarm-taxis and singular sensitivity NSTL国家科技图书文献中心

Liu, Yixuan | Xie, Li - 《ZAMP》 - 2025,76(2) - 共28页

摘要： density are required to attain the global* existence of* | global existence of classical solutions, under a | This manuscript considers a spatial food chain | model with alarm-taxis and singular sensitivity in a | smoothly bounded plainer domain under zero-flux boundary

关键词： Food chain model | Alarm-taxis | Singular sensitivity | Global existence

10. GLOBAL EXISTENCE OF SOLUTIONS TO A KELLER-SEGEL MODEL WITH LOGISTIC SOURCE IN R~2 NSTL国家科技图书文献中心

JINHUAN WANG | HAOMENG CHEN ... - 《Discrete and continuous dynamical systems,Series B》 - 2025,30(8) - 2806～2821 - 共16页

摘要： obtaining global* existence of bounded solutions by the* | -Segel model in that the existence* of the logistic* | -Segel model, the existence* of a logistic source* | In this paper, we consider the following | parabolic-elliptic chemotaxis system with logistic source

摘要： global existence of classical solutions in bounded | In this study, we introduce a chemotaxis | consumption model incorporating a motility function designed | to quantify the average resource availability per | individual. This model is developed in the context of

关键词： Chemotaxis | Global existence | Ratio-dependent motility

摘要：In this paper, we investigate the global | existence of classical solution to the following parabolic | ) possesses a global* and classical solution as long as gamma* | -parabolic-parabolic chemotaxis system with singular | sensitivity { u(t)=Delta u-chi(1)del(u/w del w)+f(1)(u, v

关键词： Chemotaxis system | Singular sensitivity | Global existence

摘要： paper is to establish global* existence and boundedness* | This paper deals with the fully parabolic | chemotaxis-convection model with sensitivity functions for | tumor angiogenesis, {u(t) = Delta u - del & sdot; (u | chi(1)(v) del v) + del & sdot; (u chi(2)(w) del w

关键词： Chemotaxis | Global existence | Boundedness | Tumor angiogenesis

摘要： function, we rigorously prove the global* existence and* | In this paper, we investigate the 3 | -dimensional predator-prey system with nonlinear diffusion | and nonlinear chemotactic sensitivity in a bounded | domain Q with smooth boundary. Under the suitable

关键词： Global existence | 3D predator-prey system | Chemotactic sensitivity | Boundedness

摘要：. Then, we show two global* existence results under* | value. The other is the global* existence in large* | local existence* and uniqueness of the stochastic DP* | different initial value conditions. One is the global | existence under a non-negative condition of the initial

关键词： stochastic Degasperis-Procesi equation | global existence | solitary waves | random modulation | central limit theorem

关键词： Nonlocal parabolic equation | Hardy-Littlewood-Sobolev critical exponent | Global existence | Asymptotic behavior | Finite time blow-up

摘要： establish the global* existence of solutions with small* | global solution. | In this paper, we are concerned with a class | of chemotaxis-fluid models, which is a coupled | system by parabolic-parabolic Keller-Segel equations

关键词： Chemotaxis-fluid equations | Global existence | Large solutions | Fourier-Besov spaces

摘要： global existence of classical solutions. Finally, by | We study the Cauchy problem of higher | dimensional Einstein-Maxwell-Higgs system in the framework | of Bondi coordinates. As a first step, the problem | is reduced to a single first-order integro

关键词： Higher dimensional gravity | Einstein-Maxwell-Higgs system | Global existence | Spacetime completeness

摘要： density are required to attain the global* existence of* | global existence of classical solutions, under a | This manuscript considers a spatial food chain | model with alarm-taxis and singular sensitivity in a | smoothly bounded plainer domain under zero-flux boundary

关键词： Food chain model | Alarm-taxis | Singular sensitivity | Global existence

摘要： obtaining global* existence of bounded solutions by the* | -Segel model in that the existence* of the logistic* | -Segel model, the existence* of a logistic source* | In this paper, we consider the following | parabolic-elliptic chemotaxis system with logistic source

关键词： Keller-Segel equations | Parabolic-elliptic type | Cauchy problem | logistic source | global existence

4008-161-200 800-990-8900

国家科技图书文献中心

摘要： global existence of classical solutions in bounded | In this study, we introduce a chemotaxis | consumption model incorporating a motility function designed | to quantify the average resource availability per | individual. This model is developed in the context of

关键词： Chemotaxis | Global existence | Ratio-dependent motility

摘要：In this paper, we investigate the global | existence of classical solution to the following parabolic | ) possesses a global and classical solution as long as gamma | -parabolic-parabolic chemotaxis system with singular | sensitivity { u(t)=Delta u-chi(1)del(u/w del w)+f(1)(u, v

关键词： Chemotaxis system | Singular sensitivity | Global existence

摘要： paper is to establish global existence and boundedness | This paper deals with the fully parabolic | chemotaxis-convection model with sensitivity functions for | tumor angiogenesis, {u(t) = Delta u - del & sdot; (u | chi(1)(v) del v) + del & sdot; (u chi(2)(w) del w

关键词： Chemotaxis | Global existence | Boundedness | Tumor angiogenesis

摘要： function, we rigorously prove the global existence and | In this paper, we investigate the 3 | -dimensional predator-prey system with nonlinear diffusion | and nonlinear chemotactic sensitivity in a bounded | domain Q with smooth boundary. Under the suitable

关键词： Global existence | 3D predator-prey system | Chemotactic sensitivity | Boundedness

摘要：. Then, we show two global existence results under | value. The other is the global existence in large | local existence and uniqueness of the stochastic DP | different initial value conditions. One is the global | existence under a non-negative condition of the initial

关键词： stochastic Degasperis-Procesi equation | global existence | solitary waves | random modulation | central limit theorem

摘要： potential well method, we obtain global existence and blow | global existence and blow-up of solutions. In addition | critical, and it is proved that the global solutions are | -norm of the global solutions. When the initial energy | global solutions, which is similar to the Palais-Smale

关键词： Nonlocal parabolic equation | Hardy-Littlewood-Sobolev critical exponent | Global existence | Asymptotic behavior | Finite time blow-up

摘要： establish the global existence of solutions with small | global solution. | In this paper, we are concerned with a class | of chemotaxis-fluid models, which is a coupled | system by parabolic-parabolic Keller-Segel equations

关键词： Chemotaxis-fluid equations | Global existence | Large solutions | Fourier-Besov spaces

摘要： global existence of classical solutions. Finally, by | We study the Cauchy problem of higher | dimensional Einstein-Maxwell-Higgs system in the framework | of Bondi coordinates. As a first step, the problem | is reduced to a single first-order integro

关键词： Higher dimensional gravity | Einstein-Maxwell-Higgs system | Global existence | Spacetime completeness

摘要： density are required to attain the global existence of | global existence of classical solutions, under a | This manuscript considers a spatial food chain | model with alarm-taxis and singular sensitivity in a | smoothly bounded plainer domain under zero-flux boundary

关键词： Food chain model | Alarm-taxis | Singular sensitivity | Global existence

摘要： obtaining global existence of bounded solutions by the | -Segel model in that the existence of the logistic | -Segel model, the existence of a logistic source | In this paper, we consider the following | parabolic-elliptic chemotaxis system with logistic source

关键词： Keller-Segel equations | Parabolic-elliptic type | Cauchy problem | logistic source | global existence

4008-161-200 800-990-8900

国家科技图书文献中心

摘要：In this paper, we investigate the global | existence of classical solution to the following parabolic | ) possesses a global* and classical solution as long as gamma* | -parabolic-parabolic chemotaxis system with singular | sensitivity { u(t)=Delta u-chi(1)del(u/w del w)+f(1)(u, v

摘要： paper is to establish global* existence and boundedness* | This paper deals with the fully parabolic | chemotaxis-convection model with sensitivity functions for | tumor angiogenesis, {u(t) = Delta u - del & sdot; (u | chi(1)(v) del v) + del & sdot; (u chi(2)(w) del w

摘要： function, we rigorously prove the global* existence and* | In this paper, we investigate the 3 | -dimensional predator-prey system with nonlinear diffusion | and nonlinear chemotactic sensitivity in a bounded | domain Q with smooth boundary. Under the suitable

摘要：. Then, we show two global* existence results under* | value. The other is the global* existence in large* | local existence* and uniqueness of the stochastic DP* | different initial value conditions. One is the global | existence under a non-negative condition of the initial

摘要： establish the global* existence of solutions with small* | global solution. | In this paper, we are concerned with a class | of chemotaxis-fluid models, which is a coupled | system by parabolic-parabolic Keller-Segel equations

摘要： density are required to attain the global* existence of* | global existence of classical solutions, under a | This manuscript considers a spatial food chain | model with alarm-taxis and singular sensitivity in a | smoothly bounded plainer domain under zero-flux boundary

摘要： obtaining global* existence of bounded solutions by the* | -Segel model in that the existence* of the logistic* | -Segel model, the existence* of a logistic source* | In this paper, we consider the following | parabolic-elliptic chemotaxis system with logistic source