The Experts below are selected from a list of 318 Experts worldwide ranked by ideXlab platform
Huijiang Zhao - One of the best experts on this subject based on the ideXlab platform.
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The Vlasov–Maxwell–Boltzmann System Near Maxwellians in the Whole Space with Very Soft Potentials
Communications in Mathematical Physics, 2017Co-Authors: Renjun Duan, Yuanjie Lei, Tong Yang, Huijiang ZhaoAbstract:Since the work by Guo (Invent Math 153(3):593–630, 2003), it has remained an open problem to establish the global existence of perturbative classical solutions around a global Maxwellian to the Vlasov–Maxwell–Boltzmann system with the whole range of soft potentials. This is mainly due to the complex structure of the system, in particular, the degenerate dissipation at large velocity, the velocity-growth of the nonlinear term induced by the Lorentz force, and the Regularity-loss of the electromagnetic fields. This paper solves this problem in the whole space provided that initial perturbation has Sufficient Regularity and velocity-integrability.
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The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials
arXiv: Analysis of PDEs, 2014Co-Authors: Renjun Duan, Yuanjie Lei, Tong Yang, Huijiang ZhaoAbstract:Since the work [13] by Guo [Invent. Math. 153 (2003), no. 3, 593--630], how to establish the global existence of perturbative classical solutions around a global Maxwellian to the Vlasov-Maxwell-Boltzmann system with the whole range of soft potentials has been an open problem. This is mainly due to the complex structure of the system, in particular, the degenerate dissipation at large velocity, the velocity-growth of the nonlinear term induced by the Lorentz force, and the Regularity-loss of the electromagnetic fields. This paper aims to resolve this problem in the whole space provided that initial perturbation has Sufficient Regularity and velocity-integrability.
Renjun Duan - One of the best experts on this subject based on the ideXlab platform.
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The Vlasov–Maxwell–Boltzmann System Near Maxwellians in the Whole Space with Very Soft Potentials
Communications in Mathematical Physics, 2017Co-Authors: Renjun Duan, Yuanjie Lei, Tong Yang, Huijiang ZhaoAbstract:Since the work by Guo (Invent Math 153(3):593–630, 2003), it has remained an open problem to establish the global existence of perturbative classical solutions around a global Maxwellian to the Vlasov–Maxwell–Boltzmann system with the whole range of soft potentials. This is mainly due to the complex structure of the system, in particular, the degenerate dissipation at large velocity, the velocity-growth of the nonlinear term induced by the Lorentz force, and the Regularity-loss of the electromagnetic fields. This paper solves this problem in the whole space provided that initial perturbation has Sufficient Regularity and velocity-integrability.
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The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials
arXiv: Analysis of PDEs, 2014Co-Authors: Renjun Duan, Yuanjie Lei, Tong Yang, Huijiang ZhaoAbstract:Since the work [13] by Guo [Invent. Math. 153 (2003), no. 3, 593--630], how to establish the global existence of perturbative classical solutions around a global Maxwellian to the Vlasov-Maxwell-Boltzmann system with the whole range of soft potentials has been an open problem. This is mainly due to the complex structure of the system, in particular, the degenerate dissipation at large velocity, the velocity-growth of the nonlinear term induced by the Lorentz force, and the Regularity-loss of the electromagnetic fields. This paper aims to resolve this problem in the whole space provided that initial perturbation has Sufficient Regularity and velocity-integrability.
Wassim M. Haddad - One of the best experts on this subject based on the ideXlab platform.
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Semistability of switched dynamical systems, Part II: Non-linear system theory
Nonlinear Analysis: Hybrid Systems, 2009Co-Authors: Qing Hui, Wassim M. HaddadAbstract:Abstract This paper develops semistability and uniform semistability analysis results for switched linear systems. Semistability is the property whereby the solutions of a dynamical system converge to Lyapunov stable equilibrium points determined by the system’s initial conditions. Since solutions to switched systems are a function of the system’s initial conditions as well as the switching signals, uniformity here refers to the convergence rate of the multiple solutions as the switching signal evolves over a given switching set. The main results of the paper involve Sufficient conditions for semistability and uniform semistability using multiple Lyapunov functions and Sufficient Regularity assumptions on the class of switching signals considered.
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ACC - Semistability of switched linear systems
2009 American Control Conference, 2009Co-Authors: Qing Hui, Wassim M. HaddadAbstract:This paper develops semistability and uniform semistability analysis results for switched linear systems. Semistability is the property whereby the solutions of a dynamical system converge to Lyapunov stable equilibrium points determined by the system initial conditions. Since solutions to switched systems are a function of the system initial conditions as well as the switching signals, uniformity here refers to the convergence rate of the multiple solutions as the switching signal evolves over a given switching set. The main results of the paper involve Sufficient conditions for semistability and uniform semistability using multiple Lyapunov functions and Sufficient Regularity assumptions on the class of switching signals considered.
Yuanjie Lei - One of the best experts on this subject based on the ideXlab platform.
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The Vlasov–Maxwell–Boltzmann System Near Maxwellians in the Whole Space with Very Soft Potentials
Communications in Mathematical Physics, 2017Co-Authors: Renjun Duan, Yuanjie Lei, Tong Yang, Huijiang ZhaoAbstract:Since the work by Guo (Invent Math 153(3):593–630, 2003), it has remained an open problem to establish the global existence of perturbative classical solutions around a global Maxwellian to the Vlasov–Maxwell–Boltzmann system with the whole range of soft potentials. This is mainly due to the complex structure of the system, in particular, the degenerate dissipation at large velocity, the velocity-growth of the nonlinear term induced by the Lorentz force, and the Regularity-loss of the electromagnetic fields. This paper solves this problem in the whole space provided that initial perturbation has Sufficient Regularity and velocity-integrability.
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The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials
arXiv: Analysis of PDEs, 2014Co-Authors: Renjun Duan, Yuanjie Lei, Tong Yang, Huijiang ZhaoAbstract:Since the work [13] by Guo [Invent. Math. 153 (2003), no. 3, 593--630], how to establish the global existence of perturbative classical solutions around a global Maxwellian to the Vlasov-Maxwell-Boltzmann system with the whole range of soft potentials has been an open problem. This is mainly due to the complex structure of the system, in particular, the degenerate dissipation at large velocity, the velocity-growth of the nonlinear term induced by the Lorentz force, and the Regularity-loss of the electromagnetic fields. This paper aims to resolve this problem in the whole space provided that initial perturbation has Sufficient Regularity and velocity-integrability.
Tong Yang - One of the best experts on this subject based on the ideXlab platform.
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The Vlasov–Maxwell–Boltzmann System Near Maxwellians in the Whole Space with Very Soft Potentials
Communications in Mathematical Physics, 2017Co-Authors: Renjun Duan, Yuanjie Lei, Tong Yang, Huijiang ZhaoAbstract:Since the work by Guo (Invent Math 153(3):593–630, 2003), it has remained an open problem to establish the global existence of perturbative classical solutions around a global Maxwellian to the Vlasov–Maxwell–Boltzmann system with the whole range of soft potentials. This is mainly due to the complex structure of the system, in particular, the degenerate dissipation at large velocity, the velocity-growth of the nonlinear term induced by the Lorentz force, and the Regularity-loss of the electromagnetic fields. This paper solves this problem in the whole space provided that initial perturbation has Sufficient Regularity and velocity-integrability.
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The Vlasov-Maxwell-Boltzmann system near Maxwellians in the whole space with very soft potentials
arXiv: Analysis of PDEs, 2014Co-Authors: Renjun Duan, Yuanjie Lei, Tong Yang, Huijiang ZhaoAbstract:Since the work [13] by Guo [Invent. Math. 153 (2003), no. 3, 593--630], how to establish the global existence of perturbative classical solutions around a global Maxwellian to the Vlasov-Maxwell-Boltzmann system with the whole range of soft potentials has been an open problem. This is mainly due to the complex structure of the system, in particular, the degenerate dissipation at large velocity, the velocity-growth of the nonlinear term induced by the Lorentz force, and the Regularity-loss of the electromagnetic fields. This paper aims to resolve this problem in the whole space provided that initial perturbation has Sufficient Regularity and velocity-integrability.
