Trabeculoplasty 发表于 2025-3-28 18:01:56

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一起 发表于 2025-3-28 22:12:26

Willy Dörfler,Marlis Hochbruck,Jonas Köhler,Andreas Rieder,Roland Schnaubelt,Christian Wieners

无思维能力 发表于 2025-3-29 01:24:59

Space-Time Solutions for Linear Hyperbolic SystemsThe linear wave equation can be analyzed in the framework of symmetric Friedrichs systems as a special case of linear hyperbolic conservation laws. Here, we introduce a general framework for the existence and uniqueness of strong and weak solutions in space and time which applies to general linear wave equations.

我邪恶 发表于 2025-3-29 03:23:27

Introduction and Local Wellposedness on ,In this section we develop a local wellposedness theory for the quasilinear Maxwell equations on .. Our approach is based on energy methods and a fixed-point argument, which make use of the linear system with time-depending coefficients.

不合 发表于 2025-3-29 10:00:47

Local Wellposedness on a DomainIn this chapter we extend the results from the previous one to linear and quasilinear Maxwell systems on a spatial domain ., endowed with boundary conditions. The general theory of symmetric hyperbolic systems is much more sophisticated in this case.

Kinetic 发表于 2025-3-29 11:54:01

Exponential Decay Caused by ConductivityIn this chapter we use the wellposedness Theorem . to show global existence and exponential decay to 0 for small initial data in the presence of a strictly positive conductivity ..

Emg827 发表于 2025-3-29 16:22:28

IntroductionSolving wave-type equations numerically requires their discretization either in space and time separately or in space-time. In these lecture notes, we follow a methods-of-lines approach, where we first discretize the problem in space and then in time. For the space discretization, we consider a discontinuous Galerkin finite element method.

喊叫 发表于 2025-3-29 21:09:42

Linear Wave-Type EquationsIn this chapter, we state and analyze the wave-type problem, which we consider within these lecture notes. As mentioned before, we state this problem in a rather general setting, namely in terms of Friedrichs’ operators.

forestry 发表于 2025-3-30 00:18:00

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Promotion 发表于 2025-3-30 06:23:26

Space-Time Solutions for Linear Hyperbolic SystemsThe linear wave equation can be analyzed in the framework of symmetric Friedrichs systems as a special case of linear hyperbolic conservation laws. Here, we introduce a general framework for the existence and uniqueness of strong and weak solutions in space and time which applies to general linear wave equations.
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