3 problems

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Spectral characterization of linearized orbital stability for relaxation shocks
Consider the linearized operator … about a stationary profile, and let $L$ act on a suitable space such as $L^2$ . Assume the nonpositive point-spectrum condition … Let the tangent…
Conjectureopenrelaxation-systems spectral-stability stability-of-shocksarXiv posted 2 days ago
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Ruggeri's asymptotic convergence conjecture for hyperbolic relaxation systems
Consider the hyperbolic system of $N$ partial differential equations … … where $\mathbf{F}^0(\mathbf{V},\mathbf{W})$ and $\mathbf{F}^i(\mathbf{V},\mathbf{W})$ are column vectors in…
Conjectureopenhyperbolic-systems relaxation-systems riemann-problemsarXiv posted 2 days ago
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Universal approximation by LTSI relaxation systems with monotone readouts
Universal approximation conjecture. Spatio-temporal input-output operators that are myopic in space with completely monotone fading memory can be universally approximated by an LTS…
Conjectureopenoperator-approximation relaxation-systems systems-and-controlarXiv posted 2 days ago

Spectral characterization of linearized orbital stability for relaxation shocks