LOUISVILLE, Ky. (WAVE) - Drivers hoping to catch a break from this summer’s road construction have another major project to be wary of. Next weekend, the state will shut down I-65 southbound just ...

Workers will replace the expansion joints that have required ongoing repairs for the last several years.

Reconciling the strain-stretching curve with the stress-strain diagram of a Hooke-like isotropic hyperelastic material using the Biot’s hyperbolic sine strain tensor ...

5 Partial differential equations based models as approximations of Markov chain dynamics. Modeling complex systems with stochastic partial differential equations The study of Taranets et al. focuses ...

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Partial Differential Equations by I.G. Petrovskii Publication date 1967 Topics soviet literature, mathematics, mathematical physics, elliptic equations, cauchy problem, parabolic equations, hyperbolic ...

The yield curve and recessions. The inversion and un-inversion of the yield curve was often followed by a business cycle recession.

Physics-informed neural networks (PINNs) integrate physical principles into machine learning, finding wide applications in various scientific and engineering fields. However, solving nonlinear ...

This article presents a delay-adaptive boundary control scheme for a 2 × 2 coupled linear hyperbolic partial differential equation (PDE)-ordinary differential equation (ODE) cascade system with an ...

This article considers the backstepping state feedback and observer design for hyperbolic and parabolic PDEs, which are bidirectionally interconnected in a general coupling structure. Both PDE ...