MathDB4 problems
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Structural stability conjecture for weakly stable shocks in isentropic elastodynamics
Let a weakly stable shock wave arise in isentropic elastodynamics. Weak-shock structural stability conjecture. Weakly stable shock waves in isentropic elastodynamics are structural…
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Nonexistence of three-dimensional transformation cloaking for holes of arbitrary shape
Let the virtual body be an isotropic, non-centrosymmetric gradient solid in dimension three, and let the cloaked region contain a hole of arbitrary shape. Nonexistence conjecture.…
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Conjecture on the source of numerical deficiencies in transient coupling methods
Prior mixed and multi-time-step methods for elastodynamics use different time-stepping schemes or time-steps in different subdomains, and may therefore face deficiencies such as li…
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Sedimentary amplification conjecture for tsunami-generation deformations
The generation region is the part of the seabed affected by the underwater earthquake. Sedimentary deposits are geological layers overlying the harder underlying material, and defo…