we study the exponential decay of global solution for an n-dimensional thermo-elasticity systemin a bounded domain of ℜn . by using the multiplier technique and constructing an energy functional welladapted to the system, the exponential decay is proved.

We explore the fate of the universe given the possibility that the density associated with ‘dark energy’ may decay slowly with time. We model decaying dark energy by a homogeneous scalar field which couples minimally to gravity and whose potential has at least one local maximum. Dark energy decays as the scalar field rolls down its potential and this allows for several interesting possibilities...

in order to respond to the problem of urban decline, different approaches have been defined in sucha way that urban regeneration approach became current in the 1980s (and more wildly after 1995) as a replacement for urban renewal. urban regeneration is the holistic process of reversing economic, social and physical decay in areas where it has reached a stage when market forces alone will not su...

Let E be an elliptic curve, K1 its Kummer curve E/{±1}, E its square product, and K2 the split Kummer surface E /{±1}. The addition law on E gives a large endomorphism ring, which induce endomorphisms of K2. With a view to the practical applications to scalar multiplication on K1, we study the explicit arithmetic of K2.

OBJECTIVE Sorafenib is an oral multikinase inhibitor that has been proven effective as a single-agent therapy in hepatocellular carcinoma, and there is a strong rationale for investigating its use in combination with other agents. Vitamin K2 is nearly non-toxic to humans and has been shown to inhibit the growth of hepatocellular carcinoma. In this study, we evaluated the effects of a combinatio...

Consider the Lie algebras Lr,t : [K1,K2] = sK3, [K3,K1] = rK1, [K3,K2] = −rK2, [K3,K4] = 0, [K4,K1] = −tK1, and [K4,K2] = tK2, subject to the physical conditions, K3 and K4 are real diagonal operators representing energy, K2 = K † 1, and the Hamiltonian H = ω1K3 + (ω1 + ω2)K4 + λ(t)(K1e−iφ +K2e) is a Hermitian operator. Matrix representations are discussed and faithful representations of least ...