In this paper, we investigate the anomalous dispersive relations, inverse scattering transform with a Riemann–Hilbert (RH) problem, and fractional multi-solitons of integrable combined higher-order mKdV (fhmKdV) hierarchy, including (fmKdV), fifth-order (f5mKdV), third–fifth-order (f35mKdV) equations, etc., which can be featured via completeness squared scalar eigenfunctions ZS spectral problem...

Injecting supercritical CO2 (scCO2) into brine-filled fracture-dominated reservoirs causes brine displacement and possibly evaporite precipitations that alter the fracture space. Here, we report on isothermal laboratory experiments scCO2-induced flow-through drying in a naturally fractured granodiorite specimen under effective normal stresses of 5-10 MPa, where two regimes are identified. A nov...

We study the significance of Photon/Phonons bunching and antibunching on dynamics quantum entanglement in presence coupled PT-symmetry systems with balanced/unbalanced gain loss. suggest a hybrid electromechanical system to realize strong tunable coupling between Coplanar-Waveguide (CPW) microwave cavity nanomechanical resonator (NAMR) via superconducting Transmon qubit. The consists non-hermit...

In this paper, we present and analyse a coupled electrochemomechanical model for the cycling of nanowire composed amorphous Si coated on Cu15Si4, using large-deformation theory. This study is motivated by recent novel design anode current collector in lithium-ion battery, modelling efforts are linked to half-cell experiments at three different charging rates (C/10,C/2,2C). The predicts that buc...

In this paper we conduct a priori and posteriori error analysis of the C0 interior penalty method for Hamilton–Jacobi–Bellman equations, with coefficients that satisfy Cordes condition. These estimates show quasi-optimality method, provide one an adaptive finite element method. accordance proven regularity theory, only assume solution equation belongs to H2.

RNA-protein cross-links were introduced into E. coli 30S ribosomal subunits by treatment with methyl p-azidopEenyl acetimidate. After partial nuclease digestion of the RNA moiety, a number of cross-linked RNA-protein complexes were isolated by a new three-step procedure. Protein and RNA analysis of the individual complexes gave the following results: Proteins S3, S4, S5 and S8 are cross-linked ...

We study symmetric diffusion operators on metric measure spaces. Our main question is whether essential self-adjointness or Lp-uniqueness are preserved under the removal of a small closed set from space. provide characterizations critical size removed sets in terms capacities and Hausdorff dimension without any further assumption sets. As key tool we prove non-linear truncation result for poten...

In this paper order estimates of the Kolmogorov widths for some weighted Sobolev classes in a Lebesgue space are obtained. The defined by restriction on Lp1-norm highest derivative and Lp0-norm function.

This paper studies interval estimation for discrete-time linear systems with unknown but bounded disturbances. Inspired by the parity space approach, we propose a point estimator fixed-time convergence property. The is combined zonotope-based analysis to achieve fast estimation. parameter matrix in optimized minimizing length of edges outer box error zonotope. It formulated as L1 optimization p...

Abstract The global existence of weak solutions to a class quasilinear parabolic equations with nonlinearities depending on first order terms and integrable data in moving domain is investigated. includes the p -Laplace equation as special case. Weak are shown be by obtaining appropriate estimates gradient well suitable version Aubin–Lions lemma domains.