Search Results - "Wei, Dongyi"
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Diffusion and mixing in fluid flow via the resolvent estimate
Published in Science China. Mathematics (01-03-2021)“…In this paper, we first present a Gearhart-Prüss type theorem with a sharp bound for m -accretive operators. Then we give two applications: (1) we give a…”
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On the 3D Relativistic Vlasov-Maxwell System with Large Maxwell Field
Published in Communications in mathematical physics (01-05-2021)“…This paper is devoted to the study of relativistic Vlasov-Maxwell system in space dimension three. For a class of large initial data, we prove the global…”
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3
Linear Inviscid Damping for the β-Plane Equation
Published in Communications in mathematical physics (01-04-2020)“…In this paper, we study the linear inviscid damping for the linearized β -plane equation around shear flows. We develop a new method to give the explicit decay…”
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4
Linear Inviscid Damping and Enhanced Dissipation for Monotone Shear Flows
Published in Communications in mathematical physics (01-05-2023)“…In this paper, we study the linearized Navier–Stokes system around monotone shear flows in a finite channel with non-slip boundary condition. We prove that if…”
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5
On Self-similar Finite-Time Blowups of the De Gregorio Model on the Real Line
Published in Communications in mathematical physics (01-09-2023)“…We show that the De Gregorio model on the real line admits infinitely many compactly supported, self-similar solutions that are distinct under rescaling and…”
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On the Global Dynamics of Yang–Mills–Higgs Equations
Published in Communications in mathematical physics (2024)“…We study solutions to the Yang–Mills–Higgs equations on the maximal Cauchy development of the data given on a ball of radius R in R 3 . The energy of the data…”
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7
Transition Threshold for the 2-D Couette Flow in a Finite Channel
Published in Archive for rational mechanics and analysis (01-10-2020)“…In this paper, we study the transition threshold problem for the 2-D Navier–Stokes equations around the Couette flow ( y , 0) at high Reynolds number Re in a…”
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8
Linear Inviscid Damping and Vorticity Depletion for Shear Flows
Published in Annals of PDE (01-06-2019)“…In this paper, we prove the linear damping for the 2-D Euler equations around a class of shear flows under the assumption that the linearized operator has no…”
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9
Pseudospectral Bound and Transition Threshold for the 3D Kolmogorov Flow
Published in Communications on pure and applied mathematics (01-03-2020)“…In this paper, we study pseudospectral bounds for the linearized operator of the Navier‐Stokes equations around the 3D Kolmogorov flow. Using the…”
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10
Enhanced dissipation for the Kolmogorov flow via the hypocoercivity method
Published in Science China. Mathematics (01-06-2019)“…In this paper, we solve Beck and Wayne’s conjecture on the optimal enhanced dissipation rate for the 2-D linearized Navier-Stokes equations around the bar…”
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11
PbUGT72AJ2-Mediated Glycosylation Plays an Important Role in Lignin Formation and Stone Cell Development in Pears (Pyrus bretschneideri)
Published in International journal of molecular sciences (18-07-2022)“…Glycosylation is necessary for many processes of plant secondary metabolism. It can maintain plant homeostasis and is of great significance to normal plant…”
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12
Global existence of the two-dimensional axisymmetric Euler equations for the Chaplygin gas with large angular velocities
Published in Advanced nonlinear studies (16-11-2022)“…The Chaplygin gas model is both interesting and important in the theory of gas dynamics and conservation laws, all the characteristic families of which are…”
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13
MicroRNA‑199a‑5p suppresses migration and invasion in oral squamous cell carcinoma through inhibiting the EMT‑related transcription factor SOX4
Published in International journal of molecular medicine (01-07-2019)“…MicroRNAs (miRs) are small, non-coding RNAs that can act as oncogenes or tumor suppressor genes in human cancer. Recent studies have revealed that miR-199a-5p…”
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14
CoHIT: a one-pot ultrasensitive ERA-CRISPR system for detecting multiple same-site indels
Published in Nature communications (12-06-2024)“…Genetic testing is crucial for precision cancer medicine. However, detecting multiple same-site insertions or deletions (indels) is challenging. Here, we…”
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15
Construction and validation of a prognostic model for osteosarcoma patients based on autophagy-related genes
Published in Discover. Oncology (31-12-2022)“…Background Osteosarcoma is the most frequent primary bone malignancy with a poor prognosis because of pulmonary metastasis. Autophagy is strongly associated…”
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16
Regularity criterion to the axially symmetric Navier–Stokes equations
Published in Journal of mathematical analysis and applications (01-03-2016)“…Smooth solutions to the axially symmetric Navier–Stokes equations obey the following maximum principle: ‖ruθ(r,z,t)‖L∞≤‖ruθ(r,z,0)‖L∞. We first prove the…”
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17
Global well-posedness and blow-up for the 2-D Patlak–Keller–Segel equation
Published in Journal of functional analysis (15-01-2018)“…In this paper, we prove that for every nonnegative initial data in L1(R2), the Patlak–Keller–Segel equation is globally well-posed if and only if the total…”
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18
Transition Threshold for the 3D Couette Flow in Sobolev Space
Published in Communications on pure and applied mathematics (01-11-2021)“…In this paper, we study the transition threshold of the 3D Couette flow in Sobolev space at high Reynolds number Re. It was proved that if the initial velocity…”
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19
Linear Inviscid Damping for a Class of Monotone Shear Flow in Sobolev Spaces
Published in Communications on pure and applied mathematics (01-04-2018)“…In this paper, we prove the decay estimates of the velocity and H1 scattering for the two‐dimensional linearized Euler equations around a class of monotone…”
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On the Defocusing Semilinear Wave Equations in Three Space Dimension with Small Power
Published in International mathematics research notices (17-12-2022)“…Abstract By introducing new weighted vector fields as multipliers, we derive quantitative pointwise estimates for solutions of defocusing semilinear wave…”
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