1-Harmonic [GM10]. Absorption [Kal12]. Abstract [IS10]. Accelerated [GK10]. Accelerating [Gar11]. Acoustic [NUW11]. Acoustical [BV10]. Addendum [BA12]. Additional [LT11]. Adhesion [DGVBW10]. Adjoint [BC11]. Affine [AMW10]. Aggregation [BGL12, Don11]. Algorithms [BCD11, YMYC10]. Almost [AMW10, KZ11]. Analysis [CF11, ES10, FHX10, Gro10]. Analyticity [Hen10]. Anisotropic [CM11]. Application [HZ10, LN10, PT11]. Applications [CD11, Ign10, Kol11]. Applied [ABGS10, DWZ10]. Approach [AMP10, BP12, BBS11, CWE10]. Approximation [BM10, BB10a, DS10a, HNW10, HNSW11, YMYC10]. Approximations [CT11]. Area [Dai10].

/pdf/a-bibliography-of-publications-in-siam-journal-on-1cando64vl.pdf

A Bibliography of Publications in SIAM Journal on Mathematical Analysis for 2010{2019

We study the Cauchy problem of the two-dimensional Poisson–Nernst–Planck (PNP) system in Besov spaces for r ≥ 2 Our work shows a dichotomy of well-posedness and ill-posedness depending only on r Specifically, when r = 2, combining the key bilinear estimates in with the heat semigroup characterization of Besov spaces, we prove the well-posedness of the PNP in , while for r > 2 we show that the PNP is ill-posed in in the sense that the difference of the charges must satisfy certain requirements, ie either the difference belongs to for r > 2 and the summation belongs to , or the difference belongs to and the summation belongs to for r > 2 Thus our results indicate that the difference of charges plays a crucial role and might provide some instability criterion for numerical analysis

https://iopscience.iop.org/article/10.1088/0951-7715/26/11/2993/pdf

Endpoint bilinear estimates and applications to the two-dimensional Poisson–Nernst–Planck system

In this paper we study quasi-neutral limit and the initial layer problem of the electro-diffusion model arising in electro-hydrodynamics which is the coupled Planck–Nernst–Poisson and Navier–Stokes equations. Different from other studies, we consider the physical case that the mobilities of the charges are different. For the generally smooth doping profile and for the ill-prepared initial data, under the assumption that the difference between the mobilities of two kinds of charges is very small, the quasi-neutral limit with an initial layer structure is rigorously proved by using the weighted energy method coupled with multi-scaling asymptotic expansions.

Quasi-neutral limit and the initial layer problem of the electro-diffusion model arising in electro-hydrodynamics

Asymptotic Behavior of the Solution to a 3-D Simplified Energy-Transport Model for Semiconductors

The mixed layer problem and vanishing Debye length limit (space charge neutral limit) of the bipolar time-dependent drift-diffusion model for semiconductors with p-n junctions are studied in one space dimension. For the general sign-changing doping profile and the general initial data, the quasi-neutral limit is proven rigorously by constructing a more accurate approximate solution by taking into account the effects of the initial layer, the boundary layer, and an extra mixed layer mixing of the fast time and fast space scales, and by using an elaborate energy method.

The Mixed Layer Problem and Quasi-Neutral Limit of the Drift-Diffusion Model for Semiconductors

Quasi-neutral limit to the drift-diffusion models for semiconductors with physical contact-insulating boundary conditions

In this paper, we study the strong global attractors for a three dimensional nonclassical diffusion equation with memory. First, we prove the existence and uniqueness of strong solutions for the equations by the Galerkin method. Then we prove the existence of global attractors for the equations in $H^2(\Omega)\cap H^1_0(\Omega)\times L^2_\mu(\mathbb{R}^+;H^2(\Omega)\cap H^1_0(\Omega))$ by the condition (C).

Strong global attractors for a three dimensional nonclassical diffusion equation with memory

In this paper, we discuss the long-time behavior of solutions to the nonclassical diffusion equation with fading memory when the nonlinear term $f$ fulfills the polynomial growth of arbitrary order and the external force $ g(x)\in L^{2}(\Omega)$. In the framework of time-dependent spaces, we verify the existence and uniqueness of strong solutions by the Galerkin method, then we obtain the existence of the time-dependent global attractor $\mathscr{A}=\{A_t\}_{t\in \mathbb{R}}$ in $\mathcal{M}_t^1$.

Strong attractors for the nonclassical diffusion equation with fading memory in time-dependent spaces

Handle everyday research tasks with reliable, citation-backed results

Your personal Research Agent to handle research tasks with citation-backed results

Popular Tasks used by Researchers

How can I help with your research?

Meet SciSpace

Get more enhanced response by uploading the PDFs you want me to reference.

No relevant PDFs in your library

SciSpace is the AI research assistant for academics. Run systematic literature reviews on 280M+ papers, and write papers with cited sources. Trusted by 1M+ students, PhDs & researchers.

SciSpace | AI for Research

Analyze PDFs

Code & Manuscripts

Funding & Grants

Literature & Patents

Medical & Clinical Data

Systematic Review

Visualize & Present

Web & Data

Build a Google Scholar-like website for your research.

Build a website

Create charts and images for your research

Create a Chart

Write a paper for submission to a journal

Draft a manuscript

Patent Search

Design eye-catching scientific posters in minutes.

Scientific Poster Generation

Systematic Literature Review

One task is running at the moment. Your messages will be shown right after.

Drag and drop or click here to browse

Loved by <highlight>1 million+</highlight> researchers

Extract a list of specific topics and their sources from unstructured text

Topics

Compare and analyze relevant papers that matches with your search

Papers

Get insights from PDFs and bookmarked papers from your library

My library

Recent searches

Try searching for:

Catch AI-generated content in scholarly and non-scholarly content

{ai} Detector

Ai Writer

Get PDF Summaries, highlighted text explanations 

Chat with PDF

Effortlessly create in-text citations and bibliographies in APA and 2,500 other formats

Citation generator

Get explanations, summaries, and answers on academic papers

Ease up your research workflow with {scispace}'s cohort of exciting AI tools

Elevate your academic writing skills and convey your ideas the way you want

Paraphraser

Explore our range of reading and writing tools

Your file is being prepared and should be ready in a few minutes. If it's a large file, it might take a bit longer. You can close this window, and we'll email you the file when it's done.

You have reached a maximum limit of <strong>{limit}</strong> columns in the table. Remove at least <strong>1</strong> column to add or create another one.

Ke Wang

Author Tools

Chat about Author

Papers

The Mixed Layer Problem and Quasi-Neutral Limit of the Drift-Diffusion Model for Semiconductors

Quasi-neutral limit to the drift-diffusion models for semiconductors with physical contact-insulating boundary conditions

Strong global attractors for a three dimensional nonclassical diffusion equation with memory

Strong attractors for the nonclassical diffusion equation with fading memory in time-dependent spaces