PDE Seminar
Jan 1-1, 1970
- Conference Summary
- On a semilinear elliptic equation arising from MEMS
- Vortex solutions for Inhomogeneous Gross-Pitaevskii Equation in Three Dimensional Spaces
- Seminar：A hyperbolic model in micro-electro-mechanical system
- Some results on Kirchhoff type Problems
- PDE Seminar：On the Free Surface Motion of Highly Subsonic Heat-Conducting Flows
- 2维不可压缩弹性力学方程的整体经典解
- 生态学模型的自由边界问题
- The Large Deviation Principle and Steady-state Fluctuation Theorem for the Entropy Production Rate of a Stochastic Process in Magnetic Fields
- Basic results for incompressible Navier-Stokes equations
- Recent progress on classical solutions for compressible isentropic Navier-Stokes equations with degenerate viscosities and vacuum
- Global well-posedness of the Boltzmann equation with large amplitude initial data
- Measure valued solutions to spatially homogenous Boltzmann equation
- Linearized and nonlinear numerical stability for nonlinear PDEs
- Singular Limit of Symmetric Hyperbolic Systems
- Compressible Navier-Stokes equations with degenerate viscosities
- Nonlinear stability of localized and non-localized vortices in rotating compressible media
- Stability of transonic flows past a wedge
- ON EIGENVALUE PROBLEMS ARISING FROM NONLOCAL DIFFUSION MODELS
- A double layer-averaged model for vertically concurrent shallow water flow and shallow water-sediment mixture flow
- Kinetics models of chemotaxis with temporal sensing mechanism: the parabolic limit and its dynamics
- Agent-based models exhibiting spatial aggregation
- PDE Models of Morphogen Dynamics and Growth Control
- Global dynamics of the MHD: nonlinear stability of Alfven waves
- On Magnetic Inhibition Theory in Non-resistive MHD Fluids
- Competitive Exclusion and Coexistence in a Two-Strain Pathogen Model with Diffusion
- Variational methods and numerical simulations on the N-body problem of celestial mechanics
- Spirals and heteroclinic cycles in a spatially extended Rock-Paper-Scissors model of cyclic dominance
- Multiplicity and bifurcation of positive solutions for nonhomogeneous semilinear fractional Laplacian problems
- Mathematical modeling of brain tumor growth with therapies
- Non-isothermal electro-kinetics: energetic variational approach
- Sign-changing Solutions for a Gauged Nonlinear Schrödinger Equation
- Dynamics and Asymptotic Profiles of Steady States of an Epidemic Model in Advective Environments
- Some recent progress on the limit of the principal eigenvalue of a time periodic parabolic operator
- Dynamics and asymptotic profiles of endemic equilibrium for SIS epidemic patch models
- GLOBAL DYNAMICS OF THE LOTKA-VOLTERRA COMPETITION SYSTEM WITH NONLOCAL DIFFUSION
- On a diffusive host-pathogen system with different dispersal rates and spatial heterogeneity
- 几类扩散系统的传播动力学
- The invertibility of Toeplitz Plus Hankel operators
- A new geometric method and its applications in the N-body problem
- Some mathematical analysis on the dynamical models for atmosphere with moisture
- Global well-posedness and large time behavior of the compressible liquid-gas two-phase flow model
- Some results on the free boundary problems for MHD
- Free boundary value problem to 3D spherically symmetric compressible Navier–Stokes–Poisson equations
- Axisymmetric Flow of Ideal Fluid Moving in a Narrow Domain
- Estimates of eigenvalues for subelliptic operators on compact manifolds
- Existence and stability of some nontrivial steady states for the SKT Competition model with large cross-diffusion
- Mathematics in Ideal Free Distribution I
- Mathematics in Ideal Free Distribution II
- Centralizers of hyperbolic flows
- Mini-course on Fluid Mechanics I: On the behavior of incompressible and inviscid planar fluid flow around a small disk
- Mini-course on Fluid Mechanics II: On the behavior of incompressible and inviscid planar fluid flow around a small disk
- Onsager-theory-based tensor model for nematic phases of bent-core molecules
- Traveling Waves and Global Stability to Time-Delayed Reaction-Diffusion Equations with Degenerate Diffusion
- Dynamics of Spike
- Traveling Waves of Gray-Scott System: Results and Open Problems
- Report on recent research works
- Free interface problems arising in premixed flame propagation
- Decay Estimates of Two Kinds of Problems in Fluid Mechanics
- Littlewood-Paley Theory and Navier-Stokes systems I
- Littlewood-Paley Theory and Navier-Stokes systems II
- Littlewood-Paley Theory and Navier-Stokes systems III
- Propagating Terrace and Asymptotic Profile to Time-Periodic Reaction-Diffusion Equations
- Topics on PDE
- Topics on PDE
- Topics on PDE
- Bounded Wave Solutions of the KdV-Burgers-Kuramoto Equation
- Qualitative properties of the solution of a quasi-linear parabolic problem with a source term and a nonlocal absorption
- Uniqueness and non-uniqueness of stationary solutions of aggregation-diffusion equation
- Viscosity Solution to First Order Hamilton-Jacobi Equations and Applications I
- Viscosity Solution to First Order Hamilton-Jacobi Equations and Applications II
- Viscosity Solution to First Order Hamilton-Jacobi Equations and Applications III
- Convergence in Power Law Nonlinear Scalar Field Equations
- Hessian recovery based finite element methods for the Cahn-Hilliard equation
- The asymptotic propagation speed of the Fisher-KPP equation with effective boundary condition on a road
- Solutions for nonlinear Schrodinger equations in a conic singular space
- Theory on Parabolic Equations
- Theory on Parabolic Equations
- Theory on Parabolic Equations
- Theory on Parabolic Equations
- Pullback dynamics of some nonlinear evolutionary equations with respect to some non-autonomous non-compact external forces
- Integrable systems with peakons and cuspons
- Finite Codimensionality Technique in Optimization and Optimal Control Problems
- Global small solutions to the MHD with some kinds of dissipation terms
- 3-reduction of the KP hierarchy and complete classification of soliton solutions for the “good" Boussinesq equation
- An extension of Calderon-Zygmund type singular integral
- The equations of the multi-phase humid atmosphere expressed as a quasi variational inequality
- Global well-posedness on the 3D incompressible Navier-Stokes and Euler equations in orthogonal curvilinear coordinate systems
- Wave Equation with van der Pol Boundary Condition
- Vanishing viscosity limit
- Vanishing viscosity limit II
- Vanishing dissipation limit of planar wave patterns to the multi-dimensional compressible Navier-Stokes equations
- Prandtl Boundary Layer and Complex Fluids
- Time-Periodic Solutions to Quasilinear Hyperbolic Systems with Time-Periodic Boundary Conditions
- Time-Periodic Solutions to Quasilinear Hyperbolic Systems with Time-Periodic Boundary Conditions
- Lojasiewicz-Simon Inequality and its Applications in PDEs I
- Lojasiewicz-Simon Inequality and its Applications in PDEs II
- Dissipation enhancing flows and applications
- Concavity of principal eigenvalue for linear second order operators and its application in population dynamics
- Recent Progress on Asymptotic Stability for 2d Euler Equations
- Uniform structural stability of Poiseuille flows in a pipe under Navier boundary conditions
- Well-posedness of Navier-Stokes equations with vacuum but without compatibility conditions
- [Seminar Series] Spatial decay and stability of traveling waves for some reaction diffusion models
- [Lecture Series] Mathematical analysis of the vortex sheet problem
- Wong-Zakai type approximations of rough random dynamical systems by smooth noise
- Enhanced Dissipation and Transition Threshold for the 2-D Plane Poiseuille flow via Resolvent Estimate
- Analysis of Mechano-Chemical Models of Vasculogenesis
- Global Dynamics of a Predator-Prey Model in Open Advective Environments
- Taxis-driven formation of hotspots in a cross-diffusion model for virus infection
- Hartree equation in the Schatten class
- Modeling Immunity to Malaria with an Age-Structu red PDE Framework
- Soliton Resolution for Wave Type Equations for Wave Type Equations
- [Short course] Elliptic and Parabolic Equations
- Systems of semi-linear wave equations with multiple speeds in two space dimensions and a weaker null condition
- Landau Damping for the Vlasov-Poisson system
- Control of parabolic equations with inverse square infinite potential wells
- Structural stability of interior subsonic steady-states to hydrodynamic model for semiconductors with sonic boundary
- Finite time blow up and lifespan estimate for semilinear wave equations in Schwarzschild spacetime
- Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data
- Zero-dispersion limit for the Benjamin-Ono equation on the torus
- The global stability of the Kaluza-Klein spacetime
- Invariant Gibbs measures for 2D NLS and 3D cubic NLW
- Stability of biological patterns to the chemotaxis models
- Dynamics of the Landau-Lifshitz flows
- On the long time behavior of nonlinear dispersive equations and related problems
- Some big bangs are unstable
- Propagation Phenomenon of Nonlocal Reaction-Diffusion Model with Bounded Phenotypic Traits
- A Delay Induced Nonlocal Free Boundary Problem
- Locally constrained inverse curvature flows and applications
- Optimal Regularity for a Signorini-Type Gradient Degenerate Problem
- Small Scale Creation for 2D Water Waves
- On Isometric Immersions with Low Regularity
- Propagation of Smallness for Solutions of 2D Elliptic Equations
- Localization Estimates for Quantum Dynamics
- Sharp regularity estimates for the collisional kinetic equations
- Global stability of the Minkowski spacetime for the Einstein-Vlasov system
- Multiplicity of Solutions for Quasilinear Elliptic Equations
- Stopping Time, Peak Value, and Risk Indicators in Infectious Disease Models
- Weak Diffusive Stability Induced by High-Order Spectral Degeneracies
- Global theory of nonlinear Schrodinger equations in the weighted space
- Super Liouville equations on surfaces
- Part I: The local well-posedness of the water wave equations
- Dynamics of a consumer-resource model in a two-patch environment
- On the Cauchy problem for the nonlinear Schrödinger equation on the two sphere
- On a Mathematical Model Arising from an Optimal Chemotherapeutic Drug Treatment for Tumor Cells
- 临界John问题新探
- The sharp estimate of nodal sets for Dirichlet Laplace eigenfunctions in polytopes
- Part I: Two conformal compactifications of Minkowski spacetime
- Part II: Schwarzschild’s spacetime, its maximal extension and conformal compactification
- Part III: Conformal wave equation and Friedlander’s radiation fields
- Part IV: Lax-Phillips theory
- Global well-posedness and scattering for the massive Dirac-Klein-Gordon system in two space dimensions
Vortex solutions for Inhomogeneous Gross-Pitaevskii Equation in Three Dimensional Spaces
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