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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability conditions for a free boundary problem of 3-D compressible Euler equations coupled with a nonlinear Poisson equation
三维 可压缩欧拉方程 耦合 非线性泊松方程 自由边界问题 稳定性条件
2023/4/18
In this talk, I will discuss the stability conditions for a free boundary problem of compressible Euler equations coupled with a nonlinear Poisson equation of electric potential. Under those stability...
Maximal multipliers on compact manifolds without boundary
Maximal multipliers compact manifolds boundary Analysis of PDEs
2012/7/11
Hormander-Mihklin type multiplier theorem on compacts manifolds withour boundary has been obtained by using the wave kernels. We consider maximal multiplies on this setting. To obtain the result, we c...
Singular parabolic p-Laplacian systems under non-smooth external forces. Regularity up to the boundary
Initial-boundary value problems p-Laplacian parabolic singular systems regularity up to the boundary
2012/6/30
We study the regularity of the solutions to initial-boundary value problems for N-systems of the p-Laplacian type, in $n\geq 3$ space variables, with square-integrable external forces in the space-tim...
Uniform resolvent convergence for a strip with fast oscillating boundary
Uniform resolvent convergence strip fast oscillating boundary Analysis of PDEs
2012/6/30
In a planar infinite strip with fast periodically oscillating boundary we consider an elliptic operator assuming that both the period and the amplitude of the oscillations are small. On the oscillatin...
Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term
Damped wave equations boundary delay global solutions exponential stability Kelvin-Voigt damping dynamic boundary conditions
2012/6/21
In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions related to the Kelvin-Voigt damping and a delay term acting on the boundary. If the weight of the delay ter...
Bounds on the volume fractions of two materials in a three dimensional body from boundary measurements by the translation method
inverse problems size estimation electrical impedance tomography
2012/6/19
Using the translation method of Tartar, Murat, Lurie, and Cherkaev bounds are derived on the volume occupied by an inclusion in a three-dimensional conducting body. They assume electrical impedance to...
Parabolic equations with dynamical boundary conditions and source terms on interfaces
parabolic equation quasilinear parabolic problem mixed boundary condition dynamical boundary condition maximal parabolic Lp-regularity
2012/6/19
We consider parabolic equations with mixed boundary conditions and domain inhomogeneities supported on a lower dimensional hypersurface, enforcing a jump in the conormal derivative. Only minimal regul...
Continuity of attractors for a nonlinear parabolic problem with terms concentrating in the boundary
Partial differential equations on infinite-dimensional spaces asymptotic behavior of solutions attractors singular perturbations concentrating terms
2012/4/17
We analyze the dynamics of the flow generated by a nonlinear parabolic problem when some reaction and potential terms are concentrated in a neighborhood of the boundary. We assume that this neighborho...
A nonlinear elliptic problem with terms concentrating in the boundary
Semilinear elliptic equations nonlinear boundary conditions singular elliptic equations upper semicontinuity concentrating terms
2012/4/17
In this paper we investigate the behavior of a family of steady state solutions of a nonlinear reaction diffusion equation when some reaction and potential terms are concentrated in a $\epsilon$-neigh...
Boundary behavior for a singular quasi-linear elliptic equation
Singular elliptic equations quasi-linear elliptic equations qualitative behavior
2012/4/17
In a smooth bounded domain we obtain existence, uniqueness, regularity and boundary behavior for a class of singular quasi-linear elliptic equations.
Reconstruction of a potential from the impedance boundary map
Reconstruction potential the impedance boundary map Analysis of PDEs
2012/4/17
We give formulas and equations for finding generalized scattering data for the Schr\"odinger equation in open bounded domain at fixed energy from the impedance boundary map (or Robin-to-Robin map). Co...
Analysis of the Brinkman-Forchheimer equations with slip boundary conditions
Brinkman-Forchheimer equations Slip boundary conditions Weak solutions Continuous dependence
2012/2/29
In this work, we study the Brinkman-Forchheimer equations driven under slip boundary conditions of friction type. We prove the existence and uniqueness of weak solutions by means of regularization com...
Initial-boundary value problem for the equation of timelike extremal surfaces in Minkowski space
Applied mathematics Minkowski space Timelike extremal surfaces Initial-boundary value problem
2011/10/15
In this paper we investigate the mixed initial-boundary value problem for the equation of time-like extremal surfaces in Minkowski space $R^{1+(1+n)}$ in the first quadrant. Under the assumptions that...
Regularity of solutions of a free boundary problem modeling the growth of solid tumors
Free boundary problem tumor model regularity
2011/10/15
In this paper we study a free boundary problem modeling the growth of solid tumors. Due to the free boundary and surface tension effects, this problem is a nonlinear problem involving non-local terms....
Analysis of the Leray-α model with Navier slip boundary condition
turbulence model existence weak solution
2011/9/22
Abstract: In this paper, we establish the existence and the regularity of a unique weak solution to turbulent flows in a bounded domain ${\Omega}\subset \mathbb R^3$ governed by the so-called Leray-{\...