搜索结果: 1-15 共查到“偏微分方程 type A”相关记录20条 . 查询时间(0.359 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Entropy-Dissipation Informed Neural Networks for McKean-Vlasov type PDEs
McKean-Vlasov型 偏微分方程 熵耗散 信息神经网络
2023/4/13
We extend the concept of self-consistency for the Fokker-Planck equation (FPE) [Shen et al., 2022] to the more general McKean-Vlasov equation (MVE). While FPE describes the macroscopic behavior of par...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Liouville’s theorem for some Monge-Ampère type equations
蒙日-安培型方程 刘维尔定理 单调准局部质量类型量
2023/4/13
We study a Monge-Ampère type equation which interpolates the sigma_2-Yamabe equation in conformal geometry and the 2-Hessian equation. In dimension 4, we prove a corresponding Liouville’s theorem. Our...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Heintze Karcher type inequalities on capillary hypersurfaces in hyperbolic space
双曲空间 毛细管超表面 海因茨·卡彻型不等式
2023/4/23
In this talk, I will introduce our recent result on Heintze Karcher type inequalities for capillary hypersurfaces supported on different types of umbilical hypersurfaces in hyperbolic space. I will in...
Dissipative behavior of some fully non-linear KdV-type equations
KdV-type equations Finite-difference methods Nonlinear dynamics
2015/10/8
The KdV equation can be considered as a special case of the general equationutCf .u/x−g.uxx/x D 0;> 0;wheref is
non-linear andg is linear, namelyf .u/ D u2=2 andg.v/ D v. As the parameter t...
The global solutions of algebro-geometric type for Degasperis-Procesi hierarchy
The global solutions of algebro-geometric type Degasperis-Procesi hierarchy Exactly Solvable and Integrable Systems
2012/4/26
Though completely integrable Camassa-Holm (CH) equation and Degasperis-Procesi (DP) equation are cast in the same peakon family, they possess the second- and third-order Lax operators, respectively. F...
Almgren-type monotonicity methods for the classification of behavior at corners of solutions to semilinear elliptic equations
Almgren monotonicity formula semilinear elliptic equations conical boundary points
2011/9/19
Abstract: A monotonicity approach to the study of the asymptotic behavior near corners of solutions to semilinear elliptic equations in domains with a conical boundary point is discussed. The presence...
Boundary Characteristic Point Regularity for Navier-Stokes Equations: Blow-up Scaling and Petrovskii-type Criterion (a Formal Approach)
Navier–Stokes equations in R3 backward paraboloid characteristic vertex boundary regularity blow-up scaling boundary layer
2011/9/6
Abstract: It is shown that Wiener's regularity of the vertex of a backward paraboloid for 3D Navier-Stokes equations with zero Dirichlet conditions on the paraboloid boundary is given by Petrovskii's ...
Existence and multiplicity of solutions to equations of $N-$Laplacian type with critical exponential growth in $\mathbb{R}^{N}$
Ekeland variational principle Mountain-pass Theorem Variational methods Critical growth Moser-Trudinger inequality
2011/8/23
Abstract: In this paper, we deal with the existence and multiplicity of solutions to the nonuniformly elliptic equation of the N-Lapalcian type with a potential and a nonlinear term of critical expone...
A New Type of Traveling Interface Modulations in a Catalytic Surface Reaction
Traveling Interface Modulations spatially separated domains
2011/7/6
A new type of traveling interface modulations has been observed in the NH$_3$ + O$_2$ reaction on a Rh(110) surface. A model is set up which reproduces the effect, which is attributed to diffusional m...
Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type $A_6^{(1)}$
Painlev´ e equations ultradiscrete systems
2011/7/6
An ultradiscrete system corresponding to the q-Painlev´e equation of type A(1)
6 ,
which is a q-difference analogue of the second Painlev´e equation, is proposed. Exact solutions
with t...
On a Fourth Order Lichnerowicz Type Equation Involving The Paneitz-Branson Operator
Fourth Order Lichnerowicz Type Equation Paneitz-Branson Operator
2011/2/24
In this paper, we study some fourth order singular critical equa-tions of Lichnerowicz type involving the Paneitz-Branson operator, and we prove existence and non existence results under given assumpt...
Cesari-type Conditions for Semilinear Elliptic Equations with Leading Term Containing Controls
optimal control existence conditions elliptic equations homogenization
2011/1/18
An optimal control problem governed by semilinear elliptic partial differential equations is con-sidered. The equation is in divergence form with the leading term containing controls. By studying the ...
Chen Rotational Surfaces of Hyperbolic or Elliptic Type in the Four-dimensional Minkowski Space
Rotational surfaces Chen submanifolds four-dimensional Minkowski space
2011/1/18
We study the class of spacelike surfaces in the four-dimensional Minkowski space whose mean curvature vector at any point is a non-zero spacelike vector or timelike vector.These surfaces are determine...
A complex surface of general type with $p_g=0$, $K^2=2$ and $H_1=\mathbb{Z}/4\mathbb{Z}$
complex surface of general type $p_g=0$, $K^2=2$ $H_1=\mathbb{Z}/4\mathbb{Z}$
2011/2/28
One of the greatest difficulties encountered by all in their first proof intensive class is
subtly assuming an unproven fact in a proof. The purpose of this note is to describe a specific instance wh...
We study the spectra of certain integro-differential equations aris-ing in applications. Under some conditions on the kernel of the integral operator, we describe the non-real part of the spectrum.MSC...