Results 51 to 60 of about 969 (189)
Generalized Hardy-Sobolev inequalities and exponential decay of the entropy of g(x)u·=Δu
, 2004 Provided the non-negative function g∈Lloc1(Ω) allows for a generalized Hardy-Sobolev inequality, existence and uniqueness of global weak solutions of the possibly degenerate parabolic PDE g(x)u·=Δu, subject to homogeneous Dirichlet boundary conditions ...
Ramaswamy, Mythily, Unterreiter, Andreas
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Time-inconsistent control problems, path-dependent PDEs, and neural network approximation
, 2022 There are two main parts of this thesis: Time-Inconsistent Control (TIC) problems (Chapters 1 and 2) and the neural network approximation (Chapters 3 and 4).
Nguwi, Jiang Yu
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
wiley +1 more source
Exact Solutions of Linear Multiple Delay Partial Differential Equations
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
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Lagrangian structures and multidimensional consistency [PDF]
, 2010 The conventional point of view is that the Lagrangian is a scalar object (or equivalently a volume form), which through the Euler-Lagrange equations provides us with one single equation (i.e., one per component of the dependent variable ...
Lobb, Sarah Beverley
core
Non-monotone stochastic generalized porous media equations
, 2008 By using the Nash inequality and a monotonicity approximation argument, existence and uniqueness of strong solutions are proved for a class of non-monotone stochastic generalized porous media equations.
Röckner, Michael +2 more
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On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of Forchheimer‐type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a nonlinear partial differential equation for the pseudo‐pressure.
Emine Celik, Luan Hoang, Thinh Kieu
wiley +1 more source
Numerical analysis of the method of freezing traveling waves
, 2005 Thümmler V. Numerical analysis of the method of freezing traveling waves. Bielefeld (Germany): Bielefeld University; 2005.In der vorliegenden Arbeit werden spezielle Lösungen von parabolischen partiellen Differentialgleichungen (PDE) u_t = A u_xx + f(u ...
Thümmler, Vera
core
Global existence of solutions to a tear film model with locally elevated evaporation rates
, 2017 Motivated by a model proposed by Peng et al. [Advances in Coll. and Interf. Sci. 206 (2014)] for break-up of tear films on human eyes, we study the dynamics of a generalized thin film model.
Gao, Yuan +3 more
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley +1 more source