Keywords: وجود محلی; Self-organized hydrodynamics; Viscous model; Local existence; Symmetrization;
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Keywords: وجود محلی; Shallow water equations; Stochastic partial differential equations; Galerkin approximation; Martingale solutions; Local existence;
Keywords: وجود محلی; Nonlocal diffusion; Local existence; Inhomogeneous; Blow-up
Keywords: وجود محلی; Nonlinear acoustics; Westervelt's equation; Local existence
Keywords: وجود محلی; Local existence; Differential inclusion; Neural network; Filippov's solution;
Keywords: وجود محلی; Local existence; Global existence; Blow-up; Viscoelastic; Relaxation function
Probabilistic representation and local existence for the quasi-linear partial integro-differential equations with Sobolev initial value
Keywords: وجود محلی; 60H30; Stochastic representation; Local existence; Sobolev space; Quasi-linear partial integro-differential equations;
A characteristic of local existence for nonlinear fractional heat equations in Lebesgue spaces
Keywords: وجود محلی; Fractional heat equation; Dirichlet fractional heat kernel; Local existence; Non-existence;
Higher dimensional curved domain walls on Kähler surfaces
Keywords: وجود محلی; Domain walls; Stability; Local existence;
Global existence and asymptotic behavior of classical solutions to a parabolic-elliptic chemotaxis system with logistic source on RN
Keywords: وجود محلی; 35B35; 35B40; 35K57; 35Q92; 92C17; Parabolic-elliptic chemotaxis system; Logistic source; Classical solution; Local existence; Global existence; Asymptotic behavior;
Local existence of unique strong solution to non-isothermal model for incompressible nematic liquid crystals in 3D
Keywords: وجود محلی; Incompressible flow; Liquid crystals; Non-isothermal; Local existence; Uniqueness76N10; 35Q30; 35R35
A complete characterisation of local existence for semilinear heat equations in Lebesgue spaces
Keywords: وجود محلی; Semilinear heat equation; Dirichlet problem; Local existence; Non-existence; Instantaneous blow-up; Dirichlet heat kernel;
Cauchy problem for doubly degenerate parabolic equation with gradient source
Keywords: وجود محلی; 35K15; 35K55; 35K65Doubly nonlinear parabolic equation; Cauchy problem; Gradient source; Local existence
Existence of solutions to some degenerate parabolic equation associated with the pp-Laplacian in the critical case
Keywords: وجود محلی; primary, 35K65; secondary, 34G25Degenerate parabolic equation; Local existence; pp-Laplacian; Subdifferential; Reflexive Banach space; Critical case
Local and global solutions for some parabolic nonlocal problems
Keywords: وجود محلی; Nonlocal parabolic problem; Newtonian nonlinearity; Local existence; Global existence; A priori estimates
Local and global existence for quasilinear parabolic systems with a strongly nonlinear source
Keywords: وجود محلی; 35K45; 35K55; Quasilinear parabolic system; Cauchy problem; Local existence; Global existence and nonexistence; Strongly nonlinear source;
Classical solutions of hyperbolic IBVPs with state dependent delays on a cylindrical domain
Keywords: وجود محلی; 35R10; 35L60Partial functional differential equations; Classical solutions; Local existence; Bicharacteristics; Cylindrical domain
Some properties of strong solutions to nonlinear heat and moisture transport in multi-layer porous structures
Keywords: وجود محلی; Initial-boundary value problems for second-order parabolic systems; Local existence; Smoothness and regularity of solutions; Coupled heat and mass transport
Local and global existence of solutions for a class of integro-differential equations with delay
Keywords: وجود محلی; Delay integro-differential equations; Global existence; Local existence
An extension of Dickstein’s “small lambda” theorem for finite time blowup
Keywords: وجود محلی; Blowup; Local existence; Rescaling; Weak initial data; Sign-changing solutions; Nonlinear heat equation
Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type
Keywords: وجود محلی; 35L05; 35L15; 35L70; 37B25Nonlinear wave equation; Local existence; Global existence; Blow up; Exponential decay
Local existence of solutions for the initial-boundary value problem of the nonlinear elastodynamic system outside a domain
Keywords: وجود محلی; 35L70; 74H20; 74B20Nonlinear elastodynamic system; Exterior problem; Local existence
Local existence of solutions to dissipative nonlinear evolution equations with mixed types
Keywords: وجود محلی; 35B40; 35F25; 35K45; Evolution equation; Local existence; Contraction mapping principle;
Global dynamics of a relativistic charged plasma in a Bianchi type I space-time
Keywords: وجود محلی; Differential system; Local existence; Global existence; Constraints; Mean curvature; Asymptotic behavior;
Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source
Keywords: وجود محلی; 35L20; 35L70; 58G16Viscoelastic wave equations; Local existence; Global existence; Blow-up
Existence and decay of solutions of a viscoelastic equation with a nonlinear source
Keywords: وجود محلی; 35L05; 35L15; 35L70; 37B25Global existence; Exponential decay; Local existence; Nonlinear source; Polynomial decay; Relaxation function; Viscoelastic
Local existence with physical vacuum boundary condition to Euler equations with damping
Keywords: وجود محلی; 35L67; 35L65; 35L05; Euler equations; Physical vacuum boundary condition; Littlewood-Paley theory; Local existence;
Solutions of the 2D quasi-geostrophic equation in Hölder spaces
Keywords: وجود محلی; 76U05; 76B03; 76V05; 35Q35; 2D quasi-geostrophic equation; Hölder space; Local existence;
Evolution inclusions governed by the difference of two subdifferentials in reflexive Banach spaces
Keywords: وجود محلی; Evolution equation; Subdifferential; Reflexive Banach space; p-Laplacian; Subcritical; Local existence; Degenerate parabolic equation;